Results 11 to 20 of about 144 (134)
Study of degenerate derangement polynomials by λ-umbral calculus
Demonstratio Mathematica, 2023 In the 1970s, Rota began to build completely rigid foundations for the theory of umbral calculus based on relatively modern ideas of linear functions and linear operators.
Sang Jo Yun, Jin-Woo Park
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Umbral Calculus and the Frobenius-Euler Polynomials [PDF]
Abstract and Applied Analysis, 2013 We study some properties of umbral calculus related to the Appell sequence. From those properties, we derive new and interesting identities of the Frobenius-Euler polynomials.
Dae San Kim, Taekyun Kim, Sang-Hun Lee
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Baxter Algebras and the Umbral Calculus
Advances in Applied Mathematics, 2001 This papers aims to unite two mathematical areas championed by G.-C. Rota: umbral calculus and Baxter algebras. The umbral calculus refers to algebraic combinatorics of sequences of polynomials of binomial type and other related sequences. Rota showed how this is encapsulated by a certain `umbral algebra' consisting of linear functionals on these ...
Li Guo
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On the type 2 poly-Bernoulli polynomials associated with umbral calculus
Open Mathematics, 2021 Type 2 poly-Bernoulli polynomials were introduced recently with the help of modified polyexponential functions. In this paper, we investigate several properties and identities associated with those polynomials arising from umbral calculus techniques.
Taekyun Kim +2 more
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A note on some identities of derangement polynomials [PDF]
Journal of Inequalities and Applications, 2018 The problem of counting derangements was initiated by Pierre Rémond de Montmort in 1708 (see Carlitz in Fibonacci Q. 16(3):255–258, 1978, Clarke and Sved in Math. Mag. 66(5):299–303, 1993, Kim, Kim and Kwon in Adv. Stud. Contemp. Math. (Kyungshang) 28(1):
Taekyun Kim +3 more
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Ultrametric umbral calculus in characteristic $p$
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Identities of Degenerate Poly-Changhee Polynomials Arising from λ-Sheffer Sequences
Journal of Mathematics, 2022 In the 1970s, Gian-Carlo Rota constructed the umbral calculus for investigating the properties of special functions, and by Kim-Kim, umbral calculus is generalized called λ-umbral calculus.
Sang Jo Yun, Jin-Woo Park
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A note on infinite series whose terms involve truncated degenerate exponentials
Applied Mathematics in Science and Engineering, 2023 The degenerate exponentials are degenerate versions of the ordinary exponential and the truncated degenerate exponentials are obtained from the Taylor expansions of them by truncating the first finitely many terms.
Dae San Kim, Hyekyung Kim, Taekyun Kim
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q-Functions and Distributions, Operational and Umbral Methods
Mathematics, 2021 The use of non-standard calculus means have been proven to be extremely powerful for studying old and new properties of special functions and polynomials.
Giuseppe Dattoli +3 more
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Representations by degenerate Daehee polynomials
Open Mathematics, 2022 In this paper, we consider the problem of representing any polynomial in terms of the degenerate Daehee polynomials and more generally of the higher-order degenerate Daehee polynomials.
Kim Taekyun +3 more
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