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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=9/8, b>=a > For fixed z and a=9/8, b=31/8





http://functions.wolfram.com/07.23.03.c2ic.01









  


  








Input Form





Hypergeometric2F1[9/8, 31/8, -(7/2), z] == (1/(206080 (1 - z)^(17/2))) (Sqrt[1 - z] (206080 - 1911760 z + 8412917 z^2 - 25394392 z^3 + 92523710 z^4 + 35765236 z^5 - 4561323 z^6 + 390572 z^7) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (51520 - 494040 z + 2245743 z^2 - 6946368 z^3 + 393236266 z^4 + 37997076 z^5 - 4756609 z^6 + 390572 z^7) Sin[ArcSin[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