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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=33/8





http://functions.wolfram.com/07.23.03.c07q.01









  


  








Input Form





Hypergeometric2F1[5/8, 33/8, -(23/4), z] == (139840 - 1469840 z + 7063080 z^2 - 20636665 z^3 + 41464305 z^4 - 63331050 z^5 + 94539450 z^6 + 8237811 z^7 - 1375011 z^8 + 117648 z^9 + (1/Sqrt[1 - z]) (139840 - 1539760 z + 7780520 z^2 - 23993215 z^3 + 50986155 z^4 - 81871470 z^5 + 122073150 z^6 + 216763989 z^7 - 36693921 z^8 + 5823576 z^9 - 470592 z^10))/ (139840 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (-1 + z)^10)








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