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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=45/8





http://functions.wolfram.com/07.23.03.c2sf.01









  


  








Input Form





Hypergeometric2F1[9/8, 45/8, -(15/4), z] == (1/(1321936 2^(3/4) (-1 + z)^10)) ((1 + Sqrt[1 - z])^(3/4) (4 (165242 - 1900283 z + 10590510 z^2 - 40864132 z^3 - 2009046590 z^4 - 68424471 z^5 + 16426094 z^6 - 2830610 z^7 + 239568 z^8) + (1/Sqrt[1 - z]) (660968 - 7931616 z + 46079985 z^2 - 183728717 z^3 + 9424607586 z^4 + 2250814086 z^5 - 439278587 z^6 + 100458135 z^7 - 16187952 z^8 + 1277696 z^9)))








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