Ferrers%20functions
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1: 14.30 Spherical and Spheroidal Harmonics
§14.30 Spherical and Spheroidal Harmonics
… ►Most mathematical properties of can be derived directly from (14.30.1) and the properties of the Ferrers function of the first kind given earlier in this chapter. … ►Herglotz generating function
►The following is the Herglotz generating function … ►2: 26.9 Integer Partitions: Restricted Number and Part Size
§26.9(ii) Generating Functions
…3: Bibliography V
4: Software Index
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20 Theta Functions | |||||||||||||||||||||||||
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Such software ranges from a collection of reusable software parts (e.g., a library) to fully functional interactive computing environments with an associated computing language. Such software is usually professionally developed, tested, and maintained to high standards. It is available for purchase, often with accompanying updates and consulting support.
5: Bibliography C
6: Errata
Over the preceding two months, the subscript parameters of the Ferrers and Legendre functions, and the Laguerre polynomial, , were incorrectly displayed as superscripts. Reported by Roy Hughes on 2022-05-23
The constraints in (14.5.3), (14.5.4) on have been corrected to exclude all negative integers since the Ferrers function of the second kind is not defined for these values.
Reported by Hans Volkmer on 2021-06-02
The right-hand side has been corrected by replacing the Legendre function with the Ferrers function .
The Wronskian was generalized to include both associated Legendre and Ferrers functions.