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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=-17/4, b>=a > For fixed z and a=-17/4, b=21/4





http://functions.wolfram.com/07.23.03.aax2.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 21/4, -(9/2), z] == (1/192) ((1/(1 - Sqrt[z])^(11/2)) (96 - 528 Sqrt[z] + 1664 z - 4004 z^(3/2) + 8138 z^2 - 14729 z^(5/2) + 24414 z^3 - 37752 z^(7/2) + 54912 z^4 - 75504 z^(9/2) + 96096 z^5 - 100672 z^(11/2) + 73216 z^6 - 30976 z^(13/2) + 5632 z^7) + (1/(1 + Sqrt[z])^(11/2)) (96 + 528 Sqrt[z] + 1664 z + 4004 z^(3/2) + 8138 z^2 + 14729 z^(5/2) + 24414 z^3 + 37752 z^(7/2) + 54912 z^4 + 75504 z^(9/2) + 96096 z^5 + 100672 z^(11/2) + 73216 z^6 + 30976 z^(13/2) + 5632 z^7))








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