Decomposition formulas associated with the multivariable confluent hypergeometric functions
Classical Analysis and ODEs
2018-08-03 v1 Analysis of PDEs
Abstract
The main object of this work is to show how some rather elementary techniques based upon certain inverse pairs of symbolic operators would lead us easily to several decomposition formulas associated with confluent hypergeometric functions of two and more variables. Many operator identities involving these pairs of symbolic operators are first constructed for this purpose. By means of these operator identities several decomposition formulas are found, which express the aforementioned hypergeometric functions in terms of such simpler functions as the products of the Gauss hypergeometric functions.
Cite
@article{arxiv.1808.00891,
title = {Decomposition formulas associated with the multivariable confluent hypergeometric functions},
author = {Tuhtasin Ergashev},
journal= {arXiv preprint arXiv:1808.00891},
year = {2018}
}
Comments
8 pages. arXiv admin note: text overlap with arXiv:0810.2632, arXiv:0810.3796, arXiv:1507.06150 by other authors