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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=-15/4, b>=a > For fixed z and a=-15/4, b=1/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 1/4, 4, z] == (1/(4542615 Pi z^3)) (256 (-2 Sqrt[1 - z] (-160 + 1395 z - 6705 z^2 - 9847 z^3 + 3717 z^4 - 1008 z^5 + 128 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (-160 + 1515 z - 7740 z^2 + 30578 z^3 + 996 z^4 - 261 z^5 + 32 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (-160 + 1395 z - 6705 z^2 - 9847 z^3 + 3717 z^4 - 1008 z^5 + 128 z^6) EllipticK[(1/2) (1 - 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