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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=-3/4





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









  


  










Input Form





Hypergeometric2F1[-(17/4), -(3/4), 6, z] == -((1/(138241170092025 Pi z^5)) (16384 Sqrt[1 + Sqrt[z]] ((-1357824 + 17800224 z - 114674469 z^2 + 513972849 z^3 - 2206643010 z^4 - 20791185382 z^5 - 6104500633 z^6 + 559818413 z^7 - 62990928 z^8 + 4037880 z^9) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (1357824 - 1357824 Sqrt[z] - 16781856 z + 16781856 z^(3/2) + 102247197 z^2 - 102247197 z^(5/2) - 439194405 z^3 + 439194405 z^(7/2) + 1888522350 z^4 - 1888522350 z^(9/2) + 5285100502 z^5 - 5285100502 z^(11/2) + 252804937 z^6 - 252804937 z^(13/2) - 29644769 z^7 + 29644769 z^(15/2) + 2018940 z^8 - 2018940 z^(17/2)) 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