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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.afbt.01









  


  








Input Form





Hypergeometric2F1[-(7/4), 17/4, 5, -z] == (4096 Sqrt[2] (2 Sqrt[1 + z] (-1344 + 1400 z - 1897 z^2 + 3990 z^3 + 29696 z^4 + 20480 z^5) EllipticE[(-1 + Sqrt[1 + z])/ (1 + Sqrt[1 + z])] + 2 (-1344 + 56 z - 497 z^2 + 2093 z^3 + 33686 z^4 + 50176 z^5 + 20480 z^6) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (-2688 + 784 z - 1505 z^2 + 4851 z^3 + 17728 z^4 + 10240 z^5) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - 2 Sqrt[1 + z] (-1344 + 1400 z - 1897 z^2 + 3990 z^3 + 29696 z^4 + 20480 z^5) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]))/ (98423325 Pi z^4 Sqrt[1 + Sqrt[1 + z]])








Standard Form





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MathML Form







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










Rule Form





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





2007-05-02