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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=-15/4, b>=a > For fixed z and a=-15/4, b=7/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 7/4, 5, -z] == (1/(422463195 Pi z^4)) (4096 (1 + z)^(1/4) (2 (9856 + 55440 z + 111111 z^2 + 40425 z^3 + 90081 z^4 + 75267 z^5 + 30660 z^6 + 5040 z^7) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + 2 Sqrt[1 + z] (-4928 - 24024 z - 38115 z^2 + 5775 z^3 + 50247 z^4 + 55485 z^5 + 26880 z^6 + 5040 z^7) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (9856 + 55440 z + 111111 z^2 + 40425 z^3 + 90081 z^4 + 75267 z^5 + 30660 z^6 + 5040 z^7) 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