\(q\)-extension of a multivariable and multiparameter generalization of the Gottlieb polynomials in several variables. (English) Zbl 1300.33008
The authors consider a basic and \(q\)-extension of a multivariate and multiparameter generalization of Gottlieb polynomials. For the \(q\)-Gottlieb polynomials, three new families of generating functions are derived.
Reviewer: Peter Massopust (München)
MSC:
| 33C20 | Generalized hypergeometric series, \({}_pF_q\) |
| 33C05 | Classical hypergeometric functions, \({}_2F_1\) |
| 33C65 | Appell, Horn and Lauricella functions |
| 33C99 | Hypergeometric functions |
Keywords:
generating and basic (-\(q\)) generating functions; generalized hypergeometric and \(q\)-hypergeometric functions; orthogonality on a finite or enumerable set of points; Gottlieb and \(q\)-Gottlieb polynomials; Jacobi and Meixner polynomials; Lauricella functions; \(q\)-binomial theorem; Ramanujan’s \({}_1\Psi_1\)-sum; Srivastava’s general basic and \(q\)-basic hypergeometric seriesReferences:
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