Results 1 to 10 of about 53 (43)

A Note on Type-Two Degenerate Poly-Changhee Polynomials of the Second Kind [PDF]

open access: yes, 2021
In this paper, we first define type-two degenerate poly-Changhee polynomials of the second kind by using modified degenerate polyexponential functions.
Dmitry V. Dolgy, Waseem A. Khan
core   +2 more sources

Type 2 degenerate modified poly-Bernoulli polynomials arising from the degenerate poly-exponential functions

open access: yesAIMS Mathematics, 2022
We present a new type of degenerate poly-Bernoulli polynomials and numbers by modifying the polyexponential function in terms of the degenerate exponential functions and degenerate logarithm functions. Also, we introduce a new variation of the degenerate
Dojin Kim   +2 more
doaj   +1 more source

A new family of degenerate poly-Bernoulli polynomials of the second kind with its certain related properties

open access: yesAIMS Mathematics, 2021
The main object of this article is to present type 2 degenerate poly-Bernoulli polynomials of the second kind and numbers by arising from modified degenerate polyexponential function and investigate some properties of them.
Waseem A. Khan   +5 more
doaj   +1 more source

Analytical properties of type 2 degenerate poly-Bernoulli polynomials associated with their applications

open access: yesAdvances in Difference Equations, 2021
Recently, Kim et al. (Adv. Differ. Equ. 2020:168, 2020) considered the poly-Bernoulli numbers and polynomials resulting from the moderated version of degenerate polyexponential functions. In this paper, we investigate the degenerate type 2 poly-Bernoulli
Waseem A. Khan   +3 more
doaj   +1 more source

On Degenerate Poly‐Daehee Polynomials Arising from Lambda‐Umbral Calculus

open access: yesJournal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In this article, we derived various identities between the degenerate poly‐Daehee polynomials and some special polynomials by using λ‐umbral calculus by finding the coefficients when expressing degenerate poly‐Daehee polynomials as a linear combination of degenerate Bernoulli polynomials, degenerate Euler polynomials, degenerate Bernoulli polynomials ...
Sang Jo Yun, Jin-Woo Park, M. M. Bhatti
wiley   +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

Type 2 Degenerate Poly-Euler Polynomials [PDF]

open access: yes, 2020
In recent years, many mathematicians have studied the degenerate versions of many special polynomials and numbers. The polyexponential functions were introduced by Hardy and rediscovered by Kim, as inverses to the polylogarithms functions.
Dae Lee, Hye Kim, Lee-Chae Jang
core   +2 more sources

Construction on the Degenerate Poly‐Frobenius‐Euler Polynomials of Complex Variable

open access: yesJournal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this paper, we introduce degenerate poly‐Frobenius‐Euler polynomials and derive some identities of these polynomials. We give some relationships between degenerate poly‐Frobenius‐Euler polynomials and degenerate Whitney numbers and Stirling numbers of the first kind.
Ghulam Muhiuddin   +3 more
wiley   +1 more source

A Note on the Degenerate Poly-Cauchy Polynomials and Numbers of the Second Kind

open access: yes, 2020
Kim(2015) introduced the degenerate Cauchy numbers of the second kind and gave some identities of them. In this paper, by using the modified polyexponential functions which are introduced by Kim-Kim(2019), we define the degenerate poly-Cauchy polynomials
Hye Kyung Kim, Lee-Chae Jang
core   +3 more sources

Some Identities of the Degenerate Multi‐Poly‐Bernoulli Polynomials of Complex Variable

open access: yesJournal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this paper, we introduce degenerate multi‐poly‐Bernoulli polynomials and derive some identities of these polynomials. We give some relationship between degenerate multi‐poly‐Bernoulli polynomials degenerate Whitney numbers and Stirling numbers of the first kind.
G. Muhiuddin   +4 more
wiley   +1 more source

Home - About - Disclaimer - Privacy