Results 11 to 20 of about 160,501 (202)
Extended r-central Bell polynopmials with umbral calculus viewpoint [PDF]
Advances in Difference Equations, 2019 Recently, extended r-central factorial numbers of the second kind and extended r-central Bell polynomials were introduced and various results of them were investigated.
Lee-Chae Jang +3 more
doaj +4 more sources
Maple umbral calculus package [PDF]
, 1995 We are developing a Maple package of functions related to Rota's Umbral Calculus.
Bottreau, Anne +2 more
core +6 more sources
An infinite dimensional umbral calculus [PDF]
Journal of Functional Analysis, 2017 The aim of this paper is to develop foundations of umbral calculus on the space $\mathcal D'$ of distributions on $\mathbb R^d$, which leads to a general theory of Sheffer polynomial sequences on $\mathcal D'$. We define a sequence of monic polynomials on $\mathcal D'$, a polynomial sequence of binomial type, and a Sheffer sequence.
D. Finkelshtein +3 more
semanticscholar +7 more sources
Umbral Calculus and New Trigonometries [PDF]
Proceedings of the 1st International Symposium on Square Bamboos and the Geometree (ISSBG 2022), 2023 Silvia Licciardi
semanticscholar +4 more sources
SOME IDENTITIES OF FULLY DEGENERATE DOWLING AND FULLY DEGENERATE BELL POLYNOMIALS ARISING FROM λ-UMBRAL CALCULUS [PDF]
Fractals, 2021 Recently, Kim–Kim introduced the [Formula: see text]-umbral calculus, in which the [Formula: see text]-Sheffer sequences occupy the central position. In this paper, we introduce the fully degenerate Bell and the fully degenerate Dowling polynomials, and ...
Yuankui Ma +3 more
semanticscholar +2 more sources
Applications of Umbral Calculus Associated with p-Adic Invariant Integrals on Zp [PDF]
Abstract and Applied Analysis, 2012 Recently, Dere and Simsek (2012) have studied the applications of umbral algebra to some special functions. In this paper, we investigate some properties of umbral calculus associated with p-adic invariant integrals on Zp.
Dae San Kim, Taekyun Kim
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Degenerate Catalan-Daehee numbers and polynomials of order r arising from degenerate umbral calculus
AIMS Mathematics, 2022 Many mathematicians have studied degenerate versions of some special polynomials and numbers that can take into account the surrounding environment or a person's psychological burden in recent years, and they've discovered some interesting results ...
Hye Kyung Kim, Dmitry V. Dolgy
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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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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
doaj +2 more sources
Quantum mechanics and umbral calculus [PDF]
Journal of Physics: Conference Series, 2008 In this paper we present the first steps for obtaining a discrete Quantum Mechanics making use of the Umbral Calculus. The idea is to discretize the continuous Schroedinger equation substituting the continuous derivatives by discrete ones and the space-time continuous variables by well determined operators that verify some Umbral Calculus conditions ...
Lopez-Sendino, E. +3 more
openaire +3 more sources