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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=31/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 31/8, 7/2, z] == (1/(567879543 z^(5/2))) (64 ((-Sqrt[z]) (-4836 - 33449 z - 9373562 z^2 + 54074911 z^3 - 120124840 z^4 + 130726992 z^5 - 70183872 z^6 + 14927616 z^7) Cos[ArcSin[Sqrt[z]]/4] - (1/Sqrt[1 - z]) ((19344 + 120497 z + 1908205 z^2 - 27232469 z^3 + 101599839 z^4 - 177648328 z^5 + 163952976 z^6 - 77647680 z^7 + 14927616 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