\(q\)-extension of a multivariable and multiparameter generalization of the Gottlieb polynomials in several variables

DOI10.3836/tjm/1406552433zbMath1300.33008OpenAlexW2058094714MaRDI QIDQ743670

Junesang Choi, Hari M. Srivastava

Publication date: 30 September 2014

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tjm/1406552433

zbMATH Keywords

\(q\)-binomial theoremLauricella functionsgeneralized hypergeometric and \(q\)-hypergeometric functionsgenerating and basic (-\(q\)) generating functionsGottlieb and \(q\)-Gottlieb polynomialsJacobi and Meixner polynomialsorthogonality on a finite or enumerable set of pointsRamanujan's \({}_1\Psi_1\)-sumSrivastava's general basic and \(q\)-basic hypergeometric series

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Appell, Horn and Lauricella functions (33C65) Hypergeometric functions (33C99)

Related Items (7)

Approximation by \(q\)-analogue of modified Jakimovski-Leviatan-Stancu type operators ⋮ Dunkl generalization of Kantorovich type Szász–Mirakjan operators via q-calculus ⋮ Statistical approximation properties of modified Durrmeyer q-Baskakov type operators with two parameters α and β ⋮ Approximation of Modified Jakimovski-Leviatan-Beta Type Operators ⋮ On q-series and continued fractions ⋮ On the construction of q-analogues for some positive linear operators ⋮ Certain derived WP-bailey pairs and transformation formulas for q-hypergeometric series

Cites Work

• A generalization of Gottlieb polynomials in several variables
• q-EXTENSION OF A GENERALIZATION OF GOTTLIEB POLYNOMIALS IN THREE VARIABLES
• A NOTE ON GENERATING FUNCTIONS OF q-GOTTLIEB POLYNOMIALS
• Certain q-Polynomial Expansions for Functions of Several Variables. II
• Certain q-Polynomial Expansions for Functions of Several Variables
• Orthogonale Polynomsysteme Mit Einer Besonderen Gestalt Der Erzeugenden Funktion
• NOTES ON FORMAL MANIPULATIONS OF DOUBLE SERIES
• Concerning Some Polynomials Orthogonal on a Finite or Enumerable Set of Points
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