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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 8 and fixed z and a<0 > For fixed z and a=-37/8, b>=a > For fixed z and a=-37/8, b=47/8





http://functions.wolfram.com/07.23.03.bcc5.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 47/8, -(7/2), z] == (1/2555392) ((1/(1 + Sqrt[z])^(19/4)) (1277696 + 6069056 Sqrt[z] + 21298736 z + 57547656 z^(3/2) + 142348311 z^2 + 316512108 z^(5/2) + 702858288 z^3 + 1487785728 z^(7/2) + 3836921088 z^4 + 167574528 z^(9/2) - 33736310784 z^5 - 88017076224 z^(11/2) - 98862956544 z^6 - 53089665024 z^(13/2) - 11176771584 z^7) + (1/(1 - Sqrt[z])^(19/4)) (1277696 - 6069056 Sqrt[z] + 21298736 z - 57547656 z^(3/2) + 142348311 z^2 - 316512108 z^(5/2) + 702858288 z^3 - 1487785728 z^(7/2) + 3836921088 z^4 - 167574528 z^(9/2) - 33736310784 z^5 + 88017076224 z^(11/2) - 98862956544 z^6 + 53089665024 z^(13/2) - 11176771584 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