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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=-9/8, b>=a > For fixed z and a=-9/8, b=35/8





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









  


  








Input Form





Hypergeometric2F1[-(9/8), 35/8, -(21/4), z] == (806208 (1 + Sqrt[1 - z]) - 201552 (31 + 29 Sqrt[1 - z]) z + 5928 (3447 + 2971 Sqrt[1 - z]) z^2 - 57 (622003 + 479445 Sqrt[1 - z]) z^3 + 228 (139308 + 87569 Sqrt[1 - z]) z^4 + 746130 (-9 + Sqrt[1 - z]) z^5 - 213180 (39 + 31 Sqrt[1 - z]) z^6 + 935 (16259 + 6085 Sqrt[1 - z]) z^7 - 18700 (537 + 116 Sqrt[1 - z]) z^8 + 326400 (10 + Sqrt[1 - z]) z^9 - 435200 z^10)/(806208 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (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