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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=-17/4, b>=a > For fixed z and a=-17/4, b=5/4





http://functions.wolfram.com/07.23.03.aal3.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 5/4, 5, z] == (4096 (2 (42432 + 42432 Sqrt[z] - 312936 z - 312936 z^(3/2) + 962013 z^2 + 962013 z^(5/2) - 1429428 z^3 - 1429428 z^(7/2) + 3806110 z^4 + 3806110 z^(9/2) - 3598364 z^5 - 3598364 z^(11/2) + 1965117 z^6 + 1965117 z^(13/2) - 595056 z^7 - 595056 z^(15/2) + 77616 z^8 + 77616 z^(17/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - (84864 - 647088 z + 2074527 z^2 - 3299088 z^3 + 4038650 z^4 - 3739428 z^5 + 2011471 z^6 - 601524 z^7 + 77616 z^8) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/(8549766225 Pi Sqrt[1 + Sqrt[z]] z^4)








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