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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=-25/8, b>=a > For fixed z and a=-25/8, b=6





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









  


  










Input Form





Hypergeometric2F1[-(25/8), 6, -(17/8), -z] == (1/2097152) (5 (-((8 (3222643 + 11759540 z + 16497130 z^2 + 10408580 z^3 + 2481115 z^4))/(1 + z)^5) - 81876795 (8 (-(1/25) + z/17 - z^2/9 + z^3) + (-1)^(1/8) z^(25/8) (Log[1 - (-1)^(1/8) z^(1/8)] - Log[1 + (-1)^(1/8) z^(1/8)] + (-1)^(1/4) Log[1 - (-1)^(3/8) z^(1/8)] - (-1)^(1/4) Log[1 + (-1)^(3/8) z^(1/8)] + I Log[1 - (-1)^(5/8) z^(1/8)] - I Log[1 + (-1)^(5/8) z^(1/8)] + (-1)^(3/4) Log[1 - (-1)^(7/8) z^(1/8)] - (-1)^(3/4) Log[1 + (-1)^(7/8) z^(1/8)]))))










Standard Form





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MathML Form







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<power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <cn type='integer'> 9 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <ci> z </ci> <apply> <power /> <cn type='integer'> 17 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <cn type='rational'> 1 <sep /> 25 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02