Results 1 to 10 of about 67 (67)
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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q-Binomial Convolution and Transformations of q-Appell Polynomials
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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Parameter and q asymptotics of Lq‐norms of hypergeometric orthogonal polynomials
International Journal of Quantum Chemistry, Volume 123, Issue 2, January 15, 2023., 2023 The weighted Lq‐norms of orthogonal polynomials are determined when q and the polynomial's parameter tend to infinity. They are given in this work by the leading term of the q and parameter asymptotics of the corresponding quantities of the associated probability density. These results are not only interesting per se, but also because they control many
Nahual Sobrino, Jesus S. Dehesa
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On Degenerate Poly‐Daehee Polynomials Arising from Lambda‐Umbral Calculus
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this article, we derived various identities between the degenerate poly‐Daehee polynomials and some special polynomials by using λ‐umbral calculus by finding the coefficients when expressing degenerate poly‐Daehee polynomials as a linear combination of degenerate Bernoulli polynomials, degenerate Euler polynomials, degenerate Bernoulli polynomials ...
Sang Jo Yun, Jin-Woo Park, M. M. Bhatti
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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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Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 The Genocchi polynomial has been increasingly used as a convenient tool to solve some fractional calculus problems, due to their nice properties. However, like some other members in the Appell polynomials, the nice properties are always limited to the interval defined in [0, 1].
Jian Rong Loh +3 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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Fock and Hardy spaces: Clifford Appell case
Mathematische Nachrichten, Volume 295, Issue 5, Page 834-860, May 2022., 2022 Abstract In this paper, we study a specific system of Clifford–Appell polynomials and, in particular, their product. Moreover, we introduce a new family of quaternionic reproducing kernel Hilbert spaces in the framework of Fueter regular functions.
Daniel Alpay, Kamal Diki, Irene Sabadini
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q-Calculus as operational algebra; pp. 73–97 [PDF]
Proceedings of the Estonian Academy of Sciences, 2009 This second paper on operational calculus is a continuation of Ernst, T. q-Analogues of some operational formulas. Algebras Groups Geom., 2006, 23(4), 354â374. We find multiple q-analogues of formulas in Carlitz, L.
Thomas Ernst
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Identities of Degenerate Poly‐Changhee Polynomials Arising from λ‐Sheffer Sequences
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In the 1970s, Gian‐Carlo Rota constructed the umbral calculus for investigating the properties of special functions, and by Kim‐Kim, umbral calculus is generalized called λ‐umbral calculus. In this paper, we find some important relationships between degenerate Changhee polynomials and some important special polynomials by expressing the Changhee ...
Sang Jo Yun +2 more
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