Results 81 to 90 of about 1,211 (149)
Identities between polynomials related to Stirling and harmonic numbers
, 2014 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
Identities involving q-Genocchi numbers and polynomials
, 2012 In this paper, we focus on the q-Genocchi numbers and polynomials. We shall introduce new identities of the q-Genocchi numbers and polynomials by using the fermionic p-adic integral on Zp which are very important in the study of Frobenius-Genocchi numbers and polynomials. Also, we give Cauchy-integral formula for the q-Genocchi polynomials and moreover
Araci, Serkan +3 more
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Advances in Applied MathematicsA D-permutation is a permutation of $[2n]$ satisfying $2k-1 \le σ(2k-1)$ and $2k \ge σ(2k)$ for all $k$; they provide a combinatorial model for the Genocchi and median Genocchi numbers. We find Stieltjes-type and Thron-type continued fractions for some multivariate polynomials that enumerate D-permutations with respect to a very large (sometimes ...
Bishal Deb, Alan D. Sokal
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Degenerate flag varieties and the median Genocchi numbers [PDF]
Mathematical Research Letters, 2011 We study the $\bG_a^M$ degenerations $\Fl^a_\la$ of the type $A$ flag varieties $\Fl_\la$. We describe these degenerations explicitly as subvarieties in the products of Grassmanians. We construct cell decompositions of $\Fl^a_\la$ and show that for complete flags the number of cells is equal to the normalized median Genocchi numbers $h_n$.
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New Construction Weighted (h,q)-Genocchi Numbers and Polynomials Related to Zeta Type Functions
Discrete Dynamics in Nature and Society, 2011 The fundamental aim of this paper is to construct (h,q)-Genocchi numbers and polynomials with weight α. We shall obtain some interesting relations by using p-adic q-integral on Zp in the sense of fermionic.
Serkan Araci, Jong Jin Seo, Dilek Erdal
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A note on poly-Genocchi numbers and polynomials
Applied Mathematical Sciences, 2014 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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Mathematical modeling of COVID-19 pandemic in India using Caputo-Fabrizio fractional derivative. [PDF]
Comput Biol Med, 2022 Pandey P +4 more
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Astrocytes Exhibit a Protective Role in Neuronal Firing Patterns under Chemically Induced Seizures in Neuron-Astrocyte Co-Cultures. [PDF]
Int J Mol Sci, 2021 Ahtiainen A +5 more
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On the Distribution of the q-Euler Polynomials and the q-Genocchi Polynomials of Higher Order
Journal of Inequalities and Applications, 2009 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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Applied Mathematics in Science and EngineeringIn this work, we consider the degenerate Frobenius-Euler-Genocchi polynomials utilizing the degenerate exponential function and the degenerate Changhee-Frobenius-Euler-Genocchi polynomials utilizing the degenerate logarithm function.
Waseem Ahmad Khan +3 more
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