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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=-17/8, b>=a > For fixed z and a=-17/8, b=19/8





http://functions.wolfram.com/07.23.03.bnx2.01









  


  








Input Form





Hypergeometric2F1[-(17/8), 19/8, -(11/2), z] == (1/90112) ((1/(1 - Sqrt[z])^(23/4)) (45056 - 259072 Sqrt[z] + 656640 z - 1006848 z^(3/2) + 1110816 z^2 - 991116 z^(5/2) + 747441 z^3 - 471960 z^(7/2) + 238032 z^4 - 83904 z^(9/2) + 14592 z^5) + (1/(1 + Sqrt[z])^(23/4)) (45056 + 259072 Sqrt[z] + 656640 z + 1006848 z^(3/2) + 1110816 z^2 + 991116 z^(5/2) + 747441 z^3 + 471960 z^(7/2) + 238032 z^4 + 83904 z^(9/2) + 14592 z^5))








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