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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=1/4, b>=a > For fixed z and a=1/4, b=15/4





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









  


  








Input Form





Hypergeometric2F1[1/4, 15/4, -(11/2), z] == (1/29568) ((1/(1 - Sqrt[z])^(19/2)) (14784 - 140448 Sqrt[z] + 594384 z - 1468320 z^(3/2) + 2324840 z^2 - 2428846 z^(5/2) + 1652297 z^3 - 693956 z^(7/2) + 166060 z^4 - 17480 z^(9/2)) + (1/(1 + Sqrt[z])^(19/2)) (14784 + 140448 Sqrt[z] + 594384 z + 1468320 z^(3/2) + 2324840 z^2 + 2428846 z^(5/2) + 1652297 z^3 + 693956 z^(7/2) + 166060 z^4 + 17480 z^(9/2)))








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