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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=-23/8, b>=a > For fixed z and a=-23/8, b=-1/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), -(1/8), 11/2, -z] == -((1024 (Sqrt[z] Sqrt[1 + z] (-51520 - 494040 z - 2245743 z^2 - 6946368 z^3 - 393236266 z^4 + 37997076 z^5 + 4756609 z^6 + 390572 z^7) Cosh[ArcSinh[Sqrt[z]]/4] + (206080 + 2117840 z + 10324677 z^2 + 33807309 z^3 + 117918102 z^4 + 56758474 z^5 - 40326559 z^6 - 4951895 z^7 - 390572 z^8) Sinh[ArcSinh[Sqrt[z]]/4]))/ (377207225967 z^(9/2) Sqrt[1 + z]))








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