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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=-29/8, b>=a > For fixed z and a=-29/8, b=-9/8





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









  


  










Input Form





Hypergeometric2F1[-(29/8), -(9/8), 23/4, z] == (1/(290504479719 z^5)) (16 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (535920 - 7065212 z + 46393823 z^2 - 219013771 z^3 + 1126704810 z^4 + 11784926414 z^5 + 5903144675 z^6 - 8076151 z^7 + 402132 z^8 + (1/Sqrt[1 - z]) (-535920 + 7333172 z - 49859439 z^2 + 241361026 z^3 - 1230833109 z^4 - 2168047456 z^5 + 2585018167 z^6 + 647365498 z^7 - 33410467 z^8 + 1608528 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