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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=21/4, b>=a > For fixed z and a=21/4, b=23/4





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









  


  








Input Form





Hypergeometric2F1[21/4, 23/4, 1, -z] == (1/(14549535 Pi (1 + z)^(39/4))) (2 (8 (7759469 - 112631884 z + 262344846 z^2 - 133981260 z^3 + 11764845 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - (31037876 + 16488341 Sqrt[1 + z] + 45 z^4 (1045764 + 48841 Sqrt[1 + z]) - 60 z^3 (8932084 + 1292853 Sqrt[1 + z]) - 4 z (112631884 + 42066427 Sqrt[1 + z]) + 6 z^2 (174896564 + 43993205 Sqrt[1 + z])) EllipticK[1/2 - 1/(2 Sqrt[1 + z])]))








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