Results 41 to 50 of about 166,207 (201)
Umbral Calculus and New Trigonometries
Proceedings of the 1st International Symposium on Square Bamboos and the Geometree (ISSBG 2022), 2023 Silvia Licciardi
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On Poly-Bernoulli polynomials of the second kind with umbral calculus viewpoint
Advances in Differential Equations, 2015 Poly-Bernoulli polynomials of the second kind were introduced in Kim et al. (Adv. Differ. Equ. 2014:219, 2014) as a generalization of the Bernoulli polynomial of the second kind. Here we investigate those polynomials and derive further results about them
Dae San Kim +3 more
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Umbral calculus and special polynomials
, 2013 11 ...
Taekyun Kim, Dae San Kim
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Book Review: The umbral calculus [PDF]
Bulletin of the American Mathematical Society, 1985 Doron Zeilberger
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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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Journal of Cardiovascular Electrophysiology, Volume 34, Issue 1, Page 99-107, January 2023., 2023 Abstract Objectives Pulsed electric field (PEF) therapies employ punctuated energy delivery to kill cells in a volume of tissue through mechanisms that are not dependent on thermal processes. A key component to successful cardiac ablation procedures is ensuring the generation of transmural, contiguous ablation zones, which requires in‐depth knowledge ...
Atul Verma +6 more
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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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Congruences via umbral calculus
Notes on Number Theory and Discrete Mathematics, 2022 In this paper, we use the properties of the classical umbral calculus to give some congruences related to the Bell numbers and Bell polynomials. We also present a new congruence involving Appell polynomials with integer coefficients.
A. Benyattou
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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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Representation by Degenerate Genocchi Polynomials
Journal of Mathematics, 2022 The aim of this study is to represent any polynomial in terms of the degenerate Genocchi polynomials and more generally of the higher-order degenerate Genocchi polynomials.
Taekyun Kim +3 more
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