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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=21/4





http://functions.wolfram.com/07.23.03.a7sr.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 21/4, 1, -z] == (2 Sqrt[2] ((728420683 + 16601703072 z + 98013382656 z^2 + 229588860928 z^3 + 232003731456 z^4 + 84557168640 z^5) (1 + z + Sqrt[1 + z]) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (393781378 + 728420683 Sqrt[1 + z] + 21139292160 z^5 (1 + 4 Sqrt[1 + z]) + 528482304 z^4 (121 + 439 Sqrt[1 + z]) + 458752 z^3 (154735 + 500464 Sqrt[1 + z]) + 10752 z^2 (3237883 + 9115828 Sqrt[1 + z]) + 24 z (292715817 + 691737628 Sqrt[1 + z])) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]))/ (334639305 Pi Sqrt[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