Results 11 to 20 of about 212 (165)
Some Identities on Type 2 Degenerate Bernoulli Polynomials of the Second Kind [PDF]
Symmetry, 2020 In recent years, many mathematicians studied various degenerate versions of some special polynomials for which quite a few interesting results were discovered. In this paper, we introduce the type 2 degenerate Bernoulli polynomials of the second kind and their higher-order analogues, and study some identities and expressions for these polynomials ...
Taekyun Kim +2 more
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Note on Type 2 Degenerate q-Bernoulli Polynomials
Symmetry, 2019 The purpose of this paper is to introduce and study type 2 degenerate q-Bernoulli polynomials and numbers by virtue of the bosonic p-adic q-integrals. The obtained results are, among other things, several expressions for those polynomials, identities involving those numbers, identities regarding Carlitz’s q-Bernoulli numbers, identities concerning ...
Dae San Kim +2 more
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Degenerate Bernoulli polynomials, generalized factorial sums, and their applications
Journal of Number Theory, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paul Thomas Young
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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
doaj +2 more sources
On q-analogs of degenerate Bernoulli polynomials [PDF]
Advances in Difference Equations, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, Dae San +2 more
openaire +4 more sources
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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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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Some Identities of Ordinary and Degenerate Bernoulli Numbers and Polynomials [PDF]
Symmetry, 2019 In this paper, we investigate some identities on Bernoulli numbers and polynomials and those on degenerate Bernoulli numbers and polynomials arising from certain p-adic invariant integrals on Z p . In particular, we derive various expressions for the polynomials associated with integer power sums, called integer power sum polynomials and also ...
Dmitry V Dolgy +2 more
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Some Identities of Carlitz Degenerate Bernoulli Numbers and Polynomials [PDF]
Iranian Journal of Science and Technology, Transaction A: Science, 2017 In this paper, we study the Carlitz's degenerate Bernoulli numbers and polynomials and give some formulae and identities related to those numbers and polynomials.
Taekyun Kim +2 more
exaly +4 more sources
Some Identities of Fully Degenerate r-Dowling Polynomials Arising from λ-Umbral Calculus
MathematicsThis paper introduces fully Dowling polynomials of the first and second kinds, which are degenerate versions of the ordinary Dowling polynomials. Then, several important identities for these degenerate polynomials are derived.
Xiaoxue Li, Siqi Dong, Yuankui Ma
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