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Formulas for p-adic q-integrals including falling-rising factorials, combinatorial sums and special numbers

, 2017
The main purpose of this paper is to provide a novel approach to deriving formulas for the p-adic q-integral including the Volkenborn integral and the p-adic fermionic integral.
Simsek, Yilmaz
core  

Approximation by Sz醩z Type Operators Involving Apostol-Genocchi Polynomials [PDF]

Computer Modeling in Engineering & Sciences, 2022
openaire   +1 more source

Alternating Euler sums at the negative integers

, 2008
We study three special Dirichlet series, two of them alternating, related to the Riemann zeta function. These series are shown to have extensions to the entire complex plane and we find their values at the negative integers (or residues at poles).
Boyadzhiev, Khristo N., Gadiyar, H. Gopalkrishna, Padma, R.   +2 more
core  

Combinatorial identities associated with new families of the numbers and polynomials and their approximation values

, 2017
Recently, the numbers $Y_{n}(\lambda )$ and the polynomials $Y_{n}(x,\lambda)$ have been introduced by the second author [22]. The purpose of this paper is to construct higher-order of these numbers and polynomials with their generating functions.
Kucukoglu, Irem, Simsek, Yilmaz
core  

A new generalization of Apostol type Hermite-Genocchi polynomials and its applications. [PDF]

Springerplus, 2016
Araci S, Khan WA, Acikgoz M, Özel C, Kumam P.   +4 more
europepmc   +1 more source

Extensions of the Genocchi polynomials and their Fourier expansions and integral representations [PDF]

, 2011
Luo, Qiu-Ming
core   +2 more sources

On the Distribution of the -Euler Polynomials and the -Genocchi Polynomials of Higher Order [PDF]

, 2008

core   +1 more source

Unification of the Bernstein-type polynomials and their applications [PDF]

, 2013
Yilmaz Simsek
core   +1 more source

Generating function for -Eulerian polynomials and their decomposition and applications [PDF]

core   +1 more source

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Approximation by a new sequence of operators involving Apostol-Genocchi polynomials

Mathematica Slovaca, 2021
Abstract The main objective of this paper is to construct a new sequence of operators involving Apostol-Genocchi polynomials based on certain parameters. We investigate the rate of convergence of the operators given in this paper using second-order modulus of continuity and Voronovskaja type approximation theorem.
Prakash, Chandra, Verma, Durvesh Kumar, Deo, Naokant   +2 more
openaire   +1 more source