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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=-7/8, b>=a > For fixed z and a=-7/8, b=3





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









  


  








Input Form





Hypergeometric2F1[-(7/8), 3, 17/8, z] == -((1/(131072 z^(9/8))) (9 (-1)^(1/4) (-392 (-1)^(3/4) z^(1/8) + 2760 (-1)^(3/4) z^(9/8) + 7 (-1)^(3/4) (-7 - 210 z + 345 z^2) Log[1 - z^(1/8)] + 7 (-1)^(1/4) (-7 - 210 z + 345 z^2) Log[1 - I z^(1/8)] + 49 (-1)^(1/4) Log[1 + I z^(1/8)] + 1470 (-1)^(1/4) z Log[1 + I z^(1/8)] - 2415 (-1)^(1/4) z^2 Log[1 + I z^(1/8)] + 49 (-1)^(3/4) Log[1 + z^(1/8)] + 1470 (-1)^(3/4) z Log[1 + z^(1/8)] - 2415 (-1)^(3/4) z^2 Log[1 + z^(1/8)] - 49 I Log[1 - (-1)^(1/4) z^(1/8)] - 1470 I z Log[1 - (-1)^(1/4) z^(1/8)] + 2415 I z^2 Log[1 - (-1)^(1/4) z^(1/8)] + 49 I Log[1 + (-1)^(1/4) z^(1/8)] + 1470 I z Log[1 + (-1)^(1/4) z^(1/8)] - 2415 I z^2 Log[1 + (-1)^(1/4) z^(1/8)] - 49 Log[1 - (-1)^(3/4) z^(1/8)] - 1470 z Log[1 - (-1)^(3/4) z^(1/8)] + 2415 z^2 Log[1 - (-1)^(3/4) z^(1/8)] + 49 Log[1 + (-1)^(3/4) z^(1/8)] + 1470 z Log[1 + (-1)^(3/4) z^(1/8)] - 2415 z^2 Log[1 + (-1)^(3/4) z^(1/8)])))








Standard Form





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MathML Form







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type='integer'> 1 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 49 </cn> <imaginaryi /> <apply> <ln /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 1 <sep /> 4 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 8 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 49 </cn> <imaginaryi /> <apply> <ln /> <apply> <plus /> <apply> <times /> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 1 <sep /> 4 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 8 </cn> </apply> </apply> <cn type='integer'> 1 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 49 </cn> <apply> <ln /> <apply> <plus /> <cn 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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02