§14.3 Definitions and Hypergeometric Representations
Contents
- §14.3(i) Interval
- §14.3(ii) Interval
- §14.3(iii) Alternative Hypergeometric Representations
- §14.3(iv) Relations to Other Functions
§14.3(i) Interval
The following are real-valued solutions of (14.2.2) when , and .
¶ Ferrers Function of the First Kind
14.3.1
¶ Ferrers Function of the Second Kind
exists for all values of and . is undefined when .
§14.3(ii) Interval
¶ Associated Legendre Function of the First Kind
14.3.6
§14.3(iii) Alternative Hypergeometric Representations
14.3.11
14.3.12
where
14.3.13
14.3.14
14.3.15
14.3.16
14.3.17
14.3.18
14.3.19
14.3.20