Results 71 to 80 of about 1,211 (149)

Construction of the type 2 poly-Frobenius–Genocchi polynomials with their certain applications

Advances in Difference Equations, 2020
Kim and Kim (Russ. J. Math. Phys. 26(1):40–49, 2019) have studied the type 2 poly-Bernoulli polynomials. Inspired by their work, we consider a new class of the Frobenius–Genocchi polynomials, which is called the type 2 poly-Frobenius–Genocchi polynomials,
Ugur Duran, Mehmet Acikgoz, Serkan Araci
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A new family of Apostol–Genocchi polynomials associated with their certain identities

Applied Mathematics in Science and Engineering, 2023
In this paper, we provide a generating function for mix type Apostol–Genocchi polynomials of order η associated with Bell polynomials. We also derive certain important identities of Apostol Genocchi polynomials of order η based on Bell polynomials, such ...
Nabiullah Khan, Saddam Husain, Talha Usman, Serkan Araci   +3 more
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A Family of Generalized Legendre-Based Apostol-Type Polynomials

Axioms, 2022
Numerous polynomials, their extensions, and variations have been thoroughly explored, owing to their potential applications in a wide variety of research fields.
Talha Usman, Nabiullah Khan, Mohd Aman, Junesang Choi   +3 more
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Euler tangent numbers modulo 720 and Genocchi numbers modulo 45

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dzhumadil'daev, Askar, Jumadildayev, Medet   +1 more
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-Genocchi Numbers and Polynomials Associated with -Genocchi-Type -Functions

Advances in Difference Equations, 2008
The main purpose of this paper is to study on generating functions of the -Genocchi numbers and polynomials. We prove new relation for the generalized -Genocchi numbers which is related to the -Genocchi numbers and -Bernoulli numbers.
Cangul IsmailNaci, Kim Daeyeoul, Simsek Yilmaz, Kurt Veli   +3 more
doaj  

q-Euler and Genocchi numbers

, 2005
Carlitz has introduced an interesting $q$-analogue of Frobenius-Euler numbers in [4]. He has indicated a corresponding Stadudt-Clausen theorem and also some interesting congruence properties of the $q$-Euler numbers. In this paper we give another construction of $q$-Euler numbers, which are different than his $q$-Euler numbers.
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The $r$-Stirling Genocchi Numbers

European Journal of Pure and Applied Mathematics
This paper introduces the \( r \)-Stirling Genocchi numbers, a new sequence derived by combining Broder's \( r \)-Stirling numbers with the classical Genocchi numbers, which are closely related to Bernoulli numbers and have notable applications in algebraic combinatorics. While the original \( r \)-Stirling numbers were developed using combinatorial
Vernard Dechosa, Roberto Bagsarsa Corcino   +1 more
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New identities involving Bernoulli, Euler and Genocchi numbers [PDF]

Advances in Difference Equations, 2013
Abstract Using p-adic integral, many new convolution identities involving Bernoulli, Euler and Genocchi numbers are given. MSC:11B68, 11S80.
Hu, S Hu, Su, Kim, D Kim, Daeyeoul, Kim, MS Kim, Min-Soo   +2 more
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Asymptotic Approximations of Apostol-Genocchi Numbers and Polynomials

European Journal of Pure and Applied Mathematics, 2021
Asymptotic approximations of the Apostol-Genocchi numbers andpolynomials are derived using Fourier series and ordering of poles ofthe generating function. Asymptotic formulas for the Apostol-Eulernumbers and polynomials are obtained as consequence.
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Terrain-like graphs and the median Genocchi numbers

European Journal of Combinatorics
A graph with vertex set $\{1,\ldots,n\}$ is terrain-like if, for any edge pair $\{a,c\},\{b,d\}$ with ...
Froese, Vincent, Renken, Malte
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