Open AccessDECOMPOSITION FORMULAS WITH OPERATORS H FOR SECOND-ORDER GAUSS HYPERGEOMETRIC SERIES OF FOUR VARIABLES
Author(s) -
Айнур Рыскан
Publication year - 2020
Publication title -
habaršy. fizika-matematika seriâsy
Language(s) - English
Resource type - Journals
ISSN - 1728-7901
DOI - 10.51889/2020-3.1728-7901.12
Subject(s) - generalized hypergeometric function , basic hypergeometric series , mathematics , hypergeometric function of a matrix argument , confluent hypergeometric function , hypergeometric identity , hypergeometric function , appell series , bilateral hypergeometric series , gauss , lauricella hypergeometric series , differential operator , pure mathematics , operator (biology) , hypergeometric distribution , mathematical analysis , algebra over a field , physics , biochemistry , chemistry , repressor , quantum mechanics , gene , transcription factor
In this paper decomposition formulas and operator identities for second-order Gauss hypergeometric series of four variables in products of simpler known hypergeometric functions were obtained. The Choi - Hasanov method is used, based on inverse pairs of symbolic operators H(a,c) and H(a,c) introduced in 2011 in the article of Junesang Choi, Anvar Hasanov «Applications of the operator H(a,c) to the Humbert double hypergeometric functions». The obtained expansion formulas for hypergeometric functions of four variables will allow us to study the properties of these functions. By means of these expansions we can investigate the solvability of some boundary value problems for partial differential equations.