Tables and Formulae for the Spherical Functions Pm – ½ + i t (Z)
Mathematical Tables Series
- 1st Edition - January 1, 1966
- Imprint: Pergamon
- Authors: M. I. Zhurina, L. N. Karmazina
- Language: English
- Paperback ISBN:9 7 8 - 1 - 4 8 3 1 - 7 8 9 8 - 1
- eBook ISBN:9 7 8 - 1 - 4 8 3 1 - 9 4 7 9 - 0
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ForewordSome 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 TablesReferencesTable 1Table 2Table 3Table 4Table 5Table 6Table 7Table 8List of Volumes in the Mathematical Tables Series
- Edition: 1
- Published: January 1, 1966
- No. of pages (eBook): 116
- Imprint: Pergamon
- Language: English
- Paperback ISBN: 9781483178981
- eBook ISBN: 9781483194790
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