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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a>0 > For fixed z and a=1/8, b>=a > For fixed z and a=1/8, b=5/8





http://functions.wolfram.com/07.23.03.bxd2.01









  


  








Input Form





Hypergeometric2F1[1/8, 5/8, -(11/2), -z] == (1/(45056 (1 + z)^(49/8))) ((45056 + 275200 z + 703520 z^2 + 966119 z^3 + 756335 z^4 + 326265 z^5 + 69745 z^6) Cos[ArcTan[Sqrt[z]]/4] + 2 Sqrt[z] (5632 + 32640 z + 78202 z^2 + 98765 z^3 + 68860 z^4 + 24825 z^5) Sin[ArcTan[Sqrt[z]]/4])








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02