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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/07.23.03.9728.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 9/4, 4, z] == (1/(704105325 Pi z^3)) (256 (-2 Sqrt[1 - z] (-153824 + 418209 z + 706629 z^2 - 7657949 z^3 + 18131415 z^4 - 21657408 z^5 + 14499328 z^6 - 5210112 z^7 + 786432 z^8) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (-153824 + 533577 z + 403788 z^2 - 2711546 z^3 + 5679180 z^4 - 6281223 z^5 + 3965824 z^6 - 1357824 z^7 + 196608 z^8) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (-153824 + 418209 z + 706629 z^2 - 7657949 z^3 + 18131415 z^4 - 21657408 z^5 + 14499328 z^6 - 5210112 z^7 + 786432 z^8) EllipticK[(1/2) (1 - 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