TY  - JOUR
AU  - Milovanović, Gradimir V.
AU  - Pilipović, Stevan
PY  - 2021
UR  - https://dais.sanu.ac.rs/123456789/13280
AB  - Eminent scientist Aleksandar Sanja Ivić, Full Member of the Serbian Academy of Sciences and Arts (SANU), passed away on December 27, 2020, after a vicious illness he faced with an unprecedented will, but unfortunately he could not cope.
PB  - Beograd : Académie Serbe des sciences et des arts
T2  - Bulletin T.CLIV de l’Académie serbe des sciences et des arts
T1  - In Memorium: Aleksandar Ivić (March 6, 1949 – December 27, 2020)
SP  - 1
EP  - 11
UR  - https://hdl.handle.net/21.15107/rcub_dais_13280
ER  - 

@article{
author = "Milovanović, Gradimir V. and Pilipović, Stevan",
year = "2021",
abstract = "Eminent scientist Aleksandar Sanja Ivić, Full Member of the Serbian Academy of Sciences and Arts (SANU), passed away on December 27, 2020, after a vicious illness he faced with an unprecedented will, but unfortunately he could not cope.",
publisher = "Beograd : Académie Serbe des sciences et des arts",
journal = "Bulletin T.CLIV de l’Académie serbe des sciences et des arts",
title = "In Memorium: Aleksandar Ivić (March 6, 1949 – December 27, 2020)",
pages = "1-11",
url = "https://hdl.handle.net/21.15107/rcub_dais_13280"
}

Milovanović, G. V.,& Pilipović, S.. (2021). In Memorium: Aleksandar Ivić (March 6, 1949 – December 27, 2020). in Bulletin T.CLIV de l’Académie serbe des sciences et des arts
Beograd : Académie Serbe des sciences et des arts., 1-11.
https://hdl.handle.net/21.15107/rcub_dais_13280

Milovanović GV, Pilipović S. In Memorium: Aleksandar Ivić (March 6, 1949 – December 27, 2020). in Bulletin T.CLIV de l’Académie serbe des sciences et des arts. 2021;:1-11.
https://hdl.handle.net/21.15107/rcub_dais_13280 .

Milovanović, Gradimir V., Pilipović, Stevan, "In Memorium: Aleksandar Ivić (March 6, 1949 – December 27, 2020)" in Bulletin T.CLIV de l’Académie serbe des sciences et des arts (2021):1-11,
https://hdl.handle.net/21.15107/rcub_dais_13280 .

TY  - CONF
AU  - Milovanović, Gradimir V.
PY  - 2021
UR  - https://dais.sanu.ac.rs/123456789/13287
AB  - Beside a short account on the summation/integration methods for slowly
convergent series (Laplace transform method for numerical and trigonometric series and the
method of contour integration over a rectangle), a method based on a new transformation of
the series to a weighted integral, with respect to the weight function
over R+, is presented. Such a method is applied to calculation of the values of the Riemann
zeta function. Several numerical examples are included.
PB  - Beograd : Académie Serbe des sciences et des arts
C3  - Bulletin T.CLIV de l’Académie serbe des sciences et des arts
T1  - Summation of slowly convergent series by Gaussian type of quadratures and application to calculation of values of the Riemann zeta function
SP  - 131
EP  - 150
UR  - https://hdl.handle.net/21.15107/rcub_dais_13287
ER  - 

@conference{
author = "Milovanović, Gradimir V.",
year = "2021",
abstract = "Beside a short account on the summation/integration methods for slowly
convergent series (Laplace transform method for numerical and trigonometric series and the
method of contour integration over a rectangle), a method based on a new transformation of
the series to a weighted integral, with respect to the weight function
over R+, is presented. Such a method is applied to calculation of the values of the Riemann
zeta function. Several numerical examples are included.",
publisher = "Beograd : Académie Serbe des sciences et des arts",
journal = "Bulletin T.CLIV de l’Académie serbe des sciences et des arts",
title = "Summation of slowly convergent series by Gaussian type of quadratures and application to calculation of values of the Riemann zeta function",
pages = "131-150",
url = "https://hdl.handle.net/21.15107/rcub_dais_13287"
}

Milovanović, G. V.. (2021). Summation of slowly convergent series by Gaussian type of quadratures and application to calculation of values of the Riemann zeta function. in Bulletin T.CLIV de l’Académie serbe des sciences et des arts
Beograd : Académie Serbe des sciences et des arts., 131-150.
https://hdl.handle.net/21.15107/rcub_dais_13287

Milovanović GV. Summation of slowly convergent series by Gaussian type of quadratures and application to calculation of values of the Riemann zeta function. in Bulletin T.CLIV de l’Académie serbe des sciences et des arts. 2021;:131-150.
https://hdl.handle.net/21.15107/rcub_dais_13287 .

