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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=-41/8, b>=a > For fixed z and a=-41/8, b=-37/8





http://functions.wolfram.com/07.23.03.b8o8.01









  


  








Input Form





Hypergeometric2F1[-(41/8), -(37/8), 15/4, z] == (4 2^(3/4) (2 (219965 - 7258845 z + 13841303085 z^2 + 92613525179 z^3 + 158738777919 z^4 + 86665044753 z^5 + 14247304407 z^6 + 483253137 z^7) + (1/Sqrt[1 - z]) (-439930 + 14737655 z + 26827602215 z^2 + 135727221123 z^3 + 79505218239 z^4 - 135776573499 z^5 - 94376660763 z^6 - 11765939583 z^7 - 155165457 z^8)))/ (218069648955 (1 + Sqrt[1 - z])^(3/4) z^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