Results 81 to 90 of about 1,331 (139)
On Multiple Generalizedw‐Genocchi Polynomials and Their Applications [PDF]
We define the multiple generalizedw‐Genocchi polynomials. By using fermionicp‐adic invariant integrals, we derive some identities on these generalizedw‐Genocchi polynomials, for example, fermionicp‐adic integral representation, Witt′s type formula, explicit formula, multiplication formula, and recurrence formula for thesew‐Genocchi polynomials.
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We consider weighted 𝑞-Genocchi numbers and polynomials. We investigated some interesting properties of the weighted 𝑞-Genocchi numbers related to weighted 𝑞-Bernstein polynomials by using fermionic 𝑝-adic integrals on ℤ𝑝.
Serkan Araci, Dilek Erdal, Jong Jin Seo
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On Shortened Recurrence Relations for Genocchi Numbers and Polynomials
See the abstract in the attached pdf.
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A note on poly-Genocchi numbers and polynomials
In this paper, we introduce the poly-Genocchi numbers and polynomials and we give some identities of those polynomials related to the Stirling numbers of the second kind.
Taekyun Kim, Yu Seon Jang, Jong Jin Seo
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Hermite polynomials related to Genocchi, Euler and Bernstein polynomials
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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A systemic study of some families of 𝑞-Genocchi numbers and families of polynomials of Nörlund type is presented by using the multivariate fermionic 𝑝-adic integral on ℤ𝑝.
Seog-Hoon Rim +3 more
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Mathematical modeling of COVID-19 pandemic in India using Caputo-Fabrizio fractional derivative. [PDF]
Pandey P +4 more
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Identities between polynomials related to Stirling and harmonic numbers
We consider two types of polynomials $F_n (x) = \sum_{\nu=1}^n \nu! S_2(n,\nu) x^\nu$ and $\hat{F}_n (x) = \sum_{\nu=1}^n \nu! S_2(n,\nu) H_\nu x^\nu$, where $S_2(n,\nu)$ are the Stirling numbers of the second kind and $H_\nu$ are the harmonic numbers ...
Kellner, Bernd C.
core
Stability and numerical analysis of the generalised time-fractional Cattaneo model for heat conduction in porous media. [PDF]
Mohan L, Prakash A.
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On the Distribution of the q-Euler Polynomials and the q-Genocchi Polynomials of Higher Order
In 2007 and 2008, Kim constructed the q-extension of Euler and Genocchi polynomials of higher order and Choi-Anderson-Srivastava have studied the q-extension of Euler and Genocchi numbers of higher order, which is defined by Kim.
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