A \(q\)-analogue of Appell's \(F_ 1\) function, its integral representation and transformations
An extension of Askey and Wilson's \(q\)-beta integral is evaluated as a sum of two double series. The formula is then used to find a \(q\)-analogue of Appell's \(F_ 1\) function via its integral representation as well as \(q\)- analogues of transformations of \(F_ 1\) to another \(F_ 1\) and \(F_ 3\) functions.
scientific article; zbMATH DE number 4040309
scientific article