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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=-5/8, b>=a > For fixed z and a=-5/8, b=37/8





http://functions.wolfram.com/07.23.03.bv37.01









  


  








Input Form





Hypergeometric2F1[-(5/8), 37/8, -(9/2), z] == (1/(1870848 (1 - z)^(17/2))) (2 Sqrt[1 - z] (935424 - 7145600 z + 23064106 z^2 - 39338471 z^3 + 32421536 z^4 + 14184422 z^5 - 21767890 z^6 + 13576233 z^7 - 4346448 z^8 + 581808 z^9) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (1403136 - 10923024 z + 36031369 z^2 - 63167278 z^3 + 54711342 z^4 + 47240528 z^5 - 56098127 z^6 + 31353462 z^7 - 9274704 z^8 + 1163616 z^9) Sin[(3 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