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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=-1/8, b>=a > For fixed z and a=-1/8, b=35/8





http://functions.wolfram.com/07.23.03.bx1z.01









  


  








Input Form





Hypergeometric2F1[-(1/8), 35/8, -(21/4), z] == (7255872 (1 + Sqrt[1 - z]) - 604656 (115 + 109 Sqrt[1 - z]) z + 17784 (16743 + 14941 Sqrt[1 - z]) z^2 - 513 (1457101 + 1213299 Sqrt[1 - z]) z^3 + 57 (21198365 + 16253924 Sqrt[1 - z]) z^4 - 1254 (1019859 + 701147 Sqrt[1 - z]) z^5 + 117995130 (5 + 2 Sqrt[1 - z]) z^6 - 38335 (11471 + 2893 Sqrt[1 - z]) z^7 + 38335 (4719 + 760 Sqrt[1 - z]) z^8 - 836400 (51 + 4 Sqrt[1 - z]) z^9 + 4460800 z^10)/(7255872 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - z)^(19/2))








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