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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=9/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 9/4, 11/2, -z] == (16 Sqrt[2] (-3536 - 20332 z - 40885 z^2 - 18564 z^3 + 30498 z^4 + 142432 z^5 + 186859 z^6 + 125000 z^7 + 43632 z^8 + 6336 z^9 + (1/Sqrt[1 + z]) (3536 + 22100 z + 50609 z^2 + 36686 z^3 - 25194 z^4 - 88292 z^5 - 106575 z^6 - 67558 z^7 - 22608 z^8 - 3168 z^9)))/ (2235255 z^(9/2) 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