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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=-23/4, b>=a > For fixed z and a=-23/4, b=19/4





http://functions.wolfram.com/07.23.03.a7qa.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 19/4, -(9/2), z] == (1/4032) ((1/(1 + Sqrt[z])^(7/2)) (2016 + 7056 Sqrt[z] + 21056 z + 47236 z^(3/2) + 101826 z^2 + 193809 z^(5/2) + 373362 z^3 + 668052 z^(7/2) + 1290432 z^4 + 2354352 z^(9/2) + 6054048 z^5 + 5421312 z^(11/2) - 21385728 z^6 - 54482688 z^(13/2) - 45147648 z^7 - 12899328 z^(15/2)) + (1/(1 - Sqrt[z])^(7/2)) (2016 - 7056 Sqrt[z] + 21056 z - 47236 z^(3/2) + 101826 z^2 - 193809 z^(5/2) + 373362 z^3 - 668052 z^(7/2) + 1290432 z^4 - 2354352 z^(9/2) + 6054048 z^5 - 5421312 z^(11/2) - 21385728 z^6 + 54482688 z^(13/2) - 45147648 z^7 + 12899328 z^(15/2)))








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