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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.c2ce.01









  


  








Input Form





Hypergeometric2F1[9/8, 23/8, -(9/2), z] == (1/(7168 (1 - z)^(17/2))) (2 Sqrt[1 - z] (3584 - 31360 z + 124930 z^2 - 306803 z^3 + 562448 z^4 - 1287122 z^5 - 251082 z^6 + 13949 z^7) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (1792 - 16240 z + 67127 z^2 - 170978 z^3 + 321986 z^4 - 9087120 z^5 - 516113 z^6 + 27898 z^7) Sin[ArcSin[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