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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=-35/8, b>=a > For fixed z and a=-35/8, b=25/8





http://functions.wolfram.com/07.23.03.bd0a.01









  


  








Input Form





Hypergeometric2F1[-(35/8), 25/8, -(9/2), z] == (1/313344) ((1/(1 - Sqrt[z])^(13/4)) (156672 - 509184 Sqrt[z] + 1048832 z - 1785680 z^(3/2) + 2701980 z^2 - 3799653 z^(5/2) + 5043696 z^3 - 6428448 z^(7/2) + 7866240 z^4 - 9335040 z^(9/2) + 10340352 z^5 - 7614464 z^(11/2) + 2342912 z^6) + (1/(1 + Sqrt[z])^(13/4)) (156672 + 509184 Sqrt[z] + 1048832 z + 1785680 z^(3/2) + 2701980 z^2 + 3799653 z^(5/2) + 5043696 z^3 + 6428448 z^(7/2) + 7866240 z^4 + 9335040 z^(9/2) + 10340352 z^5 + 7614464 z^(11/2) + 2342912 z^6))








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