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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=-35/8, b>=a > For fixed z and a=-35/8, b=33/8





http://functions.wolfram.com/07.23.03.bd4o.01









  


  








Input Form





Hypergeometric2F1[-(35/8), 33/8, -(9/2), z] == (1/522240) ((1/(1 - Sqrt[z])^(17/4)) (261120 - 1109760 Sqrt[z] + 2850560 z - 5803120 z^(3/2) + 10242500 z^2 - 16442655 z^(5/2) + 24582000 z^3 - 34818720 z^(7/2) + 47034240 z^4 - 61036800 z^(9/2) + 74680320 z^5 - 70873088 z^(11/2) + 39829504 z^6 - 9371648 z^(13/2)) + (1/(1 + Sqrt[z])^(17/4)) (261120 + 1109760 Sqrt[z] + 2850560 z + 5803120 z^(3/2) + 10242500 z^2 + 16442655 z^(5/2) + 24582000 z^3 + 34818720 z^(7/2) + 47034240 z^4 + 61036800 z^(9/2) + 74680320 z^5 + 70873088 z^(11/2) + 39829504 z^6 + 9371648 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