Milovanović, Gradimir V., "Summation of slowly convergent series by Gaussian type of quadratures and application to calculation of values of the Riemann zeta function" in Bulletin T.CLIV de l’Académie serbe des sciences et des arts (2021):131-150,
https://hdl.handle.net/21.15107/rcub_dais_13287 .

TY  - JOUR
AU  - Jokić, Ivana
AU  - Đurić, Zoran G.
AU  - Radulović, Katarina
AU  - Frantlović, Miloš
AU  - Milovanović, Gradimir V.
AU  - Krstajić, Predrag M.
PY  - 2021
UR  - https://dais.sanu.ac.rs/123456789/11638
AB  - In order to improve the interpretation of measurement results and to achieve the optimal performance of microfluidic biosensors, advanced mathematical models of their time response and noise are needed. The random nature of adsorption–desorption and mass transfer (MT) processes that generate the sensor response makes the sensor output signal inherently stochastic and necessitates the use of a stochastic approach in sensor response analysis. We present a stochastic model of the sensor time response, which takes into account the coupling of adsorption–desorption and MT processes. It is used for the analysis of response kinetics and ultimate noise performance of protein biosensors. We show that slow MT not only decelerates the response kinetics, but also increases the noise and decreases the sensor’s maximal achievable signal-to-noise ratio, thus degrading the ultimate sensor performance, including the minimal detectable/quantifiable analyte concentration. The results illustrate the significance of the presented model for the correct interpretation of measurement data, for the estimation of sensors’ noise performance metrics important for reliable analyte detection/quantification, as well as for sensor optimization in terms of the lower detection/quantification limit. They are also incentives for the further investigation of the MT influence in nanoscale sensors, as a possible cause of false-negative results in analyte detection experiments.
PB  - Basel : MDPI AG
T2  - Biosensors
T1  - Stochastic Time Response and Ultimate Noise Performance of Adsorption-Based Microfluidic Biosensors
SP  - 194
VL  - 11
IS  - 6
DO  - 10.3390/bios11060194
UR  - https://hdl.handle.net/21.15107/rcub_dais_11638
ER  - 

@article{
author = "Jokić, Ivana and Đurić, Zoran G. and Radulović, Katarina and Frantlović, Miloš and Milovanović, Gradimir V. and Krstajić, Predrag M.",
year = "2021",
abstract = "In order to improve the interpretation of measurement results and to achieve the optimal performance of microfluidic biosensors, advanced mathematical models of their time response and noise are needed. The random nature of adsorption–desorption and mass transfer (MT) processes that generate the sensor response makes the sensor output signal inherently stochastic and necessitates the use of a stochastic approach in sensor response analysis. We present a stochastic model of the sensor time response, which takes into account the coupling of adsorption–desorption and MT processes. It is used for the analysis of response kinetics and ultimate noise performance of protein biosensors. We show that slow MT not only decelerates the response kinetics, but also increases the noise and decreases the sensor’s maximal achievable signal-to-noise ratio, thus degrading the ultimate sensor performance, including the minimal detectable/quantifiable analyte concentration. The results illustrate the significance of the presented model for the correct interpretation of measurement data, for the estimation of sensors’ noise performance metrics important for reliable analyte detection/quantification, as well as for sensor optimization in terms of the lower detection/quantification limit. They are also incentives for the further investigation of the MT influence in nanoscale sensors, as a possible cause of false-negative results in analyte detection experiments.",
publisher = "Basel : MDPI AG",
journal = "Biosensors",
title = "Stochastic Time Response and Ultimate Noise Performance of Adsorption-Based Microfluidic Biosensors",
pages = "194",
volume = "11",
number = "6",
doi = "10.3390/bios11060194",
url = "https://hdl.handle.net/21.15107/rcub_dais_11638"
}

