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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=-7/8, b>=a > For fixed z and a=-7/8, b=39/8





http://functions.wolfram.com/07.23.03.btu4.01









  


  








Input Form





Hypergeometric2F1[-(7/8), 39/8, -(5/2), z] == (1/(228160 (1 - z)^(13/2))) (2 Sqrt[1 - z] (114080 - 493396 z + 509795 z^2 + 1158625 z^3 - 2869243 z^4 + 2693691 z^5 - 1212640 z^6 + 217360 z^7) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (57040 - 264523 z + 324415 z^2 + 4647669 z^3 - 8156187 z^4 + 6545682 z^5 - 2642640 z^6 + 434720 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