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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=19/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 19/4, -(11/2), z] == (1/4224) ((1/(1 - Sqrt[z])^(13/2)) (2112 - 13728 Sqrt[z] + 44592 z - 101088 z^(3/2) + 183832 z^2 - 286286 z^(5/2) + 394999 z^3 - 490776 z^(7/2) + 551496 z^4 - 555984 z^(9/2) + 490512 z^5 - 356928 z^(11/2) + 192192 z^6 - 64896 z^(13/2) + 9984 z^7) + (1/(1 + Sqrt[z])^(13/2)) (2112 + 13728 Sqrt[z] + 44592 z + 101088 z^(3/2) + 183832 z^2 + 286286 z^(5/2) + 394999 z^3 + 490776 z^(7/2) + 551496 z^4 + 555984 z^(9/2) + 490512 z^5 + 356928 z^(11/2) + 192192 z^6 + 64896 z^(13/2) + 9984 z^7))








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