Jokić, I., Đurić, Z. G., Radulović, K., Frantlović, M., Milovanović, G. V.,& Krstajić, P. M.. (2021). Stochastic Time Response and Ultimate Noise Performance of Adsorption-Based Microfluidic Biosensors. in Biosensors
Basel : MDPI AG., 11(6), 194.
https://doi.org/10.3390/bios11060194
https://hdl.handle.net/21.15107/rcub_dais_11638

Jokić I, Đurić ZG, Radulović K, Frantlović M, Milovanović GV, Krstajić PM. Stochastic Time Response and Ultimate Noise Performance of Adsorption-Based Microfluidic Biosensors. in Biosensors. 2021;11(6):194.
doi:10.3390/bios11060194
https://hdl.handle.net/21.15107/rcub_dais_11638 .

Jokić, Ivana, Đurić, Zoran G., Radulović, Katarina, Frantlović, Miloš, Milovanović, Gradimir V., Krstajić, Predrag M., "Stochastic Time Response and Ultimate Noise Performance of Adsorption-Based Microfluidic Biosensors" in Biosensors, 11, no. 6 (2021):194,
https://doi.org/10.3390/bios11060194 .,
https://hdl.handle.net/21.15107/rcub_dais_11638 .

TY  - CONF
AU  - Milovanović, Gradimir V.
AU  - Mir, Abdullah
AU  - Hussain, Adil
AU  - Ahmad, Abrar
PY  - 2020
UR  - https://dais.sanu.ac.rs/123456789/13424
AB  - In this paper, we establish some upper bound estimates for the modulus of
the derivative of a polynomial on the unit disk while taking into account the placement of the
zeros and the extremal coefficients of the polynomial. The obtained results sharpen as well as
generalize the Erdo˝s-Lax inequality and its extension by Aziz and Dawood and other related
inequalities.
PB  - Beograd : Académie Serbe des sciences et des arts
C3  - Bulletin T.CLIII de l’Académie serbe des sciences et des arts
T1  - A note on sharpening of the Erdo˝s-Lax inequality concerning polynomials
SP  - 57
EP  - 66
UR  - https://hdl.handle.net/21.15107/rcub_dais_13424
ER  - 

@conference{
author = "Milovanović, Gradimir V. and Mir, Abdullah and Hussain, Adil and Ahmad, Abrar",
year = "2020",
abstract = "In this paper, we establish some upper bound estimates for the modulus of
the derivative of a polynomial on the unit disk while taking into account the placement of the
zeros and the extremal coefficients of the polynomial. The obtained results sharpen as well as
generalize the Erdo˝s-Lax inequality and its extension by Aziz and Dawood and other related
inequalities.",
publisher = "Beograd : Académie Serbe des sciences et des arts",
journal = "Bulletin T.CLIII de l’Académie serbe des sciences et des arts",
title = "A note on sharpening of the Erdo˝s-Lax inequality concerning polynomials",
pages = "57-66",
url = "https://hdl.handle.net/21.15107/rcub_dais_13424"
}

Milovanović, G. V., Mir, A., Hussain, A.,& Ahmad, A.. (2020). A note on sharpening of the Erdo˝s-Lax inequality concerning polynomials. in Bulletin T.CLIII de l’Académie serbe des sciences et des arts
Beograd : Académie Serbe des sciences et des arts., 57-66.
https://hdl.handle.net/21.15107/rcub_dais_13424

Milovanović GV, Mir A, Hussain A, Ahmad A. A note on sharpening of the Erdo˝s-Lax inequality concerning polynomials. in Bulletin T.CLIII de l’Académie serbe des sciences et des arts. 2020;:57-66.
https://hdl.handle.net/21.15107/rcub_dais_13424 .

Milovanović, Gradimir V., Mir, Abdullah, Hussain, Adil, Ahmad, Abrar, "A note on sharpening of the Erdo˝s-Lax inequality concerning polynomials" in Bulletin T.CLIII de l’Académie serbe des sciences et des arts (2020):57-66,
https://hdl.handle.net/21.15107/rcub_dais_13424 .

