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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 4 and fixed z > For fixed z and a=1, b>=a > For fixed z and a=1, b=1





http://functions.wolfram.com/07.23.03.ajc6.01









  


  








Input Form





Hypergeometric2F1[1, 1, 7/4, z] == (1/(4 z)) (3 (z/(-1 + z))^(1/4) (Log[1 - (z/(-1 + z))^(1/4)] + I Log[1 - I (z/(-1 + z))^(1/4)] - I Log[1 + I (z/(-1 + z))^(1/4)] - Log[1 + (z/(-1 + z))^(1/4)])) /; !IntervalMemberQ[Interval[{1, Infinity}], z]








Standard Form





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MathML Form







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Rule Form





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Contributed by





Brychkov Yu.A. (2006)


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





2007-05-02