Ferrers function
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11: 14.11 Derivatives with Respect to Degree or Order
12: 14.2 Differential Equations
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§14.2(ii) Associated Legendre Equation
… ►Ferrers functions and the associated Legendre functions are related to the Legendre functions by the equations , , , , . … ►Unless stated otherwise in §§14.2–14.20 it is assumed that the arguments of the functions and lie in the interval , and the arguments of the functions , , and lie in the interval . … ►§14.2(iv) Wronskians and Cross-Products
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14.2.5
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13: 14.3 Definitions and Hypergeometric Representations
§14.3 Definitions and Hypergeometric Representations
… ►Ferrers Function of the First Kind
… ►Ferrers Function of the Second Kind
… ►§14.3(iii) Alternative Hypergeometric Representations
… ► …14: 30.8 Expansions in Series of Ferrers Functions
§30.8 Expansions in Series of Ferrers Functions
… ►where is the Ferrers function of the first kind (§14.3(i)), , and the coefficients are given by … ►
30.8.9
►where and are again the Ferrers functions and .
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15: 14.33 Tables
§14.33 Tables
… ►Zhang and Jin (1996, Chapter 4) tabulates for , , 7D; for , , 8D; for , , 8S; for , , 8D; for , , , , 8S; for , , 8S; for , , , 5D; for , , 7S; for , , 8S. Corresponding values of the derivative of each function are also included, as are 6D values of the first 5 -zeros of and of its derivative for , .
Žurina and Karmazina (1963) tabulates the conical functions for , , 7S; for , , 7S. Auxiliary tables are included to assist computation for larger values of when .