Results 11 to 20 of about 207 (144)
Approximation by Operators for the Sheffer–Appell Polynomials [PDF]
Symmetry, 2022 In this paper, we introduce a generalization of the Kantrovich–Stancu-type Szasz operator asymmetry with hybrid families of special polynomials. Additionally, we construct certain positive linear operators together with the Sheffer–Appell polynomial sequences and then obtain the properties of convergence and the order of convergence, which is symmetric
Mdi Begum Jeelani, Abeer S. Alnahdi
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Polynomials biorthogonal to Appell's polynomials [PDF]
Bulletin of the Australian Mathematical Society, 1974 We present the solution of a long-standing problem, namely, the determination of a set of polynomials in two independent variables which are biorthogonal over a triangular region to a set of polynomials previously introduced by Appell. Some elementary properties of our polynomials are investigated.
Fackerell, Edward D., Littler, R. A.
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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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New characterization of Appell polynomials [PDF]
Integral Transforms and Special Functions, 2016 We prove characterizations of Appell polynomials by means of symmetric property. For these polynomials, we establish a simple linear expression in terms of Bernoulli and Euler polynomials. As applications, we give interesting examples. In addition, from our study, we obtain Fourier expansions of Appell polynomials.
Bayad, Abdelmejid, Komatsu, Takao
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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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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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Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 In the present paper, a new efficient technique is described for solving nonlinear mixed partial integrodifferential equations with continuous kernels. Using the separation of variables, the nonlinear mixed partial integrodifferential equation is converted to a nonlinear Fredholm integral equation. Then, using different numerical methods, the Bernoulli
Abeer M. Al-Bugami +3 more
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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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Analysis Mathematica, 2019 We introduce polynomial sets of $(p,q)$-Appell type and give some of their characterizations. The algebraic properties of the set of all polynomial sequences of $(p,q)$-Appell type are studied. Next, we give a recurrence relation and a $(p,q)$-difference equation for those polynomials.
Ozarslan, Mehmet Ali, Yasar, Banu Yilmaz
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