Results 21 to 30 of about 4,803 (146)

A note on degenerate poly-Genocchi numbers and polynomials

open access: yesAdvances 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   +1 more source

A Note on Some Identities of New Type Degenerate Bell Polynomials

open access: yesMathematics, 2019
Recently, the partially degenerate Bell polynomials and numbers, which are a degenerate version of Bell polynomials and numbers, were introduced.
Taekyun Kim   +3 more
doaj   +1 more source

New type of degenerate Daehee polynomials of the second kind

open access: yesAdvances in Difference Equations, 2020
Recently, Kim and Kim (Russ. J. Math. Phys. 27(2):227–235, 2020) have studied new type degenerate Bernoulli numbers and polynomials by making use of degenerate logarithm. Motivated by (Kim and Kim in Russ. J. Math. Phys. 27(2):227–235, 2020), we consider
Sunil Kumar Sharma   +3 more
doaj   +1 more source

Degenerate r-Bell Polynomials Arising from Degenerate Normal Ordering

open access: yesJournal of Mathematics, 2022
Recently, Kim-Kim introduced the degenerate r-Bell polynomials and investigated some results which are derived from umbral calculus. The aim of this paper is to study some properties of the degenerate r-Bell polynomials and numbers via boson operators ...
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj   +1 more source

Durfee-type bound for some non-degenerate complete intersection singularities [PDF]

open access: yes, 2016
The Milnor number, \mu(X,0), and the singularity genus, p_g(X,0), are fundamental invariants of isolated hypersurface singularities (more generally, of local complete intersections).
Kerner, Dmitry, Némethi, András
core   +2 more sources

Degenerate Poly-Lah-Bell Polynomials and Numbers

open access: yesJournal 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

Extended degenerate Stirling numbers of the second kind and extended degenerate Bell polynomials

open access: yes, 2017
In a recent work, the degenerate Stirling polynomials of the second kind were studied by T. Kim. In this paper, we investigate the extended degenerate Stirling numbers of the second kind and the extended degenerate Bell polynomials associated with them.
Kim, Taekyun, Kim, Dae San
openaire   +2 more sources

Combinatorial Identities with Several Kinds of Degenerate-Daehee Sequences [PDF]

open access: yes, 2020
In this paper, we mainly make use of the probabilistic method to calculate several different moment representations of the degenerate Daehee numbers of the third kind with degenerate log function.
Hao, Tian, Wuyungaowa, .
core   +1 more source

Ordinary and degenerate Euler numbers and polynomials

open access: yesJournal of Inequalities and Applications, 2019
In this paper, we study some identities on Euler numbers and polynomials, and those on degenerate Euler numbers and polynomials which are derived from the fermionic p-adic integrals on Zp $\mathbb{Z}_{p}$.
Taekyun Kim   +3 more
doaj   +1 more source

On generalized degenerate Euler–Genocchi polynomials

open access: yesApplied Mathematics in Science and Engineering, 2023
We introduce the generalized degenerate Euler–Genocchi polynomials as a degenerate version of the Euler–Genocchi polynomials. In addition, we introduce their higher-order version, namely the generalized degenerate Euler–Genocchi polynomials of order α ...
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj   +1 more source

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