TY  - CONF
AU  - Milovanović, Gradimir V.
AU  - Mateljević, Miodrag
AU  - Albijanić, Miloljub
PY  - 2019
UR  - https://dais.sanu.ac.rs/123456789/9568
PB  - Београд : Српска академија наука и уметности
C3  - Mihailo Petrović Alas : life, work, times : on the occasion of the 150th anniversary of his birth
T1  - The Serbian School of Mathematics – from Mihailo Petrović to the Shanghai list
SP  - 65
EP  - 92
UR  - https://hdl.handle.net/21.15107/rcub_dais_9568
ER  - 

@conference{
author = "Milovanović, Gradimir V. and Mateljević, Miodrag and Albijanić, Miloljub",
year = "2019",
publisher = "Београд : Српска академија наука и уметности",
journal = "Mihailo Petrović Alas : life, work, times : on the occasion of the 150th anniversary of his birth",
title = "The Serbian School of Mathematics – from Mihailo Petrović to the Shanghai list",
pages = "65-92",
url = "https://hdl.handle.net/21.15107/rcub_dais_9568"
}

Milovanović, G. V., Mateljević, M.,& Albijanić, M.. (2019). The Serbian School of Mathematics – from Mihailo Petrović to the Shanghai list. in Mihailo Petrović Alas : life, work, times : on the occasion of the 150th anniversary of his birth
Београд : Српска академија наука и уметности., 65-92.
https://hdl.handle.net/21.15107/rcub_dais_9568

Milovanović GV, Mateljević M, Albijanić M. The Serbian School of Mathematics – from Mihailo Petrović to the Shanghai list. in Mihailo Petrović Alas : life, work, times : on the occasion of the 150th anniversary of his birth. 2019;:65-92.
https://hdl.handle.net/21.15107/rcub_dais_9568 .

Milovanović, Gradimir V., Mateljević, Miodrag, Albijanić, Miloljub, "The Serbian School of Mathematics – from Mihailo Petrović to the Shanghai list" in Mihailo Petrović Alas : life, work, times : on the occasion of the 150th anniversary of his birth (2019):65-92,
https://hdl.handle.net/21.15107/rcub_dais_9568 .

TY  - JOUR
AU  - Atanacković, Teodor M.
AU  - Hadzić, Olga
AU  - Ivić, Aleksandar
AU  - Milovanović, Gradimir V.
AU  - Pilipović, Stevan
PY  - 2018
UR  - https://dais.sanu.ac.rs/123456789/9079
AB  - The eminent scientist Bogoljub Stanković, Full member of the Serbian Academy
of Sciences and Arts (SASA) and a longtime Editor-in-Chief of the SASA Bulletin
of Mathematical Sciences, died on 16 May 2018.
PB  - Beograd : Académie Serbe des sciences et des arts
T2  - Bulletin T.CLI de l’Académie serbe des sciences et des arts
T1  - In Memorium: Bogoljub Stanković (November 1, 1924 –May 16, 2018)
SP  - 1
EP  - 4
UR  - https://hdl.handle.net/21.15107/rcub_dais_9079
ER  - 

@article{
author = "Atanacković, Teodor M. and Hadzić, Olga and Ivić, Aleksandar and Milovanović, Gradimir V. and Pilipović, Stevan",
year = "2018",
abstract = "The eminent scientist Bogoljub Stanković, Full member of the Serbian Academy
of Sciences and Arts (SASA) and a longtime Editor-in-Chief of the SASA Bulletin
of Mathematical Sciences, died on 16 May 2018.",
publisher = "Beograd : Académie Serbe des sciences et des arts",
journal = "Bulletin T.CLI de l’Académie serbe des sciences et des arts",
title = "In Memorium: Bogoljub Stanković (November 1, 1924 –May 16, 2018)",
pages = "1-4",
url = "https://hdl.handle.net/21.15107/rcub_dais_9079"
}

Atanacković, T. M., Hadzić, O., Ivić, A., Milovanović, G. V.,& Pilipović, S.. (2018). In Memorium: Bogoljub Stanković (November 1, 1924 –May 16, 2018). in Bulletin T.CLI de l’Académie serbe des sciences et des arts
Beograd : Académie Serbe des sciences et des arts., 1-4.
https://hdl.handle.net/21.15107/rcub_dais_9079

Atanacković TM, Hadzić O, Ivić A, Milovanović GV, Pilipović S. In Memorium: Bogoljub Stanković (November 1, 1924 –May 16, 2018). in Bulletin T.CLI de l’Académie serbe des sciences et des arts. 2018;:1-4.
https://hdl.handle.net/21.15107/rcub_dais_9079 .

