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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=-45/8, b>=a > For fixed z and a=-45/8, b=15/8





http://functions.wolfram.com/07.23.03.b6sa.01









  


  










Input Form





Hypergeometric2F1[-(45/8), 15/8, 11/2, z] == (1/(43546758255 z^(9/2))) (512 ((1 + Sqrt[z])^(37/4) (-1373440 + 12704320 Sqrt[z] - 54680080 z + 147687720 z^(3/2) - 284247357 z^2 + 413525616 z^(5/2) - 459312672 z^3 + 381129600 z^(7/2) - 226617600 z^4 + 90540032 z^(9/2) - 21671936 z^5 + 2342912 z^(11/2)) + (1 - Sqrt[z])^(37/4) (1373440 + 12704320 Sqrt[z] + 54680080 z + 147687720 z^(3/2) + 284247357 z^2 + 413525616 z^(5/2) + 459312672 z^3 + 381129600 z^(7/2) + 226617600 z^4 + 90540032 z^(9/2) + 21671936 z^5 + 2342912 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