Results 21 to 30 of about 16,374 (190)
On degenerate q-Euler polynomials [PDF]
Applied Mathematical Sciences, 2015 In this paper, we consider degenerate Carlitz's type q-Euler polynmials and numbers and we investigate some identities arising from the fermionic p-adic integral equations and the generating function of thoe polynomials.
Dolgy, Dmitry V. +3 more
openaire +2 more sources
Type 2 Degenerate Poly-Euler Polynomials [PDF]
Symmetry, 2020 In recent years, many mathematicians have studied the degenerate versions of many special polynomials and numbers. The polyexponential functions were introduced by Hardy and rediscovered by Kim, as inverses to the polylogarithms functions. The paper is divided two parts.
Lee, Dae Sik +2 more
openaire +1 more source
New degenerate Bernoulli, Euler, and Genocchi polynomials [PDF]
Pure Mathematics and Applications, 2020 Abstract We introduce new generalizations of the Bernoulli, Euler, and Genocchi polynomials and numbers based on the Carlitz-Tsallis degenerate exponential function. Also, we present generalizations of some familiar identities and connection between these types of Bernoulli, Euler, and Genocchi polynomials.
Orli Herscovici, Toufik Mansour
openaire +1 more source
High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes [PDF]
, 2019 We present a new family of very high order accurate direct Arbitrary-Lagrangian-Eulerian (ALE) Finite Volume (FV) and Discontinuous Galerkin (DG) schemes for the solution of nonlinear hyperbolic PDE systems on moving 2D Voronoi meshes that are ...
Boscheri, Walter +6 more
core +4 more sources
AIMS Mathematics, 2022 We present a new type of degenerate poly-Bernoulli polynomials and numbers by modifying the polyexponential function in terms of the degenerate exponential functions and degenerate logarithm functions. Also, we introduce a new variation of the degenerate
Dojin Kim +2 more
doaj +1 more source
Degenerate Poly-Lah-Bell Polynomials and Numbers
Journal of Mathematics, 2022 Many mathematicians studied “poly” as a generalization of the well-known special polynomials such as Bernoulli polynomials, Euler polynomials, Cauchy polynomials, and Genocchi polynomials. In this paper, we define the degenerate poly-Lah-Bell polynomials
Taekyun Kim, Hye Kyung Kim
doaj +1 more source
Approximate Roots and Properties of Differential Equations for Degenerate q-Special Polynomials
Mathematics, 2023 In this paper, we generate new degenerate quantum Euler polynomials (DQE polynomials), which are related to both degenerate Euler polynomials and q-Euler polynomials.
Jung-Yoog Kang, Cheon-Seoung Ryoo
doaj +1 more source
Higher-order degenerate Euler polynomials
Applied Mathematical Sciences, 2015 In this paper, by considering higher-order degenerate Euler polynomials which were introduced by Carlitz, we investigate some properties of those polynomials. From the properties of Sheffer sequences of these polynomials arising from umbral calculus, we derive some new and interesting identities.
Dae San Kim, Taekyun Kim
openaire +1 more source
Degenerate Catalan-Daehee numbers and polynomials of order r arising from degenerate umbral calculus
AIMS Mathematics, 2022 Many mathematicians have studied degenerate versions of some special polynomials and numbers that can take into account the surrounding environment or a person's psychological burden in recent years, and they've discovered some interesting results ...
Hye Kyung Kim, Dmitry V. Dolgy
doaj +1 more source
Extended Bernoulli and Stirling matrices and related combinatorial identities [PDF]
, 2013 In this paper we establish plenty of number theoretic and combinatoric identities involving generalized Bernoulli and Stirling numbers of both kinds. These formulas are deduced from Pascal type matrix representations of Bernoulli and Stirling numbers ...
Can, Mümün, Dağlı, M. Cihat
core +1 more source