In this paper we will discuss the treat involving various forms of generalized Bessel functions of two-variable, in particular by outlining the linking between the second order differential equation of Bessel type and the different kinds of Bessel functions themselves. Furthermore, by using the formalism of the shift operators, we will present the Bessel operator and we will show how it can be useful to simplify the study of many properties related to Bessel functions.

A note on Generalized Bessel Functions

Cesarano C;
2013-01-01

Abstract

In this paper we will discuss the treat involving various forms of generalized Bessel functions of two-variable, in particular by outlining the linking between the second order differential equation of Bessel type and the different kinds of Bessel functions themselves. Furthermore, by using the formalism of the shift operators, we will present the Bessel operator and we will show how it can be useful to simplify the study of many properties related to Bessel functions.
2013
Bessel Functions
Orthogonal Polynomials
Hermite Polynomials
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14086/1672
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