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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=23/4





http://functions.wolfram.com/07.23.03.a9x4.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 23/4, 11/2, -z] == (16 Sqrt[2] (-112 + 356 z - 1323 z^2 + 7004 z^3 - 94563 z^4 - 861630 z^5 - 2249520 z^6 - 2679456 z^7 - 1527552 z^8 - 339456 z^9 + (1/Sqrt[1 + z]) (112 - 300 z + 1131 z^2 - 6291 z^3 + 90869 z^4 + 1317459 z^5 + 4844820 z^6 + 8348496 z^7 + 7607808 z^8 + 3564288 z^9 + 678912 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