Author : M. I. Zhurina
Publisher : Elsevier
ISBN 13 : 1483148254
Total Pages : 327 pages
Book Rating : 4.50/5 ( download)
Book Synopsis Tables of The Legendre Functions P—1⁄2+it(x) by : M. I. Zhurina
Download or read book Tables of The Legendre Functions P—1⁄2+it(x) written by M. I. Zhurina and published by Elsevier. This book was released on 2016-06-06 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tables of the Legendre Functions P–1⁄2+it (X), Part I tabulates in detail the Legendre spherical functions of the first kind Pv(x) with complex index v = – 1⁄2 + it and real values of X > – 1. P–1⁄2+it (X) plays an important role in mathematical physics and are used in solving boundary value problems in potential theory for domains bounded by cones, hyperboloids of revolution, two intersecting spheres, or other second order surfaces. These Legendre functions are also of theoretical interest in connection with the Meler-Fok integral expansion. This book is devoted to the tables of P–1⁄2+it (X) and coefficients in the asymptotic formula. Some properties of the functions P–1⁄2+it (X) and description of the tables are also discussed. This publication is a good source for mathematical physicists and students conducting work on Legendre functions P–1⁄2+it (X).