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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=31/8, b>=a > For fixed z and a=31/8, b=35/8





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









  


  










Input Form





Hypergeometric2F1[31/8, 35/8, -(17/4), z] == (-2 (-2448 + 39600 z - 325323 z^2 + 1931502 z^3 - 11129745 z^4 + 175226436 z^5 + 405492355 z^6 + 166063166 z^7 + 11387721 z^8) + (1/Sqrt[1 - z]) (4896 - 81648 z + 689634 z^2 - 4178733 z^3 + 24114420 z^4 - 361137447 z^5 - 1027231054 z^6 - 560784603 z^7 - 67030344 z^8 - 853825 z^9))/(4896 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (-1 + z)^12)










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