Solved Problems in Analysis: As Applied to Gamma, Beta, Legendre and Bessel Functions (Dover Books on Mathematics) - Softcover

Farrell, Orin J.; Ross, Bertram

Softcover

ISBN 10: 0486493903 ISBN 13: 9780486493909

Publisher: Dover Publications, 2013

Synopsis

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.

About this title

About the Author

Orin J. Farrell was Professor of Mathematics at Union College. Bertram Ross was Professor of Mathematics at New Haven College.

Edition details

• Publisher: Dover Publications
• Publication date: 2013
• Language: English
• ISBN 10: 0486493903
• ISBN 13: 9780486493909
• Binding: Paperback
• Number of pages: 416