Title: On Integral Relations Involving Products of Spheroidal Functions Classic Reprint
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 1330327861
ISBN 13: 9781330327869
Binding: PAP
Condition: New
Weight: 132 grams

About this title

Synopsis

Explore new integral relations for spheroidal functions and their practical uses.

This book presents a general method for deriving integral relations involving products of spheroidal functions using a carefully chosen kernel and solutions of the time-harmonic wave equation. It shows how these relations can reveal nontrivial connections between function families and their coefficients.

Readers will see how to apply operator theory that commutes with the Laplacian to generate meaningful identities. The work also studies limiting cases that connect spheroidal behavior to associated Legendre functions, with attention to recurrence-like structures and explicit coefficient expressions. Applications in diffraction problems and quantum mechanics are discussed, alongside comparisons to other well-known special functions.

The edition organizes the theory around key themes:

derivation of integral relations from a unified integral framework
construction of kernels using angular and linear momentum operator combinations
limiting cases linking spheroidal and Legendre functions
explicit formulas and their implications for numerical tables

Ideal for researchers and students in applied mathematics and mathematical physics who work with spheroidal functions, wave equations, and related special functions.

"About this title" may belong to another edition of this title.

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