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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=-45/8, b>=a > For fixed z and a=-45/8, b=39/8





http://functions.wolfram.com/07.23.03.b76t.01









  


  










Input Form





Hypergeometric2F1[-(45/8), 39/8, 15/4, z] == (1/(117437981163 z^3)) (4 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (3515148 + 35528103 z + 546940290 z^2 - 11953342905 z^3 + 54077287044 z^4 - 108601732096 z^5 + 111935988736 z^6 - 58151075840 z^7 + 12108169216 z^8 + (1/Sqrt[1 - z]) (-3515148 - 33770529 z - 528736845 z^2 + 26911221405 z^3 - 173751277395 z^4 + 486254375728 z^5 - 725065625856 z^6 + 603686420480 z^7 - 265901768704 z^8 + 48432676864 z^9)))










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