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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=15/4





http://functions.wolfram.com/07.23.03.abo7.01









  


  








Input Form





Hypergeometric2F1[-(15/4), 15/4, 9/2, z] == (1/(96135 z^(7/2))) (8 ((1 + Sqrt[z])^(9/2) (120 - 540 Sqrt[z] + 1572 z - 3609 z^(3/2) + 7336 z^2 - 13608 z^(5/2) + 25200 z^3 - 39888 z^(7/2) + 40896 z^4 - 22464 z^(9/2) + 4992 z^5) - (1 - Sqrt[z])^(9/2) (120 + 540 Sqrt[z] + 1572 z + 3609 z^(3/2) + 7336 z^2 + 13608 z^(5/2) + 25200 z^3 + 39888 z^(7/2) + 40896 z^4 + 22464 z^(9/2) + 4992 z^5)))








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