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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=-17/4, b>=a > For fixed z and a=-17/4, b=13/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 13/4, 9/2, -z] == (8 Sqrt[2] (2 (4420 + 3978 z - 5525 z^2 + 38012 z^3 + 321219 z^4 + 690004 z^5 + 685496 z^6 + 332640 z^7 + 64064 z^8) - (1/Sqrt[1 + z]) (8840 + 12376 z - 8177 z^2 + 70057 z^3 + 430517 z^4 + 824803 z^5 + 760648 z^6 + 348656 z^7 + 64064 z^8)))/ (4023459 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