Some Umbral Calculus Presentations of the Chan-Chyan-Srivastava Polynomials and the Erkuș-Srivastava Polynomials

In their recent investigation involving differential operators for the generalized Lagrange polynomials, Chan et. al. [3] encountered and proved a certain summation identity and several other results for the Lagrange polynomials in several variables, which are popularly known in the literature as th...

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Autores principales: Srivastava,H. M, Nisar,K. S, Khan,Mumtaz Ahmad
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2014
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172014000100006
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spelling oai:scielo:S0716-091720140001000062014-01-06Some Umbral Calculus Presentations of the Chan-Chyan-Srivastava Polynomials and the Erkuș-Srivastava PolynomialsSrivastava,H. MNisar,K. SKhan,Mumtaz Ahmad Lagrange polynomials Hermite-Kampe de Feriet polynomials Lagrange-Hermite polynomials Chan-Chyan-Srivastava polynomials Erkus-Srivastava polynomials Umbral calculus Pochhammer symbol Multinomial theorem and multinomial coefficients Principle of monoumbrality Monoumbral expansions In their recent investigation involving differential operators for the generalized Lagrange polynomials, Chan et. al. [3] encountered and proved a certain summation identity and several other results for the Lagrange polynomials in several variables, which are popularly known in the literature as the Chan-Chyan-Srivastava polynomials. These multivariable polynomials have been studied systematically and extensively in the literature ever since then (see, for example, [1], [4], [9], [11], [12] and [13]). In the present paper, we investigate umbral calculus presentations ofthe Chan-Chyan-Srivastava polynomials and also of their substantially more general form, the Erkus-Srivastava polynomials [9]. Some other closely-related results are also considered.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.33 n.1 20142014-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172014000100006en10.4067/S0716-09172014000100006
institution Scielo Chile
collection Scielo Chile
language English
topic Lagrange polynomials
Hermite-Kampe de Feriet polynomials
Lagrange-Hermite polynomials
Chan-Chyan-Srivastava polynomials
Erkus-Srivastava polynomials
Umbral calculus
Pochhammer symbol
Multinomial theorem and multinomial coefficients
Principle of monoumbrality
Monoumbral expansions
spellingShingle Lagrange polynomials
Hermite-Kampe de Feriet polynomials
Lagrange-Hermite polynomials
Chan-Chyan-Srivastava polynomials
Erkus-Srivastava polynomials
Umbral calculus
Pochhammer symbol
Multinomial theorem and multinomial coefficients
Principle of monoumbrality
Monoumbral expansions
Srivastava,H. M
Nisar,K. S
Khan,Mumtaz Ahmad
Some Umbral Calculus Presentations of the Chan-Chyan-Srivastava Polynomials and the Erkuș-Srivastava Polynomials
description In their recent investigation involving differential operators for the generalized Lagrange polynomials, Chan et. al. [3] encountered and proved a certain summation identity and several other results for the Lagrange polynomials in several variables, which are popularly known in the literature as the Chan-Chyan-Srivastava polynomials. These multivariable polynomials have been studied systematically and extensively in the literature ever since then (see, for example, [1], [4], [9], [11], [12] and [13]). In the present paper, we investigate umbral calculus presentations ofthe Chan-Chyan-Srivastava polynomials and also of their substantially more general form, the Erkus-Srivastava polynomials [9]. Some other closely-related results are also considered.
author Srivastava,H. M
Nisar,K. S
Khan,Mumtaz Ahmad
author_facet Srivastava,H. M
Nisar,K. S
Khan,Mumtaz Ahmad
author_sort Srivastava,H. M
title Some Umbral Calculus Presentations of the Chan-Chyan-Srivastava Polynomials and the Erkuș-Srivastava Polynomials
title_short Some Umbral Calculus Presentations of the Chan-Chyan-Srivastava Polynomials and the Erkuș-Srivastava Polynomials
title_full Some Umbral Calculus Presentations of the Chan-Chyan-Srivastava Polynomials and the Erkuș-Srivastava Polynomials
title_fullStr Some Umbral Calculus Presentations of the Chan-Chyan-Srivastava Polynomials and the Erkuș-Srivastava Polynomials
title_full_unstemmed Some Umbral Calculus Presentations of the Chan-Chyan-Srivastava Polynomials and the Erkuș-Srivastava Polynomials
title_sort some umbral calculus presentations of the chan-chyan-srivastava polynomials and the erkuș-srivastava polynomials
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2014
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172014000100006
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