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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=-9/4, b>=a > For fixed z and a=-9/4, b=1/4





http://functions.wolfram.com/07.23.03.ae7l.01









  


  








Input Form





Hypergeometric2F1[-(9/4), 1/4, 11/2, -z] == (16 Sqrt[2] (z^3 (51026 - 42720 Sqrt[1 + z]) + z^2 (19967 - 17707 Sqrt[1 + z]) + z (4940 - 4660 Sqrt[1 + z]) - 560 (-1 + Sqrt[1 + z]) + 442 z^7 (-1 + 2 Sqrt[1 + z]) + 221 z^6 (-21 + 41 Sqrt[1 + z]) - 6 z^4 (-19903 + 16667 Sqrt[1 + z]) + z^5 (79780 + 65416 Sqrt[1 + z])))/(3187041 z^(9/2) Sqrt[1 + z] 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