Results 11 to 20 of about 12,776,695 (181)
Operational, umbral methods, Borel transform and negative derivative operator techniques
Integral Transforms and Special Functions, 2020 Differintegral methods, namely those techniques using differential and integral operators on the same footing, currently exploited in calculus, provide a fairly unexhausted source of tools to be applied to a wide class of problems involving the theory of special functions and not only.
G. Dattoli, S. Licciardi
exaly +7 more sources
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
doaj +2 more sources
Identities involving 3-variable Hermite polynomials arising from umbral method [PDF]
Advances in Difference Equations, 2020 AbstractIn this paper, we employ an umbral method to reformulate the 3-variable Hermite polynomials and introduce the 4-parameter 3-variable Hermite polynomials. We also obtain some new properties for these polynomials. Moreover, some special cases are discussed and some concluding remarks are also given.
Araci, Serkan +4 more
openaire +4 more sources
An instance of umbral methods in representation theory: the parking function module
, 2008 We test the umbral methods introduced by Rota and Taylor within the theory of representation of symmetric group. We define a simple bijection between the set of all parking functions of length $n$ and the set of all noncrossing partitions of $\{1,2,...,n\}$.
PASQUALE PETRULLO +1 more
core +4 more sources
Umbral Calculus and New Trigonometries [PDF]
, 2023 The present work proposes an overview of the Umbral calculus and of its wide range of applicability. The aim is to provide new tools, embedding umbral, symbolic and operatorial methods to be exploited in pure and applied Mathematics, in the research ...
Silvia Licciardi
core +1 more source
The dependence of the magnetic field strength of a sunspot umbra on its intensity and brightness temperature [PDF]
Iranian Journal of Astronomy and Astrophysics, 2017 A partial decrease of the convective energy by the magnetic field of a sunspot causes the temperature of the magnetized plasma to decrease and this leads to a magneto-hydrostatic equilibrium.
Hashem Hamedivafa
doaj +1 more source
miker83z/umbral-rs: umbral-rs-v0.0.2
, 2022 Rust implementation of Umbral: https://github.com/nucypher ...
Mirko Zichichi
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Some Properties and Generating Functions of Generalized Harmonic Numbers
Mathematics, 2019 In this paper, we introduce higher-order harmonic numbers and derive their relevant properties and generating functions by using an umbral-type method.
Giuseppe Dattoli +3 more
doaj +1 more source
Degenerate Lah–Bell polynomials arising from degenerate Sheffer sequences
Advances in Difference Equations, 2020 Umbral calculus is one of the important methods for obtaining the symmetric identities for the degenerate version of special numbers and polynomials. Recently, Kim–Kim (J. Math. Anal. Appl.
Hye Kyung Kim
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Refinements of the Bell and Stirling numbers [PDF]
Transactions on Combinatorics, 2018 We introduce new refinements of the Bell, factorial, and unsigned Stirling numbers of the first and second kind that unite the derangement, involution, associated factorial, associated Bell, incomplete Stirling, restricted factorial ...
Tanay Wakhare
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