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





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









  


  








Input Form





Hypergeometric2F1[23/4, 23/4, 2, -z] == (1/(138985 Pi z Sqrt[1 + Sqrt[1 + z]])) (8 Sqrt[2] (-(((385 - 35572 z + 141198 z^2 - 96068 z^3 + 9657 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^9) - ((385 - 35572 z + 141198 z^2 - 96068 z^3 + 9657 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^(17/2) + ((385 - 35572 z + 141198 z^2 - 96068 z^3 + 9657 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^9 + ((385 - 537 z - 127646 z^2 + 304294 z^3 - 127427 z^4 + 7315 z^5) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^(19/2)))








Standard Form





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MathML Form







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










Rule Form





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





2007-05-02