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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=11/4, b>=a > For fixed z and a=11/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[11/4, 21/4, -(11/2), -z] == (1/(192 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^13) (96 + 1488 z + 11238 z^2 + 56447 z^3 + 223444 z^4 + 851097 z^5 - 24067638 z^6 + 18397553 z^7 - 1659960 z^8 - 52345 z^9 - 1740 z^10) + (1/(1 + z)^(27/2)) (2 (48 + 768 z + 5985 z^2 + 30943 z^3 + 125176 z^4 + 478205 z^5 + 17861472 z^6 - 22600903 z^7 + 4677892 z^8 + 13195 z^9 + 435 z^10))))








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