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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=15/4





http://functions.wolfram.com/07.23.03.9922.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 15/4, 9/2, z] == (1/(39126945 z^(7/2))) (8 ((1 + Sqrt[z])^(13/2) (17480 - 113620 Sqrt[z] + 442244 z - 1312311 z^(3/2) + 3316830 z^2 - 7498920 z^(5/2) + 16151520 z^3 - 31498896 z^(7/2) + 47265504 z^4 - 48185280 z^(9/2) + 30750720 z^5 - 11032320 z^(11/2) + 1697280 z^6) - (1 - Sqrt[z])^(13/2) (17480 + 113620 Sqrt[z] + 442244 z + 1312311 z^(3/2) + 3316830 z^2 + 7498920 z^(5/2) + 16151520 z^3 + 31498896 z^(7/2) + 47265504 z^4 + 48185280 z^(9/2) + 30750720 z^5 + 11032320 z^(11/2) + 1697280 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