• Fractional \(q\)-differentiati...

Result: Fractional \(q\)-differentiation and basic hypergeometric functions of two variables

Title:
Fractional \(q\)-differentiation and basic hypergeometric functions of two variables
Authors:
Saxena, R. K., Kumar, Rajendra
Publisher Information:
Romanian Mathematical Society (Societatea de Științe Matematice din România), Bucharest; University of Bucharest (Universitatea din București), Bucharest
Subject Terms:
Fractional derivatives and integrals, fractional basic differentiation, basic Appell functions, Basic hypergeometric integrals and functions defined by them
Document Type:
Academic journal Article
File Description:
application/xml
Access URL:
https://zbmath.org/769141
Accession Number:
edsair.c2b0b933574d..9d6ca83609915322b631d6f8eb85e8fb
Database:
OpenAIRE

Further Information

Basic integral representations of generalized \(q\)-hypergeometric functions of two variables are discussed from the point of view of fractional basic differentiation. A number of new results are given which, after appropriate specialization, give \(q\)-analogues of integral representations of basic Appell functions.