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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=-23/8, b>=a > For fixed z and a=-23/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), 45/8, 7/2, z] == (1/(2632552923 z^(5/2))) (32 ((1/(1 + Sqrt[z])^(1/4)) (18768 + 4692 Sqrt[z] + 208403 z + 53567 z^(3/2) + 3772368 z^2 + 42093856 z^(5/2) - 33815936 z^3 - 204635904 z^(7/2) + 64722944 z^4 + 302821376 z^(9/2) - 35143680 z^5 - 140574720 z^(11/2)) + (1/(1 - Sqrt[z])^(1/4)) (-18768 + 4692 Sqrt[z] - 208403 z + 53567 z^(3/2) - 3772368 z^2 + 42093856 z^(5/2) + 33815936 z^3 - 204635904 z^(7/2) - 64722944 z^4 + 302821376 z^(9/2) + 35143680 z^5 - 140574720 z^(11/2))))








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