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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=-19/4, b>=a > For fixed z and a=-19/4, b=15/4





http://functions.wolfram.com/07.23.03.a9pn.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 15/4, 11/2, -z] == (16 Sqrt[2] (10640 + 22420 z - 6479 z^2 + 15827 z^3 - 120365 z^4 - 653411 z^5 - 1152528 z^6 - 993216 z^7 - 429312 z^8 - 74880 z^9 + (1/Sqrt[1 + z]) (-10640 - 27740 z - 3401 z^2 - 10450 z^3 + 110656 z^4 + 1124134 z^5 + 2935369 z^6 + 3745896 z^7 + 2621040 z^8 + 970944 z^9 + 149760 z^10)))/(13042315 z^(9/2) 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