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Solved Problems in Analysis: As Applied to Gamma, Beta, Legendre and Bessel Functions by Orin J. Farrell, Bertram Ross

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About this book :-
Solved Problems in Analysis: As Applied to Gamma, Beta, Legendre and Bessel Functions written by Orin J. Farrell, Bertram Ross.
This book consists of a selection of problems, each with a solution worked out in detail, dealing with the properties and applications of the Gamma function and the Beta function, the Legendre polynomials and the Bessel functions, For those problems which involved more than mere choice of a suitable formula.
Nearly 200 problems, each with a detailed, worked-out solution, deal with the properties and applications of the gamma and beta functions, Legendre polynomials, and Bessel functions. The first two chapters examine gamma and beta functions, including applications to certain geometrical and physical problems such as heat-flow in a straight wire. The following two chapters treat Legendre polynomials, addressing applications to specific series expansions, steady-state heat-flow temperature distribution, gravitational potential of a circular lamina, and application of Gauss's mechanical quadrature formula with pertinent table. The final chapters explore Bessel functions, discussing differentiation formulas, generating functions, relations to Legendre polynomials, and other applications.
This volume constitutes a useful tool for professional engineers and experimental physicists. Students of mathematics, physics, and engineering will particularly benefit from the book's expanded solutions.

Book Detail :-
Title: Solved Problems in Analysis: As Applied to Gamma, Beta, Legendre and Bessel Functions
Edition:
Author(s): Orin J. Farrell, Bertram Ross
Publisher: CRC Press
Series: Dover Publications
Year: 2013
Pages: 245
Type: PDF
Language: English
ISBN: 0486493903,9780486493909
Country:
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About Author :-
Orin Farrell, Union College and Bertram Ross, New Haven College.


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Book Contents .-
Solved Problems in Analysis: As Applied to Gamma, Beta, Legendre and Bessel Functions written by Orin J. Farrell, Bertram Ross cover the following topics.
1. The Gamma Function and the Beta Function
2. Applications of the Gamma Function and the Beta Function
3. Legendre Ploynomials
4. Application of Legendre Ploynomials
5. Bessel Functions
6. Application of Bessel Functions


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