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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=-13/4





http://functions.wolfram.com/07.23.03.9180.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(13/4), 6, z] == (1/(4074887758216275 Pi z^5)) (16384 Sqrt[1 + Sqrt[z]] ((894976 - 19675488 z + 230149983 z^2 - 2088934727 z^3 + 21297293325 z^4 + 773412247293 z^5 + 1827081940551 z^6 + 1079362254699 z^7 + 148899645279 z^8 + 117765375 z^9 - 2884050 z^10) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-894976 + 894976 Sqrt[z] + 19004256 z - 19004256 z^(3/2) - 216001671 z^2 + 216001671 z^(5/2) + 1929121205 z^3 - 1929121205 z^(7/2) - 19874950095 z^4 + 19874950095 z^(9/2) - 290678645943 z^5 + 290678645943 z^(11/2) - 466986095457 z^6 + 466986095457 z^(13/2) - 175742235873 z^7 + 175742235873 z^(15/2) - 10747412325 z^8 + 10747412325 z^(17/2) + 231204675 z^9 - 231204675 z^(19/2) - 5768100 z^10 + 5768100 z^(21/2)) 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