Results 31 to 40 of about 4,850 (153)
A new approach to fully degenerate Bernoulli numbers and polynomials [PDF]
Filomat, 2022 In this paper, we consider the doubly indexed sequence a(r) ? (n,m), (n,m ? 0), defined by a recurrence relation and an initial sequence a(r) ? (0,m), (m ? 0). We derive with the help of some differential operator an explicit expression for a(r) ? (n,
Taekyun Kim, Dae San Kim
semanticscholar +1 more source
A Note on Multi-Euler–Genocchi and Degenerate Multi-Euler–Genocchi Polynomials
Journal of Mathematics, 2023 Recently, the generalized Euler–Genocchi and generalized degenerate Euler–Genocchi polynomials are introduced. The aim of this note is to study the multi-Euler–Genocchi and degenerate multi-Euler–Genocchi polynomials which are defined by means of the ...
Taekyun Kim +3 more
doaj +1 more source
Some Identities of Degenerate Bell Polynomials
Mathematics, 2020 The new type degenerate of Bell polynomials and numbers were recently introduced, which are a degenerate version of Bell polynomials and numbers and are different from the previously introduced partially degenerate Bell polynomials and numbers.
Taekyun Kim +3 more
doaj +1 more source
Normal ordering of degenerate integral powers of number operator and its applications
Applied Mathematics in Science and Engineering, 2022 The normal ordering of an integral power of the number operator in terms of boson operators is expressed with the help of the Stirling numbers of the second kind. As a ‘degenerate version’ of this, we consider the normal ordering of a degenerate integral
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj +1 more source
Some identities related to degenerate r-Bell and degenerate Fubini polynomials
Applied Mathematics in Science and Engineering, 2023 Many works have been done in recent years as to explorations for degenerate versions of some special polynomials and numbers, which began with the pioneering work of Carlitz on the degenerate Bernoulli and degenerate Euler polynomials.
Taekyun Kim, Dae San Kim, Jongkyum Kwon
doaj +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
A Study on degenerate Whitney numbers of the first and second kinds of Dowling lattices
, 2021 Dowling constructed Dowling lattice Qn(G), for any finite set with n elements and any finite multiplicative group G of order m, which is a finite geometric lattice.
Kim, Dae San, Kim, Taekyun
core +1 more source
Some properties on degenerate Fubini polynomials
Applied Mathematics in Science and Engineering, 2022 The nth Fubini number enumerates the number of ordered partitions of a set with n elements and is the number of possible ways to write the Fubini formula for a summation of integration of order n. Further, Fubini polynomials are natural extensions of the
Taekyun Kim +3 more
doaj +1 more source
Some Identities on Type 2 Degenerate Bernoulli Polynomials of the Second Kind [PDF]
Symmetry, 2019 In recent years, many mathematicians studied various degenerate versions of some special polynomials for which quite a few interesting results were discovered. In this paper, we introduce the type 2 degenerate Bernoulli polynomials of the second kind and
Taekyun Kim +3 more
semanticscholar +1 more source
SYMMETRIC IDENTITIES FOR DEGENERATE q-POLY-GENOCCHI NUMBERS AND POLYNOMIALS
South East Asian J. of Mathematics and Mathematical Sciences, 2023 In the present article, we introduce a new class of degenerate q-poly- Genocchi polynomials and numbers including q-logarithm function. We derive some relations with this polynomials and the Stirling numbers of the second kind and investigate some ...
Mohd Nadeem, W. Khan
semanticscholar +1 more source