Results 1 to 10 of about 53 (38)
Analytical properties of type 2 degenerate poly-Bernoulli polynomials associated with their applications [PDF]
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
doaj +2 more sources
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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A study on two types of degenerate unipoly-Dedekind sums
Applied Mathematics in Science and EngineeringIn this paper, we study the degenerate unipoly-Dedekind sums rising from the type 2 degenerate unipoly Bernoulli functions and degenerate unipoly-Bernoulli functions of arbitrary indices, respectively.
Wencong Liu +3 more
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A Note on Type-Two Degenerate Poly-Changhee Polynomials of the Second Kind [PDF]
, 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
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Explicit relations on the degenerate type 2-unified Apostol–Bernoulli, Euler and Genocchi polynomials and numbers [PDF]
, 2023 The main aim of this paper is to introduce and investigate the degenerate type 2-unified Apostol–Bernoulli, Euler and Genocchi polynomials by using monomiality principle and operational methods.
Burak Kurt
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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
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
doaj +1 more source
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 the Degenerate Poly-Cauchy Polynomials and Numbers of the Second Kind
, 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
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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
doaj +1 more source