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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=-31/8, b>=a > For fixed z and a=-31/8, b=-11/8





http://functions.wolfram.com/07.23.03.bew4.01









  


  








Input Form





Hypergeometric2F1[-(31/8), -(11/8), 21/4, z] == (1/(3071811225 z^5)) (16 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (11408 - 162564 z + 1204257 z^2 - 7167789 z^3 + 94821870 z^4 + 198055554 z^5 + 52696653 z^6 - 807969 z^7 + 38628 z^8 + (1/Sqrt[1 - z]) (-11408 + 168268 z - 1284113 z^2 + 7750310 z^3 - 98264947 z^4 - 55477264 z^5 + 125203129 z^6 + 22985806 z^7 - 1121285 z^8 + 51504 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