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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=23/8





http://functions.wolfram.com/07.23.03.c2cb.01









  


  








Input Form





Hypergeometric2F1[9/8, 23/8, -(11/2), -z] == (1/(315392 (1 + z)^(19/2))) ((-Sqrt[1 + z]) (-315392 - 3033856 z - 13284320 z^2 - 35326367 z^3 - 65212634 z^4 - 96111058 z^5 - 186144368 z^6 + 30311177 z^7 + 1478594 z^8) Cosh[ArcSinh[Sqrt[z]]/4] + 2 Sqrt[z] (-39424 - 391552 z - 1773814 z^2 - 4887399 z^3 - 9338271 z^4 - 14085038 z^5 - 312062572 z^6 + 15525237 z^7 + 739297 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