Results 21 to 30 of about 4,850 (153)

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   +2 more sources

Degenerate Derangement Polynomials and Numbers

Fractal and Fractional, 2021
In this paper, we consider a new type of degenerate derangement polynomial and number, which shall be called the degenerate derangement polynomials and numbers of the second kind.
Minyoung Ma, Dongkyu Lim
doaj   +2 more sources

Degenerate Hermite poly-Bernoulli numbers and polynomials with q-parameter [PDF]

, 2020
In this paper, we introduce a new class of degenerate Hermite polyBernoulli polynomials with q-parameter and give some identities of these polynomials related to the Stirling numbers of the second kind.
ALI, Musharraf, KHAN, Idrees A., KHAN, Waseem A.   +2 more
core   +3 more sources

Combinatorial identities related to degenerate Stirling numbers of the second kind

Proceedings of the Steklov Institute of Mathematics
The study of degenerate versions of certain special polynomials and numbers, which was initiated by Carlitz's work on degenerate Euler and degenerate Bernoulli polynomials, has recently seen renewed interest among mathematicians. The aim of this paper is to study some properties, certain identities, recurrence relations and explicit expressions for ...
Kim, Taekyun, Kim, Dae san
openaire   +3 more sources

A note on degenerate poly-Genocchi numbers and polynomials

Advances in Difference Equations, 2020
Recently, some mathematicians have been studying a lot of degenerate versions of special polynomials and numbers in some arithmetic and combinatorial aspects. Our research is also interested in this field.
Hye Kyung Kim, Lee-Chae Jang
doaj   +2 more sources

Some Identities on Degenerate $$r$$-Stirling Numbers via Boson Operators [PDF]

Russian journal of mathematical physics, 2022
Broder introduced the r-Stirling numbers of the first kind and of the second kind which enumerate restricted permutations and respectively restricted partitions, the restriction being that the first r elements must be in distinct cycles and respectively ...
Taekyun Kim, Dae San Kim
semanticscholar   +1 more source

Degenerate central factorial numbers of the second kind [PDF]

RACSAM, 2019
In this paper, we introduce the degenerate central factorial polynomials and numbers of the second kind which are degenerate versions of the central factorial polynomials and numbers of the second kind.
Taekyun Kim, Dae San Kim
semanticscholar   +2 more sources

New type degenerate Stirling numbers and Bell polynomials

Notes on Number Theory and Discrete Mathematics, 2022
In this paper, we introduce a new type degenerate Stirling numbers of the second kind and their degenerate Bell polynomials, which is different from degenerate Stirling numbers of the second kind studied so far.
Hye Kyung Kim
semanticscholar   +1 more source

A Note on Higher Order Degenerate Changhee-Genocchi Numbers and Polynomials of the Second Kind

Symmetry, 2022
In this paper, we consider the higher order degenerate Changhee–Genocchi polynomials of the second kind by using generating functions and the Riordan matrix methods.
Liwei Liu, Wuyungaowa
semanticscholar   +1 more source

A Note on Modified Degenerate Changhee-Genocchi Polynomials of the Second Kind

Symmetry, 2023
In this study, we introduce modified degenerate Changhee–Genocchi polynomials of the second kind, and analyze some properties by providing several relations and applications.
W. Khan, M. S. Alatawi
semanticscholar   +1 more source