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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=25/8, b>=a > For fixed z and a=25/8, b=29/8





http://functions.wolfram.com/07.23.03.c9jw.01









  


  








Input Form





Hypergeometric2F1[25/8, 29/8, -(9/2), -z] == (1/(64512 (1 + z)^(89/8))) ((64512 + 878080 z + 5856500 z^2 + 26656773 z^3 + 104901225 z^4 + 635356722 z^5 - 1495245050 z^6 + 419964345 z^7 - 10407027 z^8) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (16128 + 214480 z + 1398423 z^2 + 6244095 z^3 + 24380070 z^4 - 1349264722 z^5 + 1009340755 z^6 - 99744237 z^7) Sin[ArcTan[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