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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=-7/4





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









  


  










Input Form





Hypergeometric2F1[-(17/4), -(7/4), 6, -z] == (1/(177738647261175 Pi z^5)) (16384 (1 + z)^(1/4) (2 (-452608 - 6980064 z - 54578823 z^2 - 310815726 z^3 - 1823636529 z^4 + 29661403464 z^5 - 25382632473 z^6 + 2542047354 z^7 + 94789233 z^8 + 3634092 z^9) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (-452608 - 6640608 z - 49651407 z^2 - 274335477 z^3 - 1623421800 z^4 + 9152247654 z^5 - 4175240751 z^6 + 45728991 z^7 + 1817046 z^8) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (-452608 - 6980064 z - 54578823 z^2 - 310815726 z^3 - 1823636529 z^4 + 29661403464 z^5 - 25382632473 z^6 + 2542047354 z^7 + 94789233 z^8 + 3634092 z^9) EllipticK[1/2 - 1/(2 Sqrt[1 + 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