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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=3/8, b>=a > For fixed z and a=3/8, b=31/8





http://functions.wolfram.com/07.23.03.bz2o.01









  


  








Input Form





Hypergeometric2F1[3/8, 31/8, -(21/4), z] == (1/(175168 2^(1/4) (-1 + z)^9)) ((1 + Sqrt[1 - z])^(1/4) (-87584 + 807024 z - 3341762 z^2 + 8236645 z^3 - 13625200 z^4 + 16996678 z^5 + 4028042 z^6 - 844451 z^7 + 85840 z^8 + (1/Sqrt[1 - z]) (2 (-43792 + 425408 z - 1867163 z^2 + 4906061 z^3 - 8686410 z^4 + 11479714 z^5 - 38292151 z^6 + 9203121 z^7 - 1806932 z^8 + 171680 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