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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=47/8





http://functions.wolfram.com/07.23.03.c2us.01









  


  








Input Form





Hypergeometric2F1[9/8, 47/8, -(5/2), -z] == (1/(228160 (1 + z)^(19/2))) ((-Sqrt[1 + z]) (-228160 - 2663768 z - 16660671 z^2 - 116002248 z^3 + 105865254 z^4 + 31438436 z^5 + 9312625 z^6 + 1866788 z^7 + 178640 z^8) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-57040 - 683767 z - 4365699 z^2 - 645949146 z^3 + 120530090 z^4 + 35872565 z^5 + 10223689 z^6 + 1956108 z^7 + 178640 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