Results 61 to 70 of about 1,211 (149)

Calculating Zeros of the -Genocchi Polynomials Associated with -Adic -Integral on

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
In this paper we construct the new analogues of Genocchi the numbers and polynomials. We also observe the behavior of complex roots of the -Genocchi polynomials , using numerical investigation.
C. S. Ryoo
doaj   +1 more source

SYMMETRIC IDENTITIES FOR DEGENERATE q-POLY-GENOCCHI NUMBERS AND POLYNOMIALS

open access: yesSouth East Asian J. of Mathematics and Mathematical Sciences, 2023
In the present article, we introduce a new class of degenerate q-poly- Genocchi polynomials and numbers including q-logarithm function. We derive some relations with this polynomials and the Stirling numbers of the second kind and investigate some symmetric identities using special functions that are involving these ...
Nadeem, Mohd, Khan, Waseem Ahmad
openaire   +2 more sources

Some Identities on the ๐‘ž-Genocchi Polynomials of Higher-Order and ๐‘ž-Stirling Numbers by the Fermionic ๐‘-Adic Integral on โ„ค๐‘

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2010
A systemic study of some families of ๐‘ž-Genocchi numbers and families of polynomials of Nรถrlund type is presented by using the multivariate fermionic ๐‘-adic integral on โ„ค๐‘.
Seog-Hoon Rim   +3 more
doaj   +1 more source

On Two Bivariate Kinds of Poly-Bernoulli and Poly-Genocchi Polynomials

open access: yesMathematics, 2020
In this paper, we introduce two bivariate kinds of poly-Bernoulli and poly-Genocchi polynomials and study their basic properties. Finally, we consider some relationships for Stirling numbers of the second kind related to bivariate kinds of poly-Bernoulli
Cheon Seoung Ryoo, Waseem A. Khan
doaj   +1 more source

Some Generalized Properties of Poly-Daehee Numbers and Polynomials Based on Apostolโ€“Genocchi Polynomials

open access: yesMathematics, 2022
Numerous polynomial variations and their extensions have been explored extensively and found applications in a variety of research fields. The purpose of this research is to establish a unified class of Apostolโ€“Genocchi polynomials based on poly-Daehee ...
Talha Usman   +5 more
doaj   +1 more source

Boolean complexes for Ferrers graphs [PDF]

open access: yes, 2010
In this paper we provide an explicit formula for calculating the boolean number of a Ferrers graph. By previous work of the last two authors, this determines the homotopy type of the boolean complex of the graph. Specializing to staircase shapes, we show
Claesson, Anders   +3 more
core   +2 more sources

A Study on the Fermionic ๐‘-Adic ๐‘ž-Integral Representation on โ„ค๐‘ Associated with Weighted ๐‘ž-Bernstein and ๐‘ž-Genocchi Polynomials

open access: yesAbstract and Applied Analysis, 2011
We consider weighted ๐‘ž-Genocchi numbers and polynomials. We investigated some interesting properties of the weighted ๐‘ž-Genocchi numbers related to weighted ๐‘ž-Bernstein polynomials by using fermionic ๐‘-adic integrals on โ„ค๐‘.
Serkan Araci, Dilek Erdal, Jong Jin Seo
doaj   +1 more source

Derivatives of tangent function and tangent numbers

open access: yes, 2015
In the paper, by induction, the Fa\`a di Bruno formula, and some techniques in the theory of complex functions, the author finds explicit formulas for higher order derivatives of the tangent and cotangent functions as well as powers of the sine and ...
Bourbaki   +37 more
core   +1 more source

Some Properties of Multiple Generalized q-Genocchi Polynomials with Weight and Weak Weight

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
The present paper deals with the various q-Genocchi numbers and polynomials. We define a new type of multiple generalized q-Genocchi numbers and polynomials with weight ฮฑ and weak weight ฮฒ by applying the method of p-adic q-integral.
J. Y. Kang
doaj   +1 more source

q-Genocchi Numbers and Polynomials Associated with Fermionic p-Adic Invariant Integrals on โ„คp

open access: yesAbstract and Applied Analysis, 2008
The main purpose of this paper is to present a systemic study of some families of multiple Genocchi numbers and polynomials. In particular, by using the fermionic p-adic invariant integral on โ„คp, we construct p-adic Genocchi numbers and polynomials of ...
Leechae Jang, Taekyun Kim
doaj   +1 more source

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