Results 71 to 80 of about 1,331 (139)

Poly-Genocchi polynomials and its applications

AIMS Mathematics, 2021
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Chang Phang, Abdulnasir Isah, Yoke Teng Toh   +2 more
openaire   +3 more sources

Shifted Genocchi Polynomials Operational Matrix for Solving Fractional Order System

Eurasian Journal of Science and Engineering, 2021
Genocchi polynomials are known to be defined on the interval [0, 1], but to benefit from the advantages of this polynomials in the field of fractional differential equations (FDEs), it was realized that fractional derivatives of many functions with ...
Abdulnasir Isah, Salisu Ibrahim
doaj   +1 more source

Combinatorial proofs of some properties of tangent and Genocchi numbers

, 2018
The tangent number $T_{2n+1}$ is equal to the number of increasing labelled complete binary trees with $2n+1$ vertices. This combinatorial interpretation immediately proves that $T_{2n+1}$ is divisible by $2^n$.
Han, Guo-Niu, Liu, Jing-Yi
core   +2 more sources

A Note on Some Properties of the Weighted 𝑞-Genocchi Numbers and Polynomials

Journal of Applied Mathematics, 2011
We consider the weighted 𝑞-Genocchi numbers and polynomials. From the construction of the weighted 𝑞-Genocchi numbers and polynomials, we investigate many interesting identities and relations satisfied by these new numbers and polynomials.
L. C. Jang
doaj   +1 more source

Generalized Euler-Genocchi Polynomials and Lucas Numbers

, 2020
See the abstract in the attached pdf.
Frontczak, Robert, Tomovski, Živorad
openaire   +3 more sources

q-Chebyshev polynomials [PDF]

, 2012
In this overview paper a direct approach to q-Chebyshev polynomials and their elementary properties is given. Special emphasis is placed on analogies with the classical case.
Johann Cigler, Johann Cigler, See Profile   +2 more
core  

Derivatives of tangent function and tangent numbers

, 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, Boyadzhiev, Comtet, Daboul, Dominici, Feng Qi, Guo, Guo, Guo, Guo, Guo, Guo, Guo, Guo, Hoffman, Hoffman, Luo, Luo, Ma, Ma, Ma, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Remmert, Schwatt, Schwatt, Wei, Xu, Zhang   +37 more
core   +1 more source

Some Generalized Properties of Poly-Daehee Numbers and Polynomials Based on Apostol–Genocchi Polynomials

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 Apostol–Genocchi polynomials based on poly-Daehee ...
Talha Usman, Nabiullah Khan, Mohd Aman, Shrideh Al-Omari, Kamsing Nonlaopon, Junesang Choi   +5 more
doaj   +1 more source

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 α and weak weight β 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 ℤp

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 ℤp, we construct p-adic Genocchi numbers and polynomials of ...
Leechae Jang, Taekyun Kim
doaj   +1 more source