On Integral Relations Involving Products of Spheroidal Functions
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.40
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book explores the integral relations involving products of spheroidal functions, a subject of growing importance in applied mathematics and quantum mechanics. Starting with a general integral theorem for spheroidal functions, the author obtains several integral relations by choosing different kernels and taking various solutions of the spheroidal equations. These relations provide a method of constructing numerical tables and offer valuable insights into the nature of the functions themselves. The author also investigates limiting cases, which lead to a series of integral relations involving products of associated Legendre functions, extending the range of applications of the presented method. Overall, this book deepens our understanding of spheroidal functions and their applications, making it an essential resource for researchers and practitioners in mathematics, physics, and engineering. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…
Seller Inventory # 9781330327869_0
- Title
- On Integral Relations Involving Products of Spheroidal Functions
- Author
- Nicholas Chako
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1330327861
- ISBN 13
- 9781330327869
- Seller catalogs
- Calculus
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.
"Synopsis" may belong to another edition of this title.
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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