Results 71 to 80 of about 1,314 (145)
A Note on Some Properties of the Weighted š¯‘˛-Genocchi Numbers and Polynomials
Journal of Applied Mathematics, 2011 We consider the weighted š¯‘˛-Genocchi numbers and polynomials. From the construction of the weighted š¯‘˛-Genocchi numbers and polynomials, we investigate many interesting identities and relations satisfied by these new numbers and polynomials.
L. C. Jang
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Properties of Multivariable Hermite Polynomials in Correlation with Frobeniusā€“Genocchi Polynomials
Mathematics, 2023 The evolution of a physical system occurs through a set of variables, and the problems can be treated based on an approach employing multivariable Hermite polynomials. These polynomials possess beneficial properties exhibited in functional and differential equations, recurring and explicit relations as well as symmetric identities, and summation ...
Shahid Ahmad Wani +3 more
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On Two Bivariate Kinds of Poly-Bernoulli and Poly-Genocchi Polynomials
Mathematics, 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
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Mathematics, 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 Apostolā€“Genocchi polynomials based on poly-Daehee ...
Talha Usman +5 more
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HIGHER ORDER GENOCCHI, EULER POLYNOMIALS ASSOCIATED WITH q-BERNSTEIN TYPE POLYNOMIALS [PDF]
Honam Mathematical Journal, 2011 The main aim of this paper is to give some relationships between q-Bernstein, higher order genocchi and Euler polynomials.
Serkan Arac, Dilek Erdal
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Hermite polynomials related to Genocchi, Euler and Bernstein polynomials
, 2012 The objective of this paper is to derive some interesting properties of Genocchi, Euler and Bernstein polynomials by means of the orthogonality of Hermite polynomials.
Araci, Serkan +2 more
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Some Properties of Multiple Generalized q-Genocchi Polynomials with Weight and Weak Weight
International 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 Ī± and weak weight Ī² by applying the method of p-adic q-integral.
J. Y. Kang
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An elliptic extension of the Genocchi polynomials
Filomat, 2016 We define an elliptic extension of the Genocchi polynomials and obtain the sums of products for the elliptic Genocchi polynomials. The formulas of sums of products for the Genocchi polynomials are also derived.
Ji-Ke Ge, Qiu-Ming Luo
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q-Genocchi Numbers and Polynomials Associated with Fermionic p-Adic Invariant Integrals on ā„¤p
Abstract 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 ā„¤p, we construct p-adic Genocchi numbers and polynomials of ...
Leechae Jang, Taekyun Kim
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Abstract and Applied Analysis, 2011 We consider weighted š¯‘˛-Genocchi numbers and polynomials. We investigated some interesting properties of the weighted š¯‘˛-Genocchi numbers related to weighted š¯‘˛-Bernstein polynomials by using fermionic š¯‘¯-adic integrals on ā„¤š¯‘¯.
Serkan Araci, Dilek Erdal, Jong Jin Seo
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