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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=-3/8, b>=a > For fixed z and a=-3/8, b=25/8





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









  


  










Input Form





Hypergeometric2F1[-(3/8), 25/8, -(23/4), z] == (475456 (1 + Sqrt[1 - z]) - 5168 (769 + 723 Sqrt[1 - z]) z + 136 (106923 + 93623 Sqrt[1 - z]) z^2 - 17 (1783491 + 1434725 Sqrt[1 - z]) z^3 + 68 (573593 + 414497 Sqrt[1 - z]) z^4 - 306 (99721 + 61463 Sqrt[1 - z]) z^5 + 3500028 (3 + Sqrt[1 - z]) z^6 - 46569 (379 + 29 Sqrt[1 - z]) z^7 + 19608 (303 + 10 Sqrt[1 - z]) z^8 - 784320 z^9)/(475456 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (1 - z)^(17/2))










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