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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=-1/4, b>=a > For fixed z and a=-1/4, b=13/4





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









  


  








Input Form





Hypergeometric2F1[-(1/4), 13/4, -(11/2), -z] == (1/(2112 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^(17/2)) (1056 + 8688 z + 31234 z^2 + 63853 z^3 + 80324 z^4 + 60990 z^5 - 21658 z^6 - 6851 z^7 - 884 z^8) + (1/(1 + z)^8) (2 (528 + 4080 z + 13643 z^2 + 25582 z^3 + 28842 z^4 + 18564 z^5 + 20111 z^6 + 6630 z^7 + 884 z^8))))








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