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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 4 and fixed z > For fixed z and a=-19/4, b>=a > For fixed z and a=-19/4, b=-13/4





http://functions.wolfram.com/07.23.03.a94d.01









  


  








Input Form





Hypergeometric2F1[-(19/4), -(13/4), 9/2, -z] == (8 Sqrt[2] (-40 - 896 z - 12491 z^2 - 246558 z^3 + 2908191 z^4 - 5319028 z^5 + 2495363 z^6 - 253454 z^7 - 207 z^8 + (1/Sqrt[1 + z]) (2 (20 + 458 z + 6467 z^2 + 126347 z^3 - 867009 z^4 + 309595 z^5 + 909129 z^6 - 371647 z^7 + 16353 z^8 + 207 z^9))))/ (16838415 z^(7/2) Sqrt[-1 + Sqrt[1 + z]])








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