Decomposition formulas associated with the Lauricella multivariable hypergeometric functions (original) (raw)

Decomposition formulas for B H -hypergeometric functions of three variables

In this paper we investigate several decomposition formulas associated with hypergeometric functions B H in three variables. Many operator identities involving these pairs of symbolic operators are first constructed for this purpose. By means of these operator identities, as many as 5 decomposition formulas are then found, which express the aforementioned triple hypergeometric functions in terms of such simpler functions as the products of the Gauss and Appell's hypergeometric functions.

Decompositions for hypergeometric function HA,HB,HCH_A, H_B,H_CHA,HB,HC

arXiv: Analysis of PDEs, 2015

With the help of some techniques based on certain inverse pairs of symbolic operators, the authors investigated several decomposition formulas associated with Srivastava's Hypergeometric functions of three variables. Some operator identities have been constructed in this matter. With the help these operator forms 15 decompositions are found which are expressed through product of Hypergeometric Gauss and Appell's functions.

Decomposition formulas for some quadruple hypergeometric series

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2020

In the present work, the authors obtained operator identities and decomposition formulas for second order Gauss hypergeometric series of four variables into products containing simpler hypergeometric functions. A Choi–Hasanov method based on the inverse pairs of symbolic operators is used. The obtained expansion formulas for the hypergeometric functions of four variables will allow us to study the properties of these functions. These decompositions are used to study the solvability of boundary value problems for degenerate multidimensional partial differential equations.