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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=15/4, b>=a > For fixed z and a=15/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[15/4, 21/4, -(7/2), -z] == (1/(16 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^(25/2)) (8 + 144 z + 1387 z^2 + 10894 z^3 + 1054625 z^4 - 2692508 z^5 + 1469341 z^6 - 163170 z^7 - 145 z^8) + (1/(1 + z)^12) (2 (4 + 70 z + 659 z^2 + 5126 z^3 - 395945 z^4 + 693866 z^5 - 237535 z^6 + 10730 z^7 + 145 z^8))))








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