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Evaluation Of Integrals Of Bessel Functions With Umbral Methods
Reports on Mathematical PhysicsA symbolic method of umbral nature is employed to evaluate a family of infinite integrals containing combinations of various functions, including exponentials, logarithms, and products of Bessel functions of different types. The methods developed in this article are naturally suited for studying integrals, including Macdonald Bessel functions, and ...
Dattoli G., Khan S., Ahmad U.
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Chihara.-Rosenblum polynomials and umbral methods
In this paper we deal with a symbolic reformulation of the theory of Chihara polynomials, we consider in particular a redefinition due to Rosenblum. We show that the umbral method we propose provides a very convenient tool to study the relevant properties and to frame the associated theory within a more general framework.
Germano, Bruna +3 more
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UMBRAL METHODS AND GENERALIZED BESSEL FUNCTIONS
The umbral methods are originated from operational calculus. The umbraloperational methods play an important role in simplifying the theory of special functions.
G. Dattoli +3 more
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Solar Physics, 2008
An improved method of image segmentation is introduced. The object-tracking algorithm, originally developed by Sobotka, Brandt, and Simon (Astron. Astrophys. 328, 682, 1997) is modified with special attentions on splitting and merging of umbral dots (UDs), definition of the umbral boundary, and the birth-frames and the death-frames of UDs.
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An improved method of image segmentation is introduced. The object-tracking algorithm, originally developed by Sobotka, Brandt, and Simon (Astron. Astrophys. 328, 682, 1997) is modified with special attentions on splitting and merging of umbral dots (UDs), definition of the umbral boundary, and the birth-frames and the death-frames of UDs.
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Umbral Treatment and Lacunary Generating Function for Hermite Polynomials
Georgian Mathematical Journal, 2023Umme Zainab
exaly
Operational, Umbral Methods, Borel Transform and Negative Operator Techniques
2019G Dattoli, S Licciardi
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The Umbral Method: A Survey of Elementary Mnemonic and Manipulative Uses
The American Mathematical Monthly, 1979openaire +1 more source

