TITLE:
A. M. Mathai Centre for Mathematical and Statistical Sciences: A Brief History of the Centre and Prof. Dr. A. M. Mathai’s Research and Education Programs at the Occasion of His 85th Anniversary
AUTHORS:
Hans J. Haubold
KEYWORDS:
Fractional Calculus, Functions of Matrix Argument, Special Functions of Mathematical Physics, Geometrical Probabilities, Multivariate Analysis, Characterization, Algorithms, Quadratic and Bilinear Forms, Entropy, Reaction, Diffusion, Solar Neutrinos
JOURNAL NAME:
Creative Education,
Vol.11 No.3,
March
25,
2020
ABSTRACT: A brief history of the Centre for Mathematical and Statistical Sciences, Kerala, India, is given and an overview of Mathai’s research and education programs in the following topics is outlined: Fractional Calculus; Functions of Matrix Argument—M-transforms, M-convolutions; Krätzel integrals; Pathway Models; Geometrical Probabilities; Astrophysics—reaction rate theory, solar neutrinos; Special Functions—G and H-functions; Multivariate Analysis; Algorithms for Non-linear Least Squares; Characterizations—characterizations of densities, information measure, axiomatic definitions, pseudo analytic functions of matrix argument and characterization of the normal probability law; Mathai’s Entropy—entropy optimization; Analysis of Variance; Population Problems and Social Sciences; Quadratic and Bilinear Forms; Linear Algebra; Probability and Statistics.