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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=31/8





http://functions.wolfram.com/07.23.03.bp5v.01









  


  








Input Form





Hypergeometric2F1[-(15/8), 31/8, -(9/2), -z] == (1/(70656 (1 + z)^(13/2))) (2 Sqrt[1 + z] (35328 + 156032 z + 226918 z^2 + 68471 z^3 - 64285 z^4 + 156377 z^5 + 323895 z^6 + 201344 z^7 + 43472 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (17664 + 83536 z + 135493 z^2 + 60697 z^3 - 31395 z^4 + 591747 z^5 + 838266 z^6 + 446160 z^7 + 86944 z^8) 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