Open AccessA Generating Function for Certain Coefficients Involving Several Complex Variables
Author(s) -
H. M. Srivástava
Publication year - 1970
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.67.2.1079
Subject(s) - hypergeometric function , mathematics , generalized hypergeometric function , generating function , pure mathematics , function (biology) , class (philosophy) , hypergeometric distribution , basic hypergeometric series , polynomial , relation (database) , confluent hypergeometric function , hypergeometric function of a matrix argument , algebra over a field , combinatorics , mathematical analysis , computer science , database , evolutionary biology , artificial intelligence , biology
In an attempt to unify a number of generating functions for certain classes of generalized hypergeometric polynomials, Lagrange's expansion formula is applied to prove a generating relation for ann -dimensional polynomial with arbitrary coefficients. It is also shown how these coefficients can be specialized to obtain the generalized Lauricella function as a generating function for a class of generalized hypergeometric polynomials of several complex variables.