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Ferrers function

From Wikipedia, the free encyclopedia

In mathematics, Ferrers functions are certain special functions defined in terms of hypergeometric functions.[1] They are named after Norman Macleod Ferrers[citation needed].

Definitions

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When the order μ and the degree ν are real and x ∈ (-1,1)

Ferrers function of the first kind
Ferrers function of the second kind

See also

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References

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  1. ^ Olver, Frank W. J.; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W., eds. (2010), "Ferrers Function", NIST Handbook of Mathematical Functions, Cambridge University Press, ISBN 978-0-521-19225-5, MR 2723248.