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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=13/4





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









  


  










Input Form





Hypergeometric2F1[-(17/4), 13/4, 4, z] == (1/(50470875 Pi z^3)) (256 Sqrt[1 + Sqrt[z]] ((-7072 - 7735 z - 26962 z^2 + 900905 z^3 - 2625280 z^4 + 3161984 z^5 - 1774080 z^6 + 384384 z^7) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (7072 - 7072 Sqrt[z] + 13039 z - 13039 z^(3/2) + 37570 z^2 - 37570 z^(5/2) - 476585 z^3 + 476585 z^(7/2) + 936040 z^4 - 936040 z^(9/2) - 710864 z^5 + 710864 z^(11/2) + 192192 z^6 - 192192 z^(13/2)) 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