Apelblat A. Bessel and Related Functions: Volume 1: Theoretical Aspects

Berlin: Walter de Gruyter, 2020. - 334 p. - (De Gruyter STEM). - ISBN 3110681579.Bessel functions have the peculiarity of being functions of two independent variables: argument and order. They have been studied extensively because of their countless applications, but the vast majority of available literature is devoted to the case of fixed order, variable argument. This two-volume work explores the opposite case.
This volume focuses on properties of the functions and mathematical operations with respect to the order.Preface.
Introduction.
Properties of the Bessel and Related Functions.
Differentiation and Integration with Respect to the Order of the Bessel and Related Functions.
Mathematical Operations with Respect to the Order of the Bessel and Related Functions – Integration, Differentiation, Series and Limits.
References.
App. A The Bessel and Related Functions Integrals.
App. B Limits Representing Special Functions.
App. C Notation and Definitions of Special Functions.
Index.True PDF