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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=-7/4, b>=a > For fixed z and a=-7/4, b=23/4





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









  


  








Input Form





Hypergeometric2F1[-(7/4), 23/4, -(3/2), z] == (1/5016) ((1/(1 - Sqrt[z])^(11/2)) (2508 - 13794 Sqrt[z] + 47861 z - 128744 z^(3/2) + 316008 z^2 - 634032 z^(5/2) + 853776 z^3 - 690624 z^(7/2) + 302016 z^4 - 54912 z^(9/2)) + (1/(1 + Sqrt[z])^(11/2)) (2508 + 13794 Sqrt[z] + 47861 z + 128744 z^(3/2) + 316008 z^2 + 634032 z^(5/2) + 853776 z^3 + 690624 z^(7/2) + 302016 z^4 + 54912 z^(9/2)))








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