Results 61 to 70 of about 758,034 (91)

ON DEGENERATE BIVARIATE POLY-FUBINI POLYNOMIALS

In this paper, we introduce and investigate a new family of special polynomials called the degenerate bivariate poly-Fubini polynomials through an appropriate generating function involving the polylogarithm function and the degenerate exponential ...
Nestor G. Acala, Jasmin M. Macagaan
core   +1 more source

POLYLOGARITHMS AND POLY-BERNOULLI POLYNOMIALS

In this paper we investigate special generalized Bernoulli polynomials that generalize classical Bernoulli polynomials and numbers. We call them poly-Bernoulli polynomials. We prove a collection of extremely important and fundamental identities satisfied
Hamahata, Yoshinori, 浜畑, 芳紀, Bayad, Abdelmejid, ハマハタ, ヨシノリ   +3 more
core   +1 more source

An Operational Matrix Method Based on Poly-Bernoulli Polynomials for Solving Fractional Delay Differential Equations

, 2020
In this work, we derive the operational matrix using poly-Bernoulli polynomials. These polynomials generalize the Bernoulli polynomials using a generating function involving a polylogarithm function.
Chang Phang, Yoke Teng Toh, Farah Suraya Md Nasrudin   +2 more
core   +1 more source

Study of Degenerate Poly-Bernoulli Polynomials by λ-Umbral Calculus

Computer Modeling in Engineering & Sciences, 2021
Lee-Chae Jang, Dae San Kim, Hanyoung Kim, Taekyun Kim, Hyunseok Lee   +4 more
openaire   +1 more source

On Gould-Hopper based fully degenerate Type2 poly-Bernoulli polynomials with a q -parameter

Journal of Nonlinear Sciences and Applications, 2023
E. Negiz, M. Acikgoz, U. Duran
openaire   +1 more source

POLYLOGARITHMS AND POLY-BERNOULLI POLYNOMIALS

, 2011
In this paper we investigate special generalized Bernoulli polynomials that generalize classical Bernoulli polynomials and numbers. We call them poly-Bernoulli polynomials. We prove a collection of extremely important and fundamental identities satisfied
Hamahata, Yoshinori, 浜畑, 芳紀, Bayad, Abdelmejid   +2 more
core  

Combinatorial Aspects of Poly-Bernoulli Polynomials and Poly-Euler Numbers [PDF]

In this article, we introduce combinatorial models for poly-Bernoulli polynomials and poly-Euler numbers of both kinds. As their applications,we provide combinatorial proofs of some identities involving poly-Bernoullipolynomials.Dans cet article, nous ...
Matsusaka, Toshiki, Bényi, Beáta
core   +1 more source

A new type of degenerate poly-Euler polynomials

, 2022
Many mathematicians have been studying various degenerate versions of special polynomials and numbers in some arithmetic and combinatorial aspects. Our main focus here is a new type of degenerate poly-Euler polynomials and numbers.
Kim, Taekyun, Li, Hongze, Ma, Yuankui
core  

A two-pronged progress in structured dense matrixvector multiplication. [PDF]

Proc Annu ACM SIAM Symp Discret Algorithms, 2018
De Sa C, Gu A, Puttagunta R, Ré C, Rudra A.   +4 more
europepmc   +1 more source

Hermite based poly-bernoulli polynomials with a g-parameter

, 2018
We introduce the Hermite based poly-Bernoulli polynomials with a q parameter and give some of their basic properties including not only addition property, but also derivative properties and integral representations.
Araci, Serkan, Duran, Ugur, Acikgoz, Mehmet   +2 more
core   +1 more source