Theory and Applications of Generalized Bessel Functions

Area 02 – Scienze fisiche

This monograph concerns the theory of Generalized Bessel Functions (GBF), which are playing a crucial role in pure and applied mathematics. It is shown that the theory of GBF is the natural complement of that of ordinary BF and provides a common logical framework for other type of special functions which include non standard forms of Hermite polynomials and the Elliptic functions.GBF have been widely exploited in applications concerning classical and quantum radiation theory, crystallography, Nuclear physics, etc. The book contains a detailed description of the use of GBF in classical electromagnetism with particular reference to the theory of synchroton radiation.

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