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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=41/8





http://functions.wolfram.com/07.23.03.c0d1.01









  


  








Input Form





Hypergeometric2F1[5/8, 41/8, -(11/2), z] == (1/811008) ((1/(1 - Sqrt[z])^(45/4)) (405504 - 4561920 Sqrt[z] + 23143680 z - 69431040 z^(3/2) + 135326240 z^2 - 176542884 z^(5/2) + 152573505 z^3 - 84068040 z^(7/2) + 28998480 z^4 - 5785920 z^(9/2) + 514304 z^5) + (1/(1 + Sqrt[z])^(45/4)) (405504 + 4561920 Sqrt[z] + 23143680 z + 69431040 z^(3/2) + 135326240 z^2 + 176542884 z^(5/2) + 152573505 z^3 + 84068040 z^(7/2) + 28998480 z^4 + 5785920 z^(9/2) + 514304 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