Atanacković, Teodor M., Hadzić, Olga, Ivić, Aleksandar, Milovanović, Gradimir V., Pilipović, Stevan, "In Memorium: Bogoljub Stanković (November 1, 1924 –May 16, 2018)" in Bulletin T.CLI de l’Académie serbe des sciences et des arts (2018):1-4,
https://hdl.handle.net/21.15107/rcub_dais_9079 .

TY  - CONF
AU  - Milovanović, Gradimir V.
PY  - 2018
UR  - https://dais.sanu.ac.rs/123456789/9083
AB  - We present an efficient procedure for constructing the so-called Gauss-Rys
quadrature formulas and the corresponding polynomials orthogonal on (−1, 1) with respect
to the even weight function w(t; x) = exp(−xt2), where x a positive parameter. Such GaussRys quadrature formulas were investigated earlier e.g. by M. Dupuis, J. Rys, H.F. King [J.
Chem. Phys. 65 (1976), 111 − 116; J. Comput. Chem. 4 (1983), 154 − 157], D.W. Schwenke
[Comput. Phys. Comm. 185 (2014), 762 − 763], and B.D. Shizgal [Comput. Theor. Chem.
1074 (2015), 178 − 184], and were used to evaluate electron repulsion integrals in quantum chemistry computer codes. The approach in this paper is based to a transformation of
quadratures on (−1, 1) with N nodes to ones on (0, 1) with only [(N + 1)/2] nodes and their
construction. The method of modified moments is used for getting recurrence coefficients.
Numerical experiments are included.
PB  - Beograd : Académie Serbe des sciences et des arts
C3  - Bulletin T.CLI de l’Académie serbe des sciences et des arts
T1  - An efficient computation of parameters in the Rys quadrature formula
SP  - 39
EP  - 64
UR  - https://hdl.handle.net/21.15107/rcub_dais_9083
ER  - 

@conference{
author = "Milovanović, Gradimir V.",
year = "2018",
abstract = "We present an efficient procedure for constructing the so-called Gauss-Rys
quadrature formulas and the corresponding polynomials orthogonal on (−1, 1) with respect
to the even weight function w(t; x) = exp(−xt2), where x a positive parameter. Such GaussRys quadrature formulas were investigated earlier e.g. by M. Dupuis, J. Rys, H.F. King [J.
Chem. Phys. 65 (1976), 111 − 116; J. Comput. Chem. 4 (1983), 154 − 157], D.W. Schwenke
[Comput. Phys. Comm. 185 (2014), 762 − 763], and B.D. Shizgal [Comput. Theor. Chem.
1074 (2015), 178 − 184], and were used to evaluate electron repulsion integrals in quantum chemistry computer codes. The approach in this paper is based to a transformation of
quadratures on (−1, 1) with N nodes to ones on (0, 1) with only [(N + 1)/2] nodes and their
construction. The method of modified moments is used for getting recurrence coefficients.
Numerical experiments are included.",
publisher = "Beograd : Académie Serbe des sciences et des arts",
journal = "Bulletin T.CLI de l’Académie serbe des sciences et des arts",
title = "An efficient computation of parameters in the Rys quadrature formula",
pages = "39-64",
url = "https://hdl.handle.net/21.15107/rcub_dais_9083"
}

Milovanović, G. V.. (2018). An efficient computation of parameters in the Rys quadrature formula. in Bulletin T.CLI de l’Académie serbe des sciences et des arts
Beograd : Académie Serbe des sciences et des arts., 39-64.
https://hdl.handle.net/21.15107/rcub_dais_9083

Milovanović GV. An efficient computation of parameters in the Rys quadrature formula. in Bulletin T.CLI de l’Académie serbe des sciences et des arts. 2018;:39-64.
https://hdl.handle.net/21.15107/rcub_dais_9083 .

Milovanović, Gradimir V., "An efficient computation of parameters in the Rys quadrature formula" in Bulletin T.CLI de l’Académie serbe des sciences et des arts (2018):39-64,
https://hdl.handle.net/21.15107/rcub_dais_9083 .