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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=-13/4, b>=a > For fixed z and a=-13/4, b=-7/4





http://functions.wolfram.com/07.23.03.ac9x.01









  


  








Input Form





Hypergeometric2F1[-(13/4), -(7/4), 11/2, -z] == (16 Sqrt[2] (-112 - 1564 z - 11175 z^2 - 60973 z^3 - 467544 z^4 + 2092442 z^5 - 1070631 z^6 + 60095 z^7 + 1190 z^8 + (1/Sqrt[1 + z]) (112 + 1620 z + 11943 z^2 + 66372 z^3 + 496727 z^4 - 678172 z^5 - 813275 z^6 + 305092 z^7 - 595 z^8)))/ (37999335 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