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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.adpp.01









  


  








Input Form





Hypergeometric2F1[-(11/4), 23/4, -(11/2), z] == (1/2432) ((1/(1 - Sqrt[z])^(17/2)) (1216 - 10336 Sqrt[z] + 42256 z - 113696 z^(3/2) + 231496 z^2 - 384370 z^(5/2) + 541405 z^3 - 658920 z^(7/2) + 694488 z^4 - 625328 z^(9/2) + 464816 z^5 - 268736 z^(11/2) + 110656 z^6 - 28288 z^(13/2) + 3328 z^7) + (1/(1 + Sqrt[z])^(17/2)) (1216 + 10336 Sqrt[z] + 42256 z + 113696 z^(3/2) + 231496 z^2 + 384370 z^(5/2) + 541405 z^3 + 658920 z^(7/2) + 694488 z^4 + 625328 z^(9/2) + 464816 z^5 + 268736 z^(11/2) + 110656 z^6 + 28288 z^(13/2) + 3328 z^7))








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