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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=-9/4





http://functions.wolfram.com/07.23.03.9264.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(9/4), 5, z] == (1/(70801310955375 Pi z^4)) (4096 Sqrt[1 + Sqrt[z]] ((-615296 + 12382832 z - 141253695 z^2 + 1550209430 z^3 + 52834775175 z^4 + 99921358992 z^5 + 34708402911 z^6 + 100278750 z^7 - 7309575 z^8 + 331500 z^9) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - 4 (-153824 + 153824 Sqrt[z] + 2980340 z - 2980340 z^(3/2) - 33096195 z^2 + 33096195 z^(5/2) + 363072710 z^3 - 363072710 z^(7/2) + 4834509225 z^4 - 4834509225 z^(9/2) + 5744123658 z^5 - 5744123658 z^(11/2) + 943863375 z^6 - 943863375 z^(13/2) - 47503950 z^7 + 47503950 z^(15/2) + 3530475 z^8 - 3530475 z^(17/2) - 165750 z^9 + 165750 z^(19/2)) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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