Results 11 to 20 of about 3,308 (188)
Frontiers in Physics, 2013 In recent years the umbral calculus has emerged from the shadows to provide an elegant correspondence framework that automatically gives systematic solutions of ubiquitous difference equations --- discretized versions of the differential cornerstones ...
Thomas L Curtright, Cosmas K Zachos
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Umbral calculus and special polynomials [PDF]
, 2013 11 ...
Taekyun Kim, Dae San Kim
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Umbral Calculus and New Trigonometries [PDF]
Proceedings of the 1st International Symposium on Square Bamboos and the Geometree (ISSBG 2022), 2023 Silvia Licciardi
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Identities involving Laguerre polynomials derived from umbral calculus [PDF]
, 2014 In this paper, we investigate some identities of Laguerre polynomials involving Bernoulli and Euler polynomials which are derived from umbral calculus.Comment: 12 ...
T. Kim
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Some identities of degenerate higher-order Daehee polynomials based on λ-umbral calculus
Electronic Research Archive, 2023 The degenerate versions of special polynomials and numbers, initiated by Carlitz, have regained the attention of some mathematicians by replacing the usual exponential function in the generating function of special polynomials with the degenerate ...
Dojin Kim, Sangbeom Park, Jongkyum Kwon
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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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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.
Yun Sang Jo, Park Jin-Woo
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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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