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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=-13/4





http://functions.wolfram.com/07.23.03.a94h.01









  


  








Input Form





Hypergeometric2F1[-(19/4), -(13/4), 11/2, -z] == (16 Sqrt[2] (-560 - 11540 z - 129159 z^2 - 1198967 z^3 - 17709783 z^4 + 169715689 z^5 - 259996269 z^6 + 104861491 z^7 - 9341573 z^8 - 6417 z^9 + (1/Sqrt[1 + z]) (560 + 11820 z + 134859 z^2 + 1262139 z^3 + 18293821 z^4 - 93941705 z^5 + 9913943 z^6 + 90089825 z^7 - 29798129 z^8 + 1135809 z^9 + 12834 z^10)))/ (2145962445 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