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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=-27/8, b>=a > For fixed z and a=-27/8, b=41/8





http://functions.wolfram.com/07.23.03.bi88.01









  


  








Input Form





Hypergeometric2F1[-(27/8), 41/8, -(5/2), z] == (1/54400) ((1/(1 - Sqrt[z])^(17/4)) (27200 - 115600 Sqrt[z] + 376040 z - 940695 z^(3/2) + 2256240 z^2 - 4855200 z^(5/2) + 12566400 z^3 - 60195072 z^(7/2) + 161581056 z^4 - 207613952 z^(9/2) + 126730240 z^5 - 29818880 z^(11/2)) + (1/(1 + Sqrt[z])^(17/4)) (27200 + 115600 Sqrt[z] + 376040 z + 940695 z^(3/2) + 2256240 z^2 + 4855200 z^(5/2) + 12566400 z^3 + 60195072 z^(7/2) + 161581056 z^4 + 207613952 z^(9/2) + 126730240 z^5 + 29818880 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