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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=23/4





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 23/4, -(9/2), -z] == (Sqrt[z] (-149760 z^10 + 13680 (1 + Sqrt[1 + z]) + 2496 z^9 (-397 + 30 Sqrt[1 + z]) + 380 z (139 + 121 Sqrt[1 + z]) + 95 z^2 (505 + 281 Sqrt[1 + z]) + 133 z^4 (194 + 305 Sqrt[1 + z]) - 19 z^3 (1004 + 1449 Sqrt[1 + z]) + 120 z^7 (-32135 + 8584 Sqrt[1 + z]) + 48 z^8 (-56453 + 9152 Sqrt[1 + z]) + z^5 (-890224 + 604939 Sqrt[1 + z]) + z^6 (-2876633 + 1180656 Sqrt[1 + z])))/(27360 Sqrt[2] (1 + z)^(15/2) 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