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## Berberan-Santos, Mário N.

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 Author ID: berberan-santos.mario-n Published as: Berberan-Santos, M.; Berberan-Santos, Mario N.; Berberan-Santos, Mário N.
 Documents Indexed: 17 Publications since 1996
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#### Co-Authors

 8 single-authored 6 Pogliani, Lionello 4 Bodunov, Evgeny N. 1 Baleizão, Carlos 1 Martinho, José M. G. 1 Palmeira, Tiago 1 Valeur, B.

#### Serials

 16 Journal of Mathematical Chemistry 1 Annalen der Physik. 8th Series
all top 5

#### Fields

 5 Integral transforms, operational calculus (44-XX) 5 Biology and other natural sciences (92-XX) 3 Special functions (33-XX) 3 Probability theory and stochastic processes (60-XX) 2 History and biography (01-XX) 2 Ordinary differential equations (34-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

12 Publications have been cited 56 times in 51 Documents Cited by Year
Properties of the Mittag-Leffler relaxation function. Zbl 1101.33015
Berberan-Santos, Mário N.
2005
Analytical inversion of the Laplace transform without contour integration: application to luminescence decay laws and other relaxation functions. Zbl 1217.44002
Berberan-Santos, Mário N.
2005
Constantin Carathéodory and the axiomatic thermodynamics. Zbl 1023.80001
Pogliani, Lionello; Berberan-Santos, Mario N.
2000
Relation between the inverse Laplace transforms of $$I(t^{\beta })$$ and $$I(t)$$: application to the Mittag-Leffler and asymptotic inverse power law relaxation functions. Zbl 1217.44003
Berberan-Santos, Mário N.
2005
Classical and quantum study of the motion of a particle in a gravitational field. Zbl 1070.81036
Berberan-Santos, Mário N.; Bodunov, Evgeny N.; Pogliani, Lionello
2005
History of the Kohlrausch (stretched exponential) function: Pioneering work in luminescence. Zbl 1192.81008
Berberan-Santos, M.; Bodunov, E. N.; Valeur, B.
2008
Expressing a probability density function in terms of another PDF: a generalized Gram-Charlier expansion. Zbl 1129.62007
Berberan-Santos, Mário N.
2007
Matrix and convolution methods in chemical kinetics. Zbl 0888.92040
Pogliani, Lionello; Berberan-Santos, Mário N.; Martinho, José M. G.
1996
The van der Waals equation: analytical and approximate solutions. Zbl 1217.80005
Berberan-Santos, Mario N.; Bodunov, Evgeny N.; Pogliani, Lionello
2008
Enzyme kinetics with a twist. Zbl 1227.92028
Baleizão, Carlos; Berberan-Santos, Mário N.
2011
Mathematical basis of the integral formalism of chemical kinetics. Compact representation of the general solution of the first-order linear differential equation. Zbl 1193.92095
Berberan-Santos, Mário N.
2010
Computation of one-sided probability density functions from their cumulants. Zbl 1288.62019
Berberan-Santos, Mário N.
2007
Enzyme kinetics with a twist. Zbl 1227.92028
Baleizão, Carlos; Berberan-Santos, Mário N.
2011
Mathematical basis of the integral formalism of chemical kinetics. Compact representation of the general solution of the first-order linear differential equation. Zbl 1193.92095
Berberan-Santos, Mário N.
2010
History of the Kohlrausch (stretched exponential) function: Pioneering work in luminescence. Zbl 1192.81008
Berberan-Santos, M.; Bodunov, E. N.; Valeur, B.
2008
The van der Waals equation: analytical and approximate solutions. Zbl 1217.80005
Berberan-Santos, Mario N.; Bodunov, Evgeny N.; Pogliani, Lionello
2008
Expressing a probability density function in terms of another PDF: a generalized Gram-Charlier expansion. Zbl 1129.62007
Berberan-Santos, Mário N.
2007
Computation of one-sided probability density functions from their cumulants. Zbl 1288.62019
Berberan-Santos, Mário N.
2007
Properties of the Mittag-Leffler relaxation function. Zbl 1101.33015
Berberan-Santos, Mário N.
2005
Analytical inversion of the Laplace transform without contour integration: application to luminescence decay laws and other relaxation functions. Zbl 1217.44002
Berberan-Santos, Mário N.
2005
Relation between the inverse Laplace transforms of $$I(t^{\beta })$$ and $$I(t)$$: application to the Mittag-Leffler and asymptotic inverse power law relaxation functions. Zbl 1217.44003
Berberan-Santos, Mário N.
2005
Classical and quantum study of the motion of a particle in a gravitational field. Zbl 1070.81036
Berberan-Santos, Mário N.; Bodunov, Evgeny N.; Pogliani, Lionello
2005
Constantin Carathéodory and the axiomatic thermodynamics. Zbl 1023.80001
Pogliani, Lionello; Berberan-Santos, Mario N.
2000
Matrix and convolution methods in chemical kinetics. Zbl 0888.92040
Pogliani, Lionello; Berberan-Santos, Mário N.; Martinho, José M. G.
1996
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#### Cited by 83 Authors

