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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=-7/4, b>=a > For fixed z and a=-7/4, b=17/4





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









  


  








Input Form





Hypergeometric2F1[-(7/4), 17/4, 6, -z] == (16384 Sqrt[2] (Sqrt[1 + z] (-14336 - 10080 z + 8379 z^2 - 9373 z^3 + 15372 z^4 + 73728 z^5 + 40960 z^6) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + (-14336 - 24416 z - 1701 z^2 - 994 z^3 + 5999 z^4 + 89100 z^5 + 114688 z^6 + 40960 z^7) EllipticE[(-1 + Sqrt[1 + z])/ (1 + Sqrt[1 + z])] - (-14336 - 20832 z + 1827 z^2 - 2842 z^3 + 7707 z^4 + 21312 z^5 + 10240 z^6) EllipticK[(-1 + Sqrt[1 + z])/ (1 + Sqrt[1 + z])] - Sqrt[1 + z] (-14336 - 10080 z + 8379 z^2 - 9373 z^3 + 15372 z^4 + 73728 z^5 + 40960 z^6) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]))/ (531485955 Pi z^5 Sqrt[1 + Sqrt[1 + z]])








Standard Form





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MathML Form







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-1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02