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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=33/8, b>=a > For fixed z and a=33/8, b=37/8





http://functions.wolfram.com/07.23.03.cc1q.01









  


  








Input Form





Hypergeometric2F1[33/8, 37/8, -(15/4), z] == (1/(11600 2^(3/4) (-1 + z)^12)) ((1 + Sqrt[1 - z])^(3/4) (-4 (-1450 + 24505 z - 218370 z^2 + 1529025 z^3 + 386896602 z^4 + 706295835 z^5 + 263067282 z^6 + 17089707 z^7) + (1/Sqrt[1 - z]) (5800 - 100920 z + 921765 z^2 - 6540950 z^3 + 1659461883 z^4 + 3660968436 z^5 + 1809832107 z^6 + 204581946 z^7 + 2513325 z^8)))








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