Results 1 to 10 of about 12,918,846 (54)
Umbral Methods and Harmonic Numbers [PDF]
Axioms, 2018 The theory of harmonic-based functions is discussed here within the framework of umbral operational methods. We derive a number of results based on elementary notions relying on the properties of Gaussian integrals.
Giuseppe Dattoli +3 more
doaj +8 more sources
q-Functions and Distributions, Operational and Umbral Methods [PDF]
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
doaj +3 more sources
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
Silvia Licciardi
exaly +3 more sources
Dual Numbers and Operational Umbral Methods [PDF]
Axioms, 2019 Dual numbers and their higher-order version are important tools for numerical computations, and in particular for finite difference calculus. Based on the relevant algebraic rules and matrix realizations of dual numbers, we present a novel point of view,
Ambra Lattanzi +2 more
exaly +3 more sources
Some Identities Involving Appell Polynomials
Quaestiones Mathematicae, 2020 In this paper, by the classical umbral calculus method, we establishidentities involving the Appell polynomials and extend some existing identities.Mathematics Subject Classication (2010): 05A40, 11B68, 70H03.Key words: Classical umbral calculus, Appell ...
Miloud Mihoubi
exaly +1 more source
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
miker83z/umbral-rs: umbral-rs-v0.0.2
, 2022 Rust implementation of Umbral: https://github.com/nucypher ...
Mirko Zichichi
core +1 more source
, 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 +5 more
core +1 more source
Integrals of Special Functions and Umbral Methods [PDF]
, 2021 We derive integrals of combination of Gauss and Bessel functions, by the use of umbral techniques. We show that the method allows the possibility of pursuing new and apparently fruitful avenues in the theory of special functions, displaying interesting ...
Licciardi S. +7 more
core +1 more source
Los políticos de Umbral: retratos poéticos y antipoéticos [PDF]
, 2015 This article addresses the use of poetic features in Francisco Umbral’s work by analysing his portraits of politicians. Although Umbral was not strictly speaking a poet, his texts were written in a very poetic manner, and this can be seen in those ...
Laín Corona, Guillermo
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