Results 21 to 30 of about 1,398 (73)
Fully degenerate poly-Bernoulli polynomials with a q parameter
Filomat, 2016 In this paper, we consider the fully degenerate poly-Bernoulli polynomials with a q parameter. We present several properties, explicit formulas and recurrence relations for these polynomials by using the technique of umbral calculus.
Dae Kim +3 more
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On Gould-Hopper based fully degenerate Type2 poly-Bernoulli polynomials with a q -parameter
Journal of Nonlinear Sciences and Applications, 2023 E. Negiz, M. Acikgoz, U. Duran
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Study of Degenerate Poly-Bernoulli Polynomials by λ-Umbral Calculus
Computer Modeling in Engineering & Sciences, 2021 Lee-Chae Jang +4 more
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On Degenerate Poly-Daehee Polynomials Arising from Lambda-Umbral Calculus
Journal of Mathematics, 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 ...
Sang Jo Yun, Jin-Woo Park
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Degenerate Poly-Lah-Bell Polynomials and Numbers
Journal 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
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Fully degenerate Bernoulli numbers and polynomials
Demonstratio Mathematica, 2022 The aim of this article is to study the fully degenerate Bernoulli polynomials and numbers, which are a degenerate version of Bernoulli polynomials and numbers and arise naturally from the Volkenborn integral of the degenerate exponential functions on Zp{
Kim Taekyun, Kim Dae San, Park Jin-Woo
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Degenerate Bell polynomials associated with umbral calculus
Journal of Inequalities and Applications, 2020 Carlitz initiated a study of degenerate Bernoulli and Euler numbers and polynomials which is the pioneering work on degenerate versions of special numbers and polynomials.
Taekyun Kim +4 more
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Degenerate poly-Bell polynomials and numbers
Advances 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
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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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