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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=39/8





http://functions.wolfram.com/07.23.03.c2oj.01









  


  








Input Form





Hypergeometric2F1[9/8, 39/8, -(5/2), -z] == (1/(228160 (1 + z)^(17/2))) (-4 Sqrt[1 + z] (-57040 - 583234 z - 3136487 z^2 - 18413938 z^3 + 12948442 z^4 + 2914210 z^5 + 577941 z^6 + 58058 z^7) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-57040 - 601059 z - 3311172 z^2 - 377731626 z^3 + 57347732 z^4 + 12783693 z^5 + 2427880 z^6 + 232232 z^7) 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