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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 4 and fixed z > For fixed z and a=-9/4, b>=a > For fixed z and a=-9/4, b=17/4





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









  


  








Input Form





Hypergeometric2F1[-(9/4), 17/4, -(9/2), z] == (1/832) ((1/(1 - Sqrt[z])^(13/2)) (416 - 2704 Sqrt[z] + 8320 z - 16900 z^(3/2) + 26390 z^2 - 33969 z^(5/2) + 36946 z^3 - 33800 z^(7/2) + 24960 z^4 - 13520 z^(9/2) + 4576 z^5 - 704 z^(11/2)) + (1/(1 + Sqrt[z])^(13/2)) (416 + 2704 Sqrt[z] + 8320 z + 16900 z^(3/2) + 26390 z^2 + 33969 z^(5/2) + 36946 z^3 + 33800 z^(7/2) + 24960 z^4 + 13520 z^(9/2) + 4576 z^5 + 704 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