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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=17/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 17/4, 2, -z] == (1/(855855 Pi z Sqrt[1 + Sqrt[1 + z]])) (8 Sqrt[2] (Sqrt[1 + z] (3465 + 377152 z + 2176512 z^2 + 3637248 z^3 + 1835008 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + (3465 + 380617 z + 2553664 z^2 + 5813760 z^3 + 5472256 z^4 + 1835008 z^5) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (3465 + 165787 z + 740736 z^2 + 1038336 z^3 + 458752 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - Sqrt[1 + z] (3465 + 377152 z + 2176512 z^2 + 3637248 z^3 + 1835008 z^4) EllipticK[(-1 + Sqrt[1 + z])/(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