Geodesic
Special Functions and Pathways for Problems in Astrophysics: An Essay in Honor of A.M. Mathai
Fractional calculus and applied analysis, Tome 13 (2010) no. 2, pp. 133-158 Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library

Voir la notice de l'article

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.
Keywords: Special Functions and Pathways, Integrals, Pathway Model 
@article{FCAA_2010_13_2_a1,
     author = {Haubold, Hans and Kumar, Dilip and Nair, Seema and Joseph, Dhannya},
     title = {Special {Functions} and {Pathways} for {Problems} in {Astrophysics:} {An} {Essay} in {Honor} of {A.M.} {Mathai}},
     journal = {Fractional calculus and applied analysis},
     pages = {133--158},
     year = {2010},
     volume = {13},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/FCAA_2010_13_2_a1/}
}
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
SP  - 133
EP  - 158
VL  - 13
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/FCAA_2010_13_2_a1/
LA  - en
ID  - FCAA_2010_13_2_a1
ER  - 
%0 Journal Article
%A Haubold, Hans
%A Kumar, Dilip
%A Nair, Seema
%A Joseph, Dhannya
%T Special Functions and Pathways for Problems in Astrophysics: An Essay in Honor of A.M. Mathai
%J Fractional calculus and applied analysis
%D 2010
%P 133-158
%V 13
%N 2
%U http://geodesic.mathdoc.fr/item/FCAA_2010_13_2_a1/
%G en
%F FCAA_2010_13_2_a1
Haubold, Hans; Kumar, Dilip; Nair, Seema; Joseph, Dhannya. Special Functions and Pathways for Problems in Astrophysics: An Essay in Honor of A.M. Mathai. Fractional calculus and applied analysis, Tome 13 (2010) no. 2, pp. 133-158. http://geodesic.mathdoc.fr/item/FCAA_2010_13_2_a1/