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





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









  


  








Input Form





Hypergeometric2F1[-(15/8), 45/8, -(3/2), z] == (1/446368) ((1/(1 - Sqrt[z])^(21/4)) (223184 - 1171716 Sqrt[z] + 4059159 z - 10936016 z^(3/2) + 28121184 z^2 - 62084736 z^(5/2) + 91601664 z^3 - 79681536 z^(7/2) + 36900864 z^4 - 7028736 z^(9/2)) + (1/(1 + Sqrt[z])^(21/4)) (223184 + 1171716 Sqrt[z] + 4059159 z + 10936016 z^(3/2) + 28121184 z^2 + 62084736 z^(5/2) + 91601664 z^3 + 79681536 z^(7/2) + 36900864 z^4 + 7028736 z^(9/2)))








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