On a multivariable extension of the Lagrange–Hermite polynomials

DOI10.1080/10652460500432006zbMath1095.33003OpenAlexW2041758276MaRDI QIDQ5478724

Esra Erku, Abduhllah Altin

Publication date: 13 July 2006

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460500432006

zbMATH Keywords

Lagrange polynomialsGenerating functionsPochhammer symbolChan-Chyan-Srivastava multivariable polynomialsLagrange-Hermite polynomialsaddition formula, (differential) recurrence relation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (16)

On Generalized Lagrange-Based Apostol-type and Related Polynomials ⋮ Bilateral generating functions for the Chan–Chyan–Srivastava polynomials and the generalized Lauricella functions ⋮ Statistical approximation for new positive linear operators of Lagrange type ⋮ A new family of two-variable polynomials based on Hermite polynomials ⋮ Miscellaneous properties of some multivariable polynomials ⋮ Bilateral generating functions for the Erkuş-Srivastava polynomials and the generalized Lauricella functions ⋮ Characterization of deferred type statistical convergence andP‐summability method for operators: Applications toq‐Lagrange–Hermite operator ⋮ On a multivariable extension of the Humbert polynomials ⋮ Some New Generating Functions for the Modified Laguerre Polynomials ⋮ Some approximation results for generalized Kantorovich-type operators ⋮ Summation identities involving certain classes of polynomials ⋮ Harmonic functions associated with some polynomials in several variables ⋮ Some new properties of generalized Bessel polynomials ⋮ Chan–Chyan–Srivastava multivariable polynomials associated with a certain family of partial differential operators ⋮ Unnamed Item ⋮ On a family of multivariable polynomials defined through Rodrigues type formula

Cites Work

• Unnamed Item
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• Some generalizations of Carlitz's theorem
• The lagrange polynomials in several variables
• The Lagrange Polynomials, the Associated Generalizations, and the Umbral Calculus

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