The fractional kinetic equation and thermonuclear functions |
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Authors: | HJ Haubold AM Mathai |
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Institution: | (1) Outer Space Office, United Nations, Vienna International Centre, P.O. Box 500, 1400 Vienna, Austria;(2) Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, Quebec, Canada, H3A 2K6 |
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Abstract: | The paper discusses the solution of a simple kinetic equation of thetype used for the computation of the change of the chemical compositionin stars like the Sun. Starting from the standard form of the kineticequation it is generalized to a fractional kinetic equation and itssolutions in terms of H-functions are obtained. The role of thermonuclearfunctions, which are also represented in terms of G- and H-functions,in such a fractional kinetic equation is emphasized. Results containedin this paper are related to recent investigations of possibleastrophysical solutions of the solar neutrino problem. |
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