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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.a7v2.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 23/4, 5, -z] == (1/(64073584575 Pi z^4)) (4096 (1 + z)^(1/4) (2 (-2944 + 17296 z - 104167 z^2 + 996590 z^3 + 27820065 z^4 + 122927532 z^5 + 237440112 z^6 + 235412736 z^7 + 117960960 z^8 + 23761920 z^9) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + 4 Sqrt[1 + z] (736 - 4876 z + 29785 z^2 - 272090 z^3 + 1074255 z^4 + 19659822 z^5 + 61134528 z^6 + 81045120 z^7 + 50069760 z^8 + 11880960 z^9) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (-2944 + 17296 z - 104167 z^2 + 996590 z^3 + 27820065 z^4 + 122927532 z^5 + 237440112 z^6 + 235412736 z^7 + 117960960 z^8 + 23761920 z^9) EllipticK[1/2 - 1/(2 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