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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=-7/4





http://functions.wolfram.com/07.23.03.9304.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(7/4), 6, z] == (1/(2125412334045 Pi z^5)) (16384 (-2 Sqrt[1 - z] (-2048 + 36000 z - 327123 z^2 + 2224654 z^3 - 16255449 z^4 - 173717532 z^5 - 143551445 z^6 - 8583138 z^7 + 785889 z^8 - 69264 z^9 + 3456 z^10) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (-2048 + 37536 z - 353979 z^2 + 2467531 z^3 - 17902059 z^4 + 97777251 z^5 + 406717111 z^6 + 189986121 z^7 + 201231 z^8 - 17559 z^9 + 864 z^10) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (-2048 + 36000 z - 327123 z^2 + 2224654 z^3 - 16255449 z^4 - 173717532 z^5 - 143551445 z^6 - 8583138 z^7 + 785889 z^8 - 69264 z^9 + 3456 z^10) EllipticK[(1/2) (1 - Sqrt[1 - z])]))










Standard Form





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MathML Form







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</apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02