Results 1 to 10 of about 11,604,669 (184)
Identities involving 3-variable Hermite polynomials arising from umbral method [PDF]
Advances in Difference Equations, 2020 In 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
Nusrat Raza +3 more
doaj +6 more sources
Integrals of Special Functions and Umbral Methods [PDF]
International Journal of Applied and Computational Mathematics, 2021 AbstractWe 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 links with the theory and the formalism of integral transforms.
Dattoli G. +3 more
exaly +8 more sources
From Circular to Bessel Functions: A Transition through the Umbral Method [PDF]
Fractal and Fractional, 2017 A common environment in which to place Bessel and circular functions is envisaged. We show, by the use of operational methods, that the Gaussian provides the umbral image of these functions.
Giuseppe Dattoli +3 more
doaj +7 more sources
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.
Dattoli G. +3 more
exaly +20 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, embedding dual numbers within a formalism reminiscent of operational umbral calculus.
Nicolas Behr +3 more
exaly +7 more sources
Voigt Transform and Umbral Image
Mathematical and Computational Applications, 2020 In this paper, we show that the use of methods of an operational nature, such as umbral calculus, allows achieving a double target: on one side, the study of the Voigt function, which plays a pivotal role in spectroscopic studies and in other ...
Silvia Licciardi +3 more
doaj +3 more sources
Arquivos Brasileiros de Cardiologia, 2011 FUNDAMENTO: A detecção do limiar anaeróbico (LA) pela análise da variabilidade da frequência cardíaca (LiVFC) pode significar uma nova maneira de avaliação da capacidade funcional cardiorrespiratória (CFCR) em pré-adolescentes.
Mário Augusto Paschoal +1 more
doaj +2 more sources
Operational Versus Umbral Methods and the Borel Transform [PDF]
International Journal of Applied and Computational Mathematics, 2017 Integro-differential methods, currently exploited in calculus, provide an inexhaustible source of tools to be applied to a wide class of problems, involving the theory of special functions and other subjects. The use of integral transforms of the Borel type and the associated formalism is shown to be a very effective mean, constituting a solid bridge ...
Dattoli, G. +5 more
openaire +3 more sources
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
Gaceta Sanitaria, 2022 Resumen: Objetivo: Analizar la composición por sexo de los comités de personas expertas creados para la gestión y la toma de decisiones políticas durante la pandemia de COVID-19 en España.
Amaia Bacigalupe +3 more
doaj +1 more source