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Symbolic computation of Appell polynomials using Maple
, 2001 This work focuses on the symbolic computation of Appell polynomials using the computer algebra system Maple. After describing the traditional approach of constructing Appell polynomials, the paper examines the operator method of constructing the same ...
A. Jalbout +3 more
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A Study on q-Appell Polynomials From Determinantal Point of View [PDF]
Applied Mathematics and Computation, 2015 This research is aimed to give a determinantal definition for the $q$-Appell polynomials and show some classical properties as well as find some interesting properties of the mentioned polynomials in the light of the new definition.
Nazim Mahmudov
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Certain Results of q -Sheffer–Appell Polynomials
Symmetry, 2019 In this paper, the class of q-Sheffer-Appell polynomials is introduced. The generating function, series definition, determinant definition and some other identities of this class are established.
Serkan Araci +2 more
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Annali di Matematica Pura ed Applicata, 1967
A study of various properties of those sets of polynomials which satisfy(1.2) below is made.
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A study of various properties of those sets of polynomials which satisfy(1.2) below is made.
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Approximation by q-analogue of Jakimovski–Leviatan operators involving q-Appell polynomials
Iranian Journal of Science and Technology, Transactions A: Science, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mursaleen, M. +2 more
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Two-Variable q-General-Appell Polynomials Within the Context of the Monomiality Principle
MathematicsIn this study, we consider the two-variable q -general polynomials and derive some properties. By using these polynomials, we introduce and study the theory of two-variable q -general Appell polynomials (2V q gAP) using q -operators. The effective use of
Cheon-Seoung Ryoo +2 more
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Pseudo-q-Appell Polynomials and Various Kinds of q-Stirling Numbers
AIP Conference Proceedings, 2010In previous articles [4], [6] we have introduced q‐Appell polynomials of various kinds. In this talk we will present pseudo q‐Appell polynomials for the first time. It turns out that the associated q‐Bernoulli numbers are the same as the BJHC,ν,q (a kind of q‐Appell numbers).
Thomas Ernst +3 more
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Some characterizations of appell andℊ-appell polynomials
Annali di Matematica Pura ed Applicata, 1982Several characterizations are given for the wellknown Appell polynomials and for their basic analogues: the ℊ-Appell polynomials defined by Equation (3.3)below. The main results contained in Theorems 1, 2and 3of the present paper, and the applications considered in Section 2,are believed to be new.
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Integro-difference equations and umbral study for q-Appell-Hermite polynomials
Journal of Mathematical Analysis and ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Parametric Approximation Results of Phillips Operators Involving the q-Appell Polynomials
Iranian Journal of Science and Technology, Transactions A: Science, 2021Md. Nasiruzzaman +2 more
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