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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=47/8





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









  


  








Input Form





Hypergeometric2F1[-(5/8), 47/8, -(9/2), z] == (1/1677312) ((1/(1 - Sqrt[z])^(39/4)) (838656 - 8176896 Sqrt[z] + 36458240 z - 99088080 z^(3/2) + 184890420 z^2 - 252296213 z^(5/2) + 258846588 z^3 - 198176160 z^(7/2) + 109374720 z^4 - 40884480 z^(9/2) + 9225216 z^5 - 946176 z^(11/2)) + (1/(1 + Sqrt[z])^(39/4)) (838656 + 8176896 Sqrt[z] + 36458240 z + 99088080 z^(3/2) + 184890420 z^2 + 252296213 z^(5/2) + 258846588 z^3 + 198176160 z^(7/2) + 109374720 z^4 + 40884480 z^(9/2) + 9225216 z^5 + 946176 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