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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.bv38.01









  


  








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) Cosh[(3 ArcSinh[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) Sinh[(3 ArcSinh[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