Results 21 to 30 of about 4,745 (169)
Some Identities of Degenerate Bell Polynomials
Mathematics, 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
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Identities on Changhee Polynomials Arising from λ-Sheffer Sequences
Complexity, 2022 In this paper, authors found a new and interesting identity between Changhee polynomials and some degenerate polynomials such as degenerate Bernoulli polynomials of the first and second kind, degenerate Euler polynomials, degenerate Daehee polynomials ...
Byung Moon Kim +3 more
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Degenerate Poly-Type 2-Bernoulli Polynomials
Mathematical Sciences and Applications E-Notes, 2021 Recently, Kim-Kim [10] have studied type 2-Changhee and Daehee polynomials. They have also introduced the type 2-Bernoulli polynomials in order to express the central factorial numbers of the second kind by making use of type 2-Bernoulli numbers of negative integral orders. Inspired by their work, we consider a new class of generating functions of type
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A new approach to fully degenerate Bernoulli numbers and polynomials
Filomat, 2023 In this paper, we consider the doubly indexed sequence a(r) ? (n,m), (n,m ? 0), defined by a recurrence relation and an initial sequence a(r) ? (0,m), (m ? 0). We derive with the help of some differential operator an explicit expression for a(r) ?
Kim, Taekyun, Kim, Dae san
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A note on degenerate multi-poly-Bernoulli numbers and polynomials
Applicable Analysis and Discrete Mathematics, 2023 In this paper, we consider the degenerate multi-poly-Bernoulli numbers and polynomials which are defined by means of the multiple polylogarithms and degenerate versions of the multi-poly-Bernoulli numbers and polynomials. We investigate some properties for those numbers and polynomials.
Kim, Taekyun, Kim, Dae San
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Advances 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
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Two types of hypergeometric degenerate Cauchy numbers
Open Mathematics, 2020 In 1985, Howard introduced degenerate Cauchy polynomials together with degenerate Bernoulli polynomials. His degenerate Bernoulli polynomials have been studied by many authors, but his degenerate Cauchy polynomials have been forgotten.
Komatsu Takao
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Hypergeometric degenerate Bernoulli polynomials and numbers
Ars Mathematica Contemporanea, 2020 Summary: Carlitz defined the degenerate Bernoulli polynomials \(\beta_n(\lambda,x)\) by means of the generating function \(t\left((1+\lambda t)^{1\lambda} -1\right)^{-1}(1+\lambda t)^{x/\lambda}\). In 1875, Glaisher gave several interesting determinant expressions of numbers, including Bernoulli, Cauchy and Euler numbers.
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New degenerate Bernoulli, Euler, and Genocchi polynomials [PDF]
Pure Mathematics and Applications, 2020 Abstract We introduce new generalizations of the Bernoulli, Euler, and Genocchi polynomials and numbers based on the Carlitz-Tsallis degenerate exponential function. Also, we present generalizations of some familiar identities and connection between these types of Bernoulli, Euler, and Genocchi polynomials.
Orli Herscovici, Toufik Mansour
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Some identities related to degenerate Stirling numbers of the second kind
Demonstratio Mathematica, 2022 The degenerate Stirling numbers of the second kind were introduced as a degenerate version of the ordinary Stirling numbers of the second kind. They appear very frequently when one studies various degenerate versions of some special numbers and ...
Kim Taekyun, Kim Dae San, Kim Hye Kyung
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