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Evaluation Of Integrals Of Bessel Functions With Umbral Methods

Reports on Mathematical Physics
A 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.
openaire   +4 more sources

Chihara.-Rosenblum polynomials and umbral methods

open access: yes, 2017
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
openaire   +2 more sources

UMBRAL METHODS AND GENERALIZED BESSEL FUNCTIONS

open access: yesTurkic World Mathematical Society (TWMS) Journal of Pure and Applied Mathematics
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
openaire   +2 more sources

Application of an Improved Method of Image Segmentation and Some Considerations on Identification and Tracking of Umbral Dots

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.
openaire   +1 more source

Methods for Determining the Umbral Boundary: The Strength and Inclination of a Magnetic Field at a Boundary

Geomagnetism and Aeronomy, 2022
V. I. Efremov   +3 more
openaire   +1 more source

Umbral Treatment and Lacunary Generating Function for Hermite Polynomials

Georgian Mathematical Journal, 2023
Umme Zainab
exaly  

On Umbral Properties of a Family of Hyperbolic-Like Functions Appearing in Magnetic Transport Problem

Reports on Mathematical Physics, 2023
Silvia Licciardi, Giuseppe Dattoli
exaly  

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