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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=-15/8, b>=a > For fixed z and a=-15/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[-(15/8), 47/8, -(9/2), -z] == (1/(2190336 (1 + z)^(17/2))) (4 Sqrt[1 + z] (547584 + 3057344 z + 5850165 z^2 + 2650934 z^3 - 2984618 z^4 + 9602684 z^5 + 34935681 z^6 + 44007590 z^7 + 28677308 z^8 + 9767824 z^9 + 1384416 z^10) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (547584 + 3228464 z + 6732859 z^2 + 4115436 z^3 - 2725086 z^4 + 92072828 z^5 + 215644891 z^6 + 228847168 z^7 + 133552672 z^8 + 41840128 z^9 + 5537664 z^10) Sinh[ArcSinh[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