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On the multidimensional zeta functions associated with theta functions, and the multidimensional Appell polynomials

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0 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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0 Published in 2019 at "Complex Analysis and Operator Theory"

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

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0 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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0 Published in 2020 at "Journal of Inequalities and Applications"

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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1 Published in 2018 at "Filomat"

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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1 Published in 2020 at "Filomat"

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

A Generalization of Szasz Operators by Using the Appell Polynomials of Class A(2)

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2 Published in 2022 at "Symmetry"

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

Approximation by Operators for the Sheffer-Appell Polynomials

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1 Published in 2022 at "Symmetry"

DOI: 10.3390/sym14122672

Abstract: 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… read more here.

Keywords: appell polynomials; operators sheffer; sheffer appell; approximation operators ... See more keywords

Jakimovski-Leviatan operators of Durrmeyer type involving Appell polynomials

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0 Published in 2018 at "Turkish Journal of Mathematics"

DOI: 10.3906/mat-1708-6

Abstract: The purpose of the present paper is to establish the rate of convergence for a Lipschitz-type space and obtain the degree of approximation in terms of Lipschitz-type maximal function for the Durrmeyer type modification of… read more here.

Keywords: durrmeyer type; leviatan operators; jakimovski leviatan; type ... See more keywords