On the multidimensional zeta functions associated with theta functions, and the multidimensional Appell polynomials
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6075
Abstract: We define and study the multidimensional Appell polynomials associated with theta functions. For the trivial theta functions, we obtain the various well‐known Appell polynomials. Many other interesting examples are given. To push our study, by… read more here.
Keywords: zeta functions; appell polynomials; multidimensional appell; theta functions ... See more keywords
Dunkl-Gamma Type Operators Including Appell Polynomials
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DOI: 10.1007/s11785-019-00942-x
Abstract: The aim of the present paper is to introduce Dunkl-Gamma type operators in terms of Appell polynomials and to investigate approximating properties of these operators. read more here.
Keywords: type operators; dunkl gamma; operators including; gamma type ... See more keywords
Binomial convolution and transformations of Appell polynomials
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.06.077
Abstract: Abstract We show that the set A of Appell sequences is an abelian group under the binomial convolution. This is essentially equivalent to other approaches considered in the literature, in particular, the determinantal approach. We… read more here.
Keywords: binomial convolution; convolution transformations; convolution; appell polynomials ... See more keywords
Generalization of Szász–Mirakjan–Kantorovich operators using multiple Appell polynomials
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DOI: 10.1186/s13660-020-02423-8
Abstract: The purpose of the present paper is to introduce and study a sequence of positive linear operators defined on suitable spaces of measurable functions on [ 0 , ∞ ) $[0,\infty )$ and continuous function… read more here.
Keywords: generalization mirakjan; operators using; multiple appell; appell polynomials ... See more keywords
On another approach for a family of Appell polynomials
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DOI: 10.2298/fil1812155b
Abstract: The present study is devoted to some new formulas for a family of Appell polynomials. These formulas are expressed in terms of Bernoulli-Euler and Bernoulli-Genocchi polynomials. Moreover, other additive formulas and new combinatorial identities are… read more here.
Keywords: approach family; another approach; appell polynomials; family appell ... See more keywords
Some recurrence formulas for the q-Bernoulli and q-Euler polynomials
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DOI: 10.2298/fil2002663d
Abstract: The recurrence relations have a very important place for the special polynomials such as q-Appell polynomials. In this paper, we give some recurrence formulas that allow us a better understanding of q-Appell polynomials. We investigate… read more here.
Keywords: recurrence formulas; bernoulli euler; euler polynomials; formulas bernoulli ... See more keywords
Insights into New Generalization of q-Legendre-Based Appell Polynomials: Properties and Quasi Monomiality
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DOI: 10.3390/math13060955
Abstract: In this paper, by using the zeroth-order q-Tricomi functions, the theory of three-variable q-Legendre-based Appell polynomials is introduced. These polynomials are studied by means of generating functions, series expansions, and determinant representation. Further, by utilizing… read more here.
Keywords: three variable; legendre based; appell; variable legendre ... See more keywords
Construction of a Hybrid Class of Special Polynomials: Fubini–Bell-Based Appell Polynomials and Their Properties
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DOI: 10.3390/math13061009
Abstract: This paper aims to establish a new hybrid class of special polynomials, namely, the Fubini–Bell-based Appell polynomials. The monomiality principle is used to derive the generating function for these polynomials. Several related identities and properties,… read more here.
Keywords: fubini bell; based appell; bell based; appell polynomials ... See more keywords
Symbolic Methods Applied to a Class of Identities Involving Appell Polynomials and Stirling Numbers
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DOI: 10.3390/math13111732
Abstract: In this paper, we present two symbolic methods, in particular, the method starting from the source identity, umbra identity, for constructing identities of s-Appell polynomials related to Stirling numbers and binomial coefficients. We discuss some… read more here.
Keywords: class identities; methods applied; applied class; stirling numbers ... See more keywords
A New Generalization of mth-Order Laguerre-Based Appell Polynomials Associated with Two-Variable General Polynomials
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DOI: 10.3390/math13132179
Abstract: This paper presents a novel generalization of the mth-order Laguerre and Laguerre-based Appell polynomials and examines their fundamental properties. By establishing quasi-monomiality, we derive key results, including recurrence relations, multiplicative and derivative operators, and the… read more here.
Keywords: appell polynomials; laguerre; order laguerre; mth order ... See more keywords
A Generalization of Szasz Operators by Using the Appell Polynomials of Class A(2)
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DOI: 10.3390/sym14071410
Abstract: In this paper, as a generalization of Szasz operators, a brand-new sequence of operators including the Appell polynomials of class A2 is introduced. First, the convergence of this new sequence of operators is obtained, and… read more here.
Keywords: appell polynomials; szasz operators; polynomials class; generalization szasz ... See more keywords