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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=-41/8





http://functions.wolfram.com/07.23.03.b661.01









  


  








Input Form





Hypergeometric2F1[-(45/8), -(41/8), 15/4, z] == (1/(324681477333 z^3)) (4 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (879860 - 33214715 z + 1122921325 z^2 + 76196573353 z^3 + 447080802537 z^4 + 746037857839 z^5 + 414939064295 z^6 + 71631616355 z^7 + 2617913231 z^8 + (1/Sqrt[1 - z]) (-879860 + 33654645 z - 1139418700 z^2 - 35054024872 z^3 - 114601603412 z^4 - 28151325958 z^5 + 112507373916 z^6 + 59900700400 z^7 + 6429956536 z^8 + 75567305 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