On fractional \(q\)-integral operator involving the basic multiple hypergeometric functions. (English) Zbl 1247.33033
Summary: This paper envisages evaluating a fractional \(q\)-integral \(L\)-operator involving the basic multiple hypergeometric functions. The \(L\)-operator involving the basic Lauricella functions, basic Kampé de Fériet function, basic Appell functions, basic Horn’s functions and Appell confluent hypergeometric functions have been investigated as special cases.
MSC:
| 33D70 | Other basic hypergeometric functions and integrals in several variables |
| 33D60 | Basic hypergeometric integrals and functions defined by them |
