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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.bpf4.01









  


  








Input Form





Hypergeometric2F1[-(15/8), 45/8, -(11/2), z] == (1/3334144) ((1/(1 - Sqrt[z])^(37/4)) (1667072 - 15420416 Sqrt[z] + 66806016 z - 183292672 z^(3/2) + 364228000 z^2 - 566026740 z^(5/2) + 717614445 z^3 - 754702320 z^(7/2) + 655610400 z^4 - 458231680 z^(9/2) + 244955392 z^5 - 92522496 z^(11/2) + 21671936 z^6 - 2342912 z^(13/2)) + (1/(1 + Sqrt[z])^(37/4)) (1667072 + 15420416 Sqrt[z] + 66806016 z + 183292672 z^(3/2) + 364228000 z^2 + 566026740 z^(5/2) + 717614445 z^3 + 754702320 z^(7/2) + 655610400 z^4 + 458231680 z^(9/2) + 244955392 z^5 + 92522496 z^(11/2) + 21671936 z^6 + 2342912 z^(13/2)))








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