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Clausen's Product Identity

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_2F_1(1/4+a,1/4+b;1+a+b;z)_2F_1(1/4-a,1/4-b;1-a-b;z) =_3F_2(1/2,1/2+a-b,1/2-a+b;1+a+b,1-a-b;z),

where _2F_1(a,b;c;z) is a hypergeometric function and _3F_2(a,b,c;d,e;z) is a generalized hypergeometric function.

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References

Koepf, W. Hypergeometric Summation: An Algorithmic Approach to Summation and Special Function Identities. Braunschweig, Germany: Vieweg, p. 118, 1998.

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Clausen's Product Identity

Cite this as:

Weisstein, Eric W. "Clausen's Product Identity." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ClausensProductIdentity.html

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