Tables and Formulae for the Spherical Functions Pm – ½ + i t (Z) - 1st Edition - ISBN: 9781483167312, 9781483194790

Tables and Formulae for the Spherical Functions Pm – ½ + i t (Z)

1st Edition

Mathematical Tables Series

Authors: M. I. Zhurina L. N. Karmazina
eBook ISBN: 9781483194790
Imprint: Pergamon
Published Date: 1st January 1966
Page Count: 116
Sales tax will be calculated at check-out Price includes VAT/GST
Price includes VAT/GST
× DRM-Free

Easy - Download and start reading immediately. There’s no activation process to access eBooks; all eBooks are fully searchable, and enabled for copying, pasting, and printing.

Flexible - Read on multiple operating systems and devices. Easily read eBooks on smart phones, computers, or any eBook readers, including Kindle.

Open - Buy once, receive and download all available eBook formats, including PDF, EPUB, and Mobi (for Kindle).

Institutional Access

Secure Checkout

Personal information is secured with SSL technology.

Free Shipping

Free global shipping
No minimum order.


Tables and Formulae for the Spherical Functions Pm – ½ + i t (Z)

Table of Contents


Some Properties of the Functions Pm-1/2+iτ(z)

1. Introduction

2. Definition of the Spherical Functions

3. Representation of the Functions Pm-1/2+iτ(z) by Hypergeometric Series

4. Integral Representations

5. Functional Relationships

6. Expansions in Series of Powers of τ

7. Asymptotic Representations for Large Values of τ

8. Properties of the Zeros of the Spherical Functions

9. Behaviour of the Functions Pm-1/2+iτ(z) in the Neighbourhood of Singular Points

10. Addition Formulae

11. Expansion of an Arbitrary Function in a Series of Functions Pm-1/2+iτ(cosh η)

12. Representation of an Arbitrary Function as an Integral Involving the Functions Pm-1/2+iτ(cosh η)

13. Functions of the Second Kind

14. Examples of the Use of the Functions Pm-1/2+iτ(z) in Problems of Mathematical Physics

Description of the Tables


Table 1

Table 2

Table 3

Table 4

Table 5

Table 6

Table 7

Table 8

List of Volumes in the Mathematical Tables Series


No. of pages:
© Pergamon 1966
eBook ISBN:

About the Author

M. I. Zhurina

L. N. Karmazina

Ratings and Reviews