Tables and Formulae for the Spherical Functions Pm – ½ + i t (Z)
1st Edition
Mathematical Tables Series
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Description
Tables and Formulae for the Spherical Functions Pm – ½ + i t (Z)
Table of Contents
Foreword
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
References
Table 1
Table 2
Table 3
Table 4
Table 5
Table 6
Table 7
Table 8
List of Volumes in the Mathematical Tables Series
Details
- No. of pages:
- 116
- Language:
- English
- Copyright:
- © Pergamon 1966
- Published:
- 1st January 1966
- Imprint:
- Pergamon
- eBook ISBN:
- 9781483194790
About the Authors
M. I. Zhurina
L. N. Karmazina
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