Results 51 to 60 of about 758,034 (91)

Note on the Type 2 Degenerate Multi-Poly-Euler Polynomials

, 2020
Kim and Kim (Russ. J. Math. Phys. 26, 2019, 40-49) introduced polyexponential function as an inverse to the polylogarithm function and by this, constructed a new type poly-Bernoulli polynomials.
Ugur Duran, Mehmet Acikgoz, Waseem Ahmad Khan   +2 more
core   +1 more source

Degenerate Fubini-Type Polynomials and Numbers, Degenerate Apostol–Bernoulli Polynomials and Numbers, and Degenerate Apostol–Euler Polynomials and Numbers

, 2022
In this paper, by introducing degenerate Fubini-type polynomials, with the help of the Faà di Bruno formula and some properties of partial Bell polynomials, the authors provide several new explicit formulas and recurrence relations for Fubini-type
Muhammet Cihat Dağli, Feng Qi, Siqintuya Jin   +2 more
core   +1 more source

Insight into degenerate Bell-based Bernoulli polynomials with applications [PDF]

Recently, the Bell-based Stirling polynomials of the second kind and the Bell-based Bernoulli polynomials [U. Duran, S. Araci, M. Acikgoz, Axioms, 10 (2021), 23 pages] have been considered, and some of their properties and applications in umbral calculus
Acikgoz, M, Araci, S, Duran, U
core   +2 more sources

A new class of degenerate biparametric apostol–type polynomials

, 2023
The main objective of this paper is to introduce and explore two novel classes of degenerate biparametric Apostol-type polynomials, which are based on a definition of degenerate Apostol-type polynomials provided by Subuhi Khan et al.
Ramírez, William, Cesarano, Clemente, Bedoya, Daniel, Castilla, Letelier   +3 more
core   +1 more source

A study on a type of degenerate poly-Dedekind sums

Demonstratio Mathematica
Dedekind sums and their generalizations are defined in terms of Bernoulli functions and their generalizations. As a new generalization of the Dedekind sums, the degenerate poly-Dedekind sums, which are obtained from the Dedekind sums by replacing ...
Ma Yuankui, Luo Lingling, Kim Taekyun, Li Hongze, Zhang Wenpeng   +4 more
doaj   +1 more source

On modified degenerate Carlitz q-Bernoulli numbers and polynomials [PDF]

, 2017
In a recent study by Kim (Bull. Korean Math. Soc. 53(4):1149-1156, 2016 ) an attempt was made to examine some of the identities and properties that are related to the degenerate Carlitz q -Bernoulli numbers and polynomials.
Jeong Gon Lee, Jang, Lee-Chae, Lee-Chae Jang, Lee, Jeong   +3 more
core   +2 more sources

Arakawa–Kaneko L-functions and generalized poly-Bernoulli polynomials [PDF]

, 2011
We introduce and investigate generalized poly-Bernoulli numbers and polynomials. We state and prove several properties satisfied by these polynomials. The generalized poly-Bernoulli numbers are algebraic numbers. We introduce and study the Arakawa–Kaneko
Hamahata, Yoshinori, Abdelmejid Bayad, Yoshinori Hamahata, Bayad, Abdelmejid   +3 more
core   +1 more source

Universal sieve-based strategies for efficient estimation using machine learning tools. [PDF]

Bernoulli (Andover), 2021
Qiu H, Luedtke A, Carone M.
europepmc   +1 more source

Some Identities of Fully Degenerate Bernoulli Polynomials Associated with Degenerate Bernstein Polynomials

, 2019
In this paper, we investigate some properties and identities for fully degenerate Bernoulli polynomials in connection with degenerate Bernstein polynomials by means of bosonic p-adic integrals on Z p and generating functions.
Jeong Gon Lee, Lee-Chae Jang, Wonjoo Kim
core   +1 more source

UEG Week 2025 Poster Presentations

United European Gastroenterology Journal, Volume 13, Issue S8, Page S803-S1476, October 2025.
wiley   +1 more source