Results 31 to 40 of about 16,374 (190)

Some Identities of Degenerate Bell Polynomials

open access: yesMathematics, 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

Some identities related to degenerate r-Bell and degenerate Fubini polynomials

open access: yesApplied 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

On type 2 degenerate Bernoulli and Euler polynomials of complex variable

open access: yesAdvances in Difference Equations, 2019
Recently, Masjed-Jamei, Beyki, and Koepf studied the so-called new type Euler polynomials without using Euler polynomials of complex variable. Here we study the type 2 degenerate cosine-Euler and type 2 degenerate sine-Euler polynomials, which are type 2
Taekyun Kim   +3 more
doaj   +1 more source

A Study on Generalized Degenerate Form of 2D Appell Polynomials via Fractional Operators

open access: yesFractal and Fractional, 2023
This paper investigates the significance of generating expressions, operational principles, and defining characteristics in the study and development of special polynomials.
Mohra Zayed, Shahid Ahmad Wani
doaj   +1 more source

Some identities of special numbers and polynomials arising from p-adic integrals on Zp $\mathbb{Z}_{p}$

open access: yesAdvances in Difference Equations, 2019
In recent years, studying degenerate versions of various special polynomials and numbers has attracted many mathematicians. Here we introduce degenerate type 2 Bernoulli polynomials, fully degenerate type 2 Bernoulli polynomials, and degenerate type 2 ...
Dae San Kim   +3 more
doaj   +1 more source

Degenerate poly-Bell polynomials and numbers

open access: yesAdvances in Difference Equations, 2021
Numerous mathematicians have studied ‘poly’ as one of the generalizations to special polynomials, such as Bernoulli, Euler, Cauchy, and Genocchi polynomials.
Taekyun Kim, Hye Kyung Kim
doaj   +1 more source

Reciprocity of degenerate poly-Dedekind-type DC sums

open access: yesApplied Mathematics in Science and Engineering, 2023
Dedekind-type DC sums and their properties are defined in terms of Euler functions. Ma et al. recently introduced poly-Dedekind-type DC sums and demonstrated that they satisfy a reciprocity relation.
Lingling Luo   +3 more
doaj   +1 more source

On some extensions for degenerate Frobenius-Euler-Genocchi polynomials with applications in computer modeling

open access: yesApplied Mathematics in Science and Engineering
In this work, we consider the degenerate Frobenius-Euler-Genocchi polynomials utilizing the degenerate exponential function and the degenerate Changhee-Frobenius-Euler-Genocchi polynomials utilizing the degenerate logarithm function.
Waseem Ahmad Khan   +3 more
doaj   +1 more source

Degenerate Euler zeta function

open access: yes, 2015
Recently, T. Kim considered Euler zeta function which interpolates Euler polynomials at negative integer (see [3]). In this paper, we study degenerate Euler zeta function which is holomorphic function on complex s-plane associated with degenerate Euler ...
Kim, Taekyun
core   +1 more source

Symmetric identities of higher-order degenerate q-Euler polynomials

open access: yesJournal of Nonlinear Sciences and Applications, 2016
The purpose of this paper is to give some symmetric identities of higher-order degenerate Euler polynomials derived from the symmetric properties of the multivariate p-adic fermionic integrals on Zp.
Kim, Dae San, Kim, Taekyun
openaire   +4 more sources

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