Special Functions and Pathways for Problems in Astrophysics: An Essay in Honor of A.M. Mathai

Haubold, Hans; Kumar, Dilip; Nair, Seema; Joseph, Dhannya

Fractional Calculus and Applied Analysis (2010)

  • Volume: 13, Issue: 2, page 133-158
  • ISSN: 1311-0454

Abstract

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The paper provides a review of A.M. Mathai's applications of the theory of special functions, particularly generalized hypergeometric functions, to problems in stellar physics and formation of structure in the Universe and to questions related to reaction, diffusion, and reaction-diffusion models. The essay also highlights Mathai's recent work on entropic, distributional, and differential pathways to basic concepts in statistical mechanics, making use of his earlier research results in information and statistical distribution theory. The results presented in the essay cover a period of time in Mathai's research from 1982 to 2008 and are all related to the thematic area of the gravitationally stabilized solar fusion reactor and fractional reaction-diffusion, taking into account concepts of non-extensive statistical mechanics. The time period referred to above coincides also with Mathai's exceptional contributions to the establishment and operation of the Centre for Mathematical Sciences, India, as well as the holding of the United Nations (UN)/European Space Agency (ESA)/National Aeronautics and Space Administration (NASA) of the United States/ Japanese Aerospace Exploration Agency (JAXA) Workshops on basic space science and the International Heliophysical Year 2007, around the world. Professor Mathai's contributions to the latter, since 1991, are a testimony for his social con-science applied to international scientific activity.

How to cite

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Haubold, Hans, et al. "Special Functions and Pathways for Problems in Astrophysics: An Essay in Honor of A.M. Mathai." Fractional Calculus and Applied Analysis 13.2 (2010): 133-158. <http://eudml.org/doc/219623>.

@article{Haubold2010,
abstract = {The paper provides a review of A.M. Mathai's applications of the theory of special functions, particularly generalized hypergeometric functions, to problems in stellar physics and formation of structure in the Universe and to questions related to reaction, diffusion, and reaction-diffusion models. The essay also highlights Mathai's recent work on entropic, distributional, and differential pathways to basic concepts in statistical mechanics, making use of his earlier research results in information and statistical distribution theory. The results presented in the essay cover a period of time in Mathai's research from 1982 to 2008 and are all related to the thematic area of the gravitationally stabilized solar fusion reactor and fractional reaction-diffusion, taking into account concepts of non-extensive statistical mechanics. The time period referred to above coincides also with Mathai's exceptional contributions to the establishment and operation of the Centre for Mathematical Sciences, India, as well as the holding of the United Nations (UN)/European Space Agency (ESA)/National Aeronautics and Space Administration (NASA) of the United States/ Japanese Aerospace Exploration Agency (JAXA) Workshops on basic space science and the International Heliophysical Year 2007, around the world. Professor Mathai's contributions to the latter, since 1991, are a testimony for his social con-science applied to international scientific activity.},
author = {Haubold, Hans, Kumar, Dilip, Nair, Seema, Joseph, Dhannya},
journal = {Fractional Calculus and Applied Analysis},
keywords = {Special Functions and Pathways; Integrals; Pathway Model; astrophysics},
language = {eng},
number = {2},
pages = {133-158},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Special Functions and Pathways for Problems in Astrophysics: An Essay in Honor of A.M. Mathai},
url = {http://eudml.org/doc/219623},
volume = {13},
year = {2010},
}

TY - JOUR
AU - Haubold, Hans
AU - Kumar, Dilip
AU - Nair, Seema
AU - Joseph, Dhannya
TI - Special Functions and Pathways for Problems in Astrophysics: An Essay in Honor of A.M. Mathai
JO - Fractional Calculus and Applied Analysis
PY - 2010
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 13
IS - 2
SP - 133
EP - 158
AB - The paper provides a review of A.M. Mathai's applications of the theory of special functions, particularly generalized hypergeometric functions, to problems in stellar physics and formation of structure in the Universe and to questions related to reaction, diffusion, and reaction-diffusion models. The essay also highlights Mathai's recent work on entropic, distributional, and differential pathways to basic concepts in statistical mechanics, making use of his earlier research results in information and statistical distribution theory. The results presented in the essay cover a period of time in Mathai's research from 1982 to 2008 and are all related to the thematic area of the gravitationally stabilized solar fusion reactor and fractional reaction-diffusion, taking into account concepts of non-extensive statistical mechanics. The time period referred to above coincides also with Mathai's exceptional contributions to the establishment and operation of the Centre for Mathematical Sciences, India, as well as the holding of the United Nations (UN)/European Space Agency (ESA)/National Aeronautics and Space Administration (NASA) of the United States/ Japanese Aerospace Exploration Agency (JAXA) Workshops on basic space science and the International Heliophysical Year 2007, around the world. Professor Mathai's contributions to the latter, since 1991, are a testimony for his social con-science applied to international scientific activity.
LA - eng
KW - Special Functions and Pathways; Integrals; Pathway Model; astrophysics
UR - http://eudml.org/doc/219623
ER -

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