Results 11 to 20 of about 112,843 (166)
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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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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A determinantal approach to Appell polynomials [PDF]
Journal of Computational and Applied Mathematics, 2010 Families of Appell polynomials \((A_n(x))_{n\geq 0}\) satisfy \(\frac{\mathrm{d} A_n(x)}{\mathrm{d} x}=n A_{n-1}(x)\) for \(n\geq 1\). In the present paper a way is presented to express Appell polynomials as certain determinants. From this representation (and by using some linear algebra) the authors get several general properties of Appell polynomials
Costabile, F.A., Longo, E.
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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. Since these complex \(q\)-Appell polynomials are also \(q\)-complex analytic functions, we are able to give a first example of the \(q\)-Cauchy-
Ernst, Thomas
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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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Symbolic computation of Appell polynomials using Maple
Electronic Journal of Differential Equations, 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 ...
H. Alkahby +3 more
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On Appell-Laguerre polynomials [PDF]
Journal of Computational and Applied Mathematics, 1993 The author considers so-called Appell-Laguerre polynomials, given explicitly by \[ Q_ n(x;k)=c_ n \sum_{j=0}^ n{(-n)_ j x^ j\over (\alpha+k+1-n)_ j j!} \quad (k,n \in {\mathcal N}). \] He gives a generating function and facts about the simplicity and location of the zeros; for the proofs the author refers to his paper Rodrigues' formula revisited ...
Belmehdi, S.
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On (self-) reciprocal Appell polynomials: Symmetry and Faulhaber-type polynomials [PDF]
, 2021 17 pages, final revised ...
Kellner, Bernd C.
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A New Family of Appell-Type Changhee Polynomials with Geometric Applications
AxiomsRecently, Appell-type polynomials have been investigated and applied in several ways. In this paper, we consider a new extension of Appell-type Changhee polynomials.
Rashad A. Al-Jawfi +2 more
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Truncated-Exponential-Based General-Appell Polynomials
MathematicsIn this paper, a new and general form of truncated-exponential-based general-Appell polynomials is introduced using the two-variable general-Appell polynomials.
Zeynep Özat +3 more
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