$q$-Extension of a Multivariable and Multiparameter Generalization of the Gottlieb Polynomials in Several Variables
Copyright policy )$q$-Extension of a Multivariable and Multiparameter Generalization of the Gottlieb Polynomials in Several Variables
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.
Generalized hypergeometric series, \({}_pF_q\), generalized hypergeometric and \(q\)-hypergeometric functions, Gottlieb and \(q\)-Gottlieb polynomials, Ramanujan's \({}_1\Psi_1\)-sum, 33C05, 33C65, 33C20, Hypergeometric functions, generating and basic (-\(q\)) generating functions, 33C99, Lauricella functions, Srivastava's general basic and \(q\)-basic hypergeometric series, Classical hypergeometric functions, \({}_2F_1\), orthogonality on a finite or enumerable set of points, Appell, Horn and Lauricella functions, Jacobi and Meixner polynomials, \(q\)-binomial theorem
Generalized hypergeometric series, \({}_pF_q\), generalized hypergeometric and \(q\)-hypergeometric functions, Gottlieb and \(q\)-Gottlieb polynomials, Ramanujan's \({}_1\Psi_1\)-sum, 33C05, 33C65, 33C20, Hypergeometric functions, generating and basic (-\(q\)) generating functions, 33C99, Lauricella functions, Srivastava's general basic and \(q\)-basic hypergeometric series, Classical hypergeometric functions, \({}_2F_1\), orthogonality on a finite or enumerable set of points, Appell, Horn and Lauricella functions, Jacobi and Meixner polynomials, \(q\)-binomial theorem
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