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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=-45/8, b>=a > For fixed z and a=-45/8, b=31/8





http://functions.wolfram.com/07.23.03.b715.01









  


  










Input Form





Hypergeometric2F1[-(45/8), 31/8, -(1/2), z] == (1/15640) ((1 - Sqrt[z])^(5/4) (7820 + 9775 Sqrt[z] + 351900 z + 5655840 z^(3/2) - 672000 z^2 - 48013056 z^(5/2) - 23761920 z^3 + 109424640 z^(7/2) + 76677120 z^4 - 72417280 z^(9/2) - 57933824 z^5) + (1 + Sqrt[z])^(5/4) (7820 - 9775 Sqrt[z] + 351900 z - 5655840 z^(3/2) - 672000 z^2 + 48013056 z^(5/2) - 23761920 z^3 - 109424640 z^(7/2) + 76677120 z^4 + 72417280 z^(9/2) - 57933824 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