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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=-5/8, b>=a > For fixed z and a=-5/8, b=31/8





http://functions.wolfram.com/07.23.03.buz2.01









  


  








Input Form





Hypergeometric2F1[-(5/8), 31/8, -(9/2), z] == (1/129024) ((1/(1 - Sqrt[z])^(31/4)) (64512 - 499968 Sqrt[z] + 1722112 z - 3503248 z^(3/2) + 4739652 z^2 - 4550769 z^(5/2) + 3159768 z^3 - 1501392 z^(7/2) + 430528 z^4 - 55552 z^(9/2)) + (1/(1 + Sqrt[z])^(31/4)) (64512 + 499968 Sqrt[z] + 1722112 z + 3503248 z^(3/2) + 4739652 z^2 + 4550769 z^(5/2) + 3159768 z^3 + 1501392 z^(7/2) + 430528 z^4 + 55552 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