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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=-15/8, b>=a > For fixed z and a=-15/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[-(15/8), 45/8, -(7/2), -z] == (1/(1922816 (1 + z)^(57/8))) ((1922816 + 7845776 z + 7183735 z^2 - 5565651 z^3 + 21774389 z^4 + 102707839 z^5 + 154043344 z^6 + 115731840 z^7 + 44537856 z^8 + 7028736 z^9) Cos[ArcTan[Sqrt[z]]/4] - Sqrt[z] (-480704 - 1811224 z - 1269359 z^2 + 1659931 z^3 + 17622995 z^4 + 31251649 z^5 + 25769184 z^6 + 10585344 z^7 + 1757184 z^8) 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