Results 11 to 20 of about 11,604,669 (184)
Solutions of Umbral Dirac-Type Equations
MathematicsThe aim of this work is to study the method of the normalized systems of functions. The normalized systems of functions with respect to the Dirac operator in the umbral Clifford analysis are constructed.
Hongfen Yuan, Valery Karachik
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Reports on Mathematical Physics, 2023 Umbral operational techniques offer sturdy mechanism in the studies of special functions and special polynomials. The techniques of umbral calculus are employed to derive properties of families of exponential-like functions and their hyperbolic forms ...
Silvia Licciardi
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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
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Special Numbers and Polynomials Including Their Generating Functions in Umbral Analysis Methods [PDF]
Axioms, 2018 In this paper, by applying umbral calculus methods to generating functions for the combinatorial numbers and the Apostol type polynomials and numbers of order k, we derive some identities and relations including the combinatorial numbers, the Apostol-Bernoulli polynomials and numbers of order k and the Apostol-Euler polynomials and numbers of order k ...
Yılmaz Şimşek
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Umbral Interpolation: A Survey
MathematicsA survey on recent umbral polynomial interpolation is presented. Some new results are given, following a matrix-determinant approach.
Anna Napoli +2 more
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miker83z/umbral-rs: umbral-rs-v0.0.2
, 2022 Rust implementation of Umbral: https://github.com/nucypher ...
Mirko Zichichi
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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
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Umbral Methods, Combinatorial Identities and Harmonic Numbers
Journal Applied Mathematics, 2012 We analyse and demonstrate how umbral methods can be applied for the study of the problems, involving combinatorial calculus and harmonic numbers. We demonstrate their efficiency and we find the general procedure to frame new and existent identities within a unified framework, amenable of further generalizations.
K. V. Zhukovsky, G. Dattoli
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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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Operator Ordering and Solution of Pseudo-Evolutionary Equations
Axioms, 2019 The solution of pseudo initial value differential equations, either ordinary or partial (including those of fractional nature), requires the development of adequate analytical methods, complementing those well established in the ordinary differential ...
Nicolas Behr +2 more
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