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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.a7us.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 23/4, 3, -z] == (1/(422463195 Pi z^2)) (64 (1 + z)^(1/4) (2 (-7084 + 207207 z + 13707543 z^2 + 102509940 z^3 + 297949392 z^4 + 413457408 z^5 + 275808000 z^6 + 71285760 z^7) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + 4 Sqrt[1 + z] (1771 - 53130 z - 86337 z^2 + 10598874 z^3 + 61124544 z^4 + 126023040 z^5 + 111171840 z^6 + 35642880 z^7) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (-7084 + 207207 z + 13707543 z^2 + 102509940 z^3 + 297949392 z^4 + 413457408 z^5 + 275808000 z^6 + 71285760 z^7) 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