 8 Berberan-Santos, Mário N. 3 Doungmo Goufo, Emile Franc 3 Pogliani, Lionello 2 Bodunov, Evgeny N. 2 Cai, Guanghui 2 Campión, María Jesús 2 Fa, Kwok Sau 2 Induráin, Esteban 2 Mugisha, Stella 2 Tasi, Gyula 2 Tóbiás, Roland 1 Achar, B. N. Narahari 1 Alawad, Fatima A. 1 Altenbach, Holm 1 Anderssen, Robert Scott 1 Arbab, Arbab Ibrahim 1 Arzamendi, G. 1 Balakrishnan, Narayanaswamy 1 Bazhlekova, Emilia G. 1 Belkić, Dževad 1 Cancho, Vicente Garibay 1 Chechkin, Aleksei V. 1 Cheng, Yi 1 Cohen, Leon W. 1 Cordeiro, Gauss Moutinho 1 da Silva, José Luís 1 Dharmani, Bhaveshkumar C. 1 Dybiec, Bartłomiej 1 El-Nabulsi, Rami Ahmad 1 Erraoui, Mohamed 1 Fečkan, Michal 1 Feldman, Marcus W. 1 Gandía, L. M. 1 Gao, Shanshan 1 Garrappa, Roberto 1 Gilpin, William 1 Goenner, Hubert F. M. 1 Gómez-Polo, Cristina 1 Guido, Maione 1 Hanneken, John W. 1 Hantke, Maren 1 Haubold, Hans Joachim 1 Hiwarekar, A. P. 1 Holm, Sverre 1 Hong, Liu 1 Ivanova, Elena A. 1 Kyurkchiev, Nikolaĭ Veselinov 1 Lin, Yumin 1 Loy, Richard J. 1 Lü, Qi 1 Ma, Chunsheng 1 Mainardi, Francesco 1 Maritz, Riëtte 1 Markov, Svetoslav Marinovich 1 Mathai, Arakaparampli Mathai 1 Matsuzoe, Hiroshi 1 Näsholm, Sven Peter 1 Palmeira, Tiago 1 Qian, Hong 1 Raventós-Pujol, Armajac 1 Rodrigues, Josemar 1 Saxena, Ram Kishore 1 Scarfone, Antonio Maria 1 Silva González, Rodrigo 1 Sokolov, Igor’ Mikhaĭlovich 1 Souto Martinez, Alexandre 1 Spiring, Fred A. 1 Stachó, László L. 1 Terçariol, César Augusto Sangaletti 1 Thein, Ferdinand 1 Thompson, Lowell F. 1 Turulski, Jan 1 Vilchevskaya, Elena N. 1 Wada, Tatsuaki 1 Walker, Stephen Grahm 1 Wang, Jinrong 1 Wang, Kevin Guanyuan 1 Wu, Yuhu 1 Xu, Chuanju 1 Yousif, Eltayeb A. 1 Zhong, Min 1 Zhou, Yong 1 Zuazua, Enrique
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#### Cited in 31 Serials

 19 Journal of Mathematical Chemistry 2 Mathematical Problems in Engineering 2 Fractional Calculus & Applied Analysis 1 International Journal of Modern Physics B 1 General Relativity and Gravitation 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Annals of the Institute of Statistical Mathematics 1 Biometrical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Theoretical Population Biology 1 MCSS. Mathematics of Control, Signals, and Systems 1 Continuum Mechanics and Thermodynamics 1 The Journal of Analysis 1 Integral Transforms and Special Functions 1 Communications in Nonlinear Science and Numerical Simulation 1 The ANZIAM Journal 1 Journal of Applied Mathematics 1 Entropy 1 Journal of Hyperbolic Differential Equations 1 Advances in Difference Equations 1 Stochastics 1 Advances in Mathematical Physics 1 International Journal of Differential Equations 1 Advances in Decision Sciences 1 Statistics and Computing 1 Axioms 1 Quantum Studies: Mathematics and Foundations 1 Journal of Function Spaces 1 Open Mathematics
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#### Cited in 24 Fields

 12 Partial differential equations (35-XX) 11 Special functions (33-XX) 8 Statistics (62-XX) 8 Biology and other natural sciences (92-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Ordinary differential equations (34-XX) 6 Probability theory and stochastic processes (60-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Real functions (26-XX) 4 Integral transforms, operational calculus (44-XX) 4 Fluid mechanics (76-XX) 3 Operator theory (47-XX) 3 Numerical analysis (65-XX) 3 Systems theory; control (93-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)