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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=41/8, b>=a > For fixed z and a=41/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[41/8, 45/8, -(5/2), -z] == (1/(64 (1 + z)^(105/8))) ((64 + 1576 z + 24713 z^2 + 569426 z^3 - 6208917 z^4 + 11496628 z^5 - 5725681 z^6 + 699442 z^7 - 9699 z^8) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (16 + 389 z + 6058 z^2 - 2545257 z^3 + 10042604 z^4 - 9534109 z^5 + 2437306 z^6 - 121631 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