Results 1 to 10 of about 1,743 (65)
q-Binomial Convolution and Transformations of q-Appell Polynomials [PDF]
Axioms, 2021 In this paper, binomial convolution in the frame of quantum calculus is studied for the set Aq of q-Appell sequences. It has been shown that the set Aq of q-Appell sequences forms an Abelian group under the operation of binomial convolution.
Alaa Mohammed Obad +3 more
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On the complex q-Appell polynomials [PDF]
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 2020 The purpose of this article is to generalize the ring of \(q\)-Appell polynomials to the complex case. The formulas for \(q\)-Appell polynomials thus appear again, with similar names, in a purely symmetric way.
Ernst, Thomas
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On the q-Lie group of q-Appell polynomial matrices and related factorizations
Special Matrices, 2018 In the spirit of our earlier paper [10] and Zhang and Wang [16],we introduce the matrix of multiplicative q-Appell polynomials of order M ∈ ℤ. This is the representation of the respective q-Appell polynomials in ke-ke basis.
Ernst Thomas
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Finding the q-Appell Convolution of Certain Polynomials Within the Context of Quantum Calculus
MathematicsThis article introduces the theory of three-variable q-truncated exponential Gould–Hopper-based Appell polynomials by employing a generating function approach that incorporates q-calculus functions.
Waseem Ahmad Khan +4 more
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Journal of Inequalities and ApplicationsIn this paper, we attempt to use the Dunkl analog to study the convergence properties of q-Phillips operators by using the q-Appell polynomials. By applying the new sequences of continuous functions ν s , q ( z ) = ( z − 1 2 [ s ] q ) ϱ $\nu _{s,q}(z ...
Md. Nasiruzzaman +4 more
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A Note on q-Fubini-Appell Polynomials and Related Properties
Journal of Function Spaces, 2021 The present article is aimed at introducing and investigating a new class of q-hybrid special polynomials, namely, q-Fubini-Appell polynomials. The generating functions, series representations, and certain other significant relations and identities of ...
Abdulghani Muhyi, Serkan Araci
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Some properties of generalized hypergeometric Appell polynomials [PDF]
, 2020 In this paper, we present a new real-valued Appell-type polynomial family $A_n^{(k)}(m,x), $ every member of which is expressed by mean of a generalized hypergeometric function.
Bedratyuk., L, Luno, N.
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q-Difference equations for the 2-iterated q-Appell and mixed type q-Appell polynomials [PDF]
Arabian Journal of Mathematics, 2018 En este artículo, los autores establecen las relaciones de recurrencia y las ecuaciones de diferencia q para los polinomios q-Appell de 2 iteraciones. También se derivan las relaciones de recurrencia y las ecuaciones de diferencia q para los polinomios q-Bernoulli de 2 iteraciones, los polinomios q-Euler y los polinomios q-Genocchi. También se presenta
H. M. Srivastava +2 more
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A Numerical Computation of Zeros of q-Generalized Tangent-Appell Polynomials
Mathematics, 2020 The intended objective of this study is to define and investigate a new class of q-generalized tangent-based Appell polynomials by combining the families of 2-variable q-generalized tangent polynomials and q-Appell polynomials. The investigation includes
Ghazala Yasmin +2 more
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Approximation of GBS Type q-Jakimovski-Leviatan-Beta Integral Operators in Bögel Space
Mathematics, 2022 In the present article, we introduce the bivariate variant of Beta integral type operators based on Appell polynomials via q-calculus. We study the local and global type approximation properties for these new operators.
Abdullah Alotaibi
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