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Skip to main content# Tables of The Legendre Functions P—½+it(x)

## Mathematical Tables Series

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1st Edition - January 1, 1964

Authors: M. I. Zhurina, L. N. Karmazina

Language: EnglisheBook ISBN:

9 7 8 - 1 - 4 8 3 1 - 4 8 2 5 - 0

Tables of the Legendre Functions P–½+iτ (X), Part I tabulates in detail the Legendre spherical functions of the first kind Pv(x) with complex index v = – ½ + iτ and real values of… Read more

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Tables of the Legendre Functions P–½+iτ (X), Part I tabulates in detail the Legendre spherical functions of the first kind Pv(x) with complex index v = – ½ + iτ and real values of X > – 1. P–½+iτ (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–½+iτ (X) and coefficients in the asymptotic formula. Some properties of the functions P–½+iτ (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–½+iτ (X).

ForewordIntroductionReferencesTables of P-½+it (x) for x = -0.9 (0.1) 0.9; τ = 0.00 (0.01) 50.00Coefficients in the Asymptotic FormulaList of Volumes in the Mathematical Tables Series

- No. of pages: 326
- Language: English
- Edition: 1
- Published: January 1, 1964
- Imprint: Pergamon
- eBook ISBN: 9781483148250