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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=-13/8, b>=a > For fixed z and a=-13/8, b=31/8





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









  


  








Input Form





Hypergeometric2F1[-(13/8), 31/8, -(21/4), z] == (1/(1576512 2^(1/4) (-1 + z)^7)) ((1 + Sqrt[1 - z])^(1/4) (-788256 + 4523088 z - 10008450 z^2 + 9646131 z^3 - 1797565 z^4 - 2255127 z^5 + 4389411 z^6 - 2419760 z^7 + 467712 z^8 + (1/Sqrt[1 - z]) (2 (-394128 + 2458608 z - 6085731 z^2 + 7067118 z^3 - 2810738 z^4 - 1045856 z^5 - 10185699 z^6 + 12029258 z^7 - 5482624 z^8 + 935424 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