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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.c2uo.01









  


  








Input Form





Hypergeometric2F1[9/8, 47/8, -(7/2), -z] == (1/(1277696 (1 + z)^(21/2))) ((-Sqrt[1 + z]) (-1277696 - 15229680 z - 89135695 z^2 - 373574211 z^3 - 1977116202 z^4 + 1388421226 z^5 + 347185245 z^6 + 88442025 z^7 + 15532748 z^8 + 1321936 z^9) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-319424 - 3907240 z - 23431319 z^2 - 99876327 z^3 - 10013302562 z^4 + 1551877754 z^5 + 389547285 z^6 + 96043157 z^7 + 16193716 z^8 + 1321936 z^9) 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