Results 41 to 50 of about 4,701 (182)

Some identities on derangement and degenerate derangement polynomials

, 2017
In combinatorics, a derangement is a permutation that has no fixed points. The number of derangements of an n-element set is called the n-th derangement number.
AM Garsia, DS Kim, J-L Lavoie, JB Remmel, L Carlitz, ML Wachs, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, W Heise   +14 more
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Degenerate poly-Bernoulli polynomials with umbral calculus viewpoint [PDF]

Journal of Inequalities and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, Dae San, Kim, Taekyun, Kwon, Hyuck In, Mansour, Toufik   +3 more
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Degenerate poly-Bell polynomials and numbers

Advances in Difference Equations, 2021
Numerous mathematicians have studied ‘poly’ as one of the generalizations to special polynomials, such as Bernoulli, Euler, Cauchy, and Genocchi polynomials.
Taekyun Kim, Hye Kyung Kim
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A Study on Generalized Degenerate Form of 2D Appell Polynomials via Fractional Operators

Fractal and Fractional, 2023
This paper investigates the significance of generating expressions, operational principles, and defining characteristics in the study and development of special polynomials.
Mohra Zayed, Shahid Ahmad Wani
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Degenerate Euler zeta function

, 2015
Recently, T. Kim considered Euler zeta function which interpolates Euler polynomials at negative integer (see [3]). In this paper, we study degenerate Euler zeta function which is holomorphic function on complex s-plane associated with degenerate Euler ...
Kim, Taekyun
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Hypergeometric degenerate Bernoulli polynomials and numbers

Ars Mathematica Contemporanea, 2020
Summary: Carlitz defined the degenerate Bernoulli polynomials \(\beta_n(\lambda,x)\) by means of the generating function \(t\left((1+\lambda t)^{1\lambda} -1\right)^{-1}(1+\lambda t)^{x/\lambda}\). In 1875, Glaisher gave several interesting determinant expressions of numbers, including Bernoulli, Cauchy and Euler numbers.
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Sheffer type degenerate Euler and Bernoulli polynomials

Filomat, 2019
In this paper, we study some special polynomials which are related to Sheffer sequence. In addition, we give some new identities for these numbers and polynomials.
Kim, Taekyun, Ryoo, Cheon Seoung
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Gluing Nekrasov partition functions

, 2014
In this paper we summarise the localisation calculation of 5D super Yang-Mills on simply connected toric Sasaki-Einstein (SE) manifolds. We show how various aspects of the computation, including the equivariant index, the asymptotic behaviour and the ...
Qiu, Jian, Tizzano, Luigi, Winding, Jacob, Zabzine, Maxim   +3 more
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Degenerate Versions of Hypergeometric Bernoulli–Euler Polynomials

Lobachevskii Journal of Mathematics
In this paper, we introduce degenerate versions of the hypergeometric Bernoulli and Euler polynomials. We demonstrate that they form Δλ-Appell sets and provide some of their algebraic properties, including inversion formulas, as well as the associated matrix formulation.
Cesarano, Clemente, Quintana, Yamilet, Ramírez, William   +2 more
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Gould-Hopper Based Degenerate Truncated Bernoulli Polynomials

Mathematical Sciences and Applications E-Notes, 2022
In this study, we consider the truncated degenerate Bernoulli polynomials based on the Gould-Hopper polynomials and examine diverse properties and formulas covering addition formulas, correlations and derivation property. Then, we derive some interesting implicit summation formulas and symmetric identities.
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