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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=-39/8, b>=a > For fixed z and a=-39/8, b=23/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 23/8, -(11/2), z] == -((1/(946176 (1 - z)^(7/2))) (Sqrt[1 - z] (-946176 + 456960 z + 368480 z^2 + 400501 z^3 + 521147 z^4 + 892320 z^5 + 3377440 z^6 - 10460032 z^7 + 5537664 z^8) Cos[ArcSin[Sqrt[z]]/4] + 4 Sqrt[z] (-59136 + 47040 z + 21959 z^2 + 18618 z^3 + 22561 z^4 + 41250 z^5 + 1978812 z^6 - 3307216 z^7 + 1384416 z^8) 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