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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=-39/8, b>=a > For fixed z and a=-39/8, b=21/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 21/8, 21/4, z] == (1/(109468975 z^5)) (16 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (102672 - 487692 z + 611041 z^2 + 299460 z^3 + 3084438 z^4 - 9207616 z^5 + 11551521 z^6 - 7753248 z^7 + 2745600 z^8 - 405504 z^9 - (1/Sqrt[1 - z]) (102672 - 539028 z + 842053 z^2 + 48484 z^3 + 2884798 z^4 - 14230120 z^5 + 25145909 z^6 - 24119344 z^7 + 13446528 z^8 - 4122624 z^9 + 540672 z^10)))








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