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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 8 and fixed z and a<0 > For fixed z and a=-47/8, b>=a > For fixed z and a=-47/8, b=45/8





http://functions.wolfram.com/07.23.03.b5rh.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 45/8, 3/2, z] == (1/(18409461 Sqrt[z])) (2 ((1 + Sqrt[z])^(7/4) (167555 + 4309144 Sqrt[z] - 18599632 z - 71665216 z^(3/2) + 258003200 z^2 + 249389056 z^(5/2) - 1108688896 z^3 - 51314688 z^(7/2) + 1804271616 z^4 - 647495680 z^(9/2) - 976224256 z^5 + 557842432 z^(11/2)) + (1 - Sqrt[z])^(7/4) (-167555 + 4309144 Sqrt[z] + 18599632 z - 71665216 z^(3/2) - 258003200 z^2 + 249389056 z^(5/2) + 1108688896 z^3 - 51314688 z^(7/2) - 1804271616 z^4 - 647495680 z^(9/2) + 976224256 z^5 + 557842432 z^(11/2))))








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