Results 1 to 10 of about 34 (33)
AIMS 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
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AIMS 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
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Construction on the Degenerate Poly‐Frobenius‐Euler Polynomials of Complex Variable
Journal 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
Some identities and reciprocity relationsof unipoly-Dedekind type DC sums
Journal of Inequalities and Applications, 2021 Dedekind type DC sums and their generalizations are defined in terms of Euler functions and their generalization. Recently, Ma et al. (Adv. Differ. Equ. 2021:30 2021) introduced the poly-Dedekind type DC sums by replacing the Euler function appearing in ...
Hye Kyung Kim, Dae Sik Lee
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A New Family of Degenerate Poly‐Genocchi Polynomials with Its Certain Properties
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, we introduce a new type of degenerate Genocchi polynomials and numbers, which are called degenerate poly‐Genocchi polynomials and numbers, by using the degenerate polylogarithm function, and we derive several properties of these polynomials systematically.
Waseem A. Khan +4 more
wiley +1 more source
A note on polyexponential and unipoly Bernoulli polynomials of the second kind
Open Mathematics, 2021 In this paper, the authors study the poly-Bernoulli numbers of the second kind, which are defined by using polyexponential functions introduced by Kims. Also by using unipoly function, we study the unipoly Bernoulli numbers of the second kind, which are ...
Ma Minyoung, Lim Dongkyu
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Construction of Type 2 Poly‐Changhee Polynomials and Its Applications
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, we introduce type 2 poly‐Changhee polynomials by using the polyexponential function. We derive some explicit expressions and identities for these polynomials, and we also prove some relationships between poly‐Changhee polynomials and Stirling numbers of the first and second kind.
Ghulam Muhiuddin +3 more
wiley +1 more source
Advances 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
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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
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On the new type of degenerate poly-Genocchi numbers and polynomials
Advances in Difference Equations, 2020 Kim and Kim (J. Math. Anal. Appl. 487:124017, 2020) introduced the degenerate logarithm function, which is the inverse of the degenerate exponential function, and defined the degenerate polylogarithm function.
Dae Sik Lee, Hye Kyung Kim
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