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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 8 and fixed z and a>0 > For fixed z and a=19/8, b>=a > For fixed z and a=19/8, b=29/8





http://functions.wolfram.com/07.23.03.c796.01









  


  








Input Form





Hypergeometric2F1[19/8, 29/8, -(11/2), z] == -((1/(45056 (1 - z)^(23/2))) (Sqrt[1 - z] (-45056 + 578816 z - 3531808 z^2 + 13851329 z^3 - 40799023 z^4 + 107491724 z^5 - 435271694 z^6 - 588675063 z^7 - 70406611 z^8 + 737242 z^9) Cos[(3 ArcSin[Sqrt[z]])/4] + 2 Sqrt[z] (-16896 + 219520 z - 1354542 z^2 + 5368709 z^3 - 15949684 z^4 + 42143139 z^5 - 341006110 z^6 - 331765237 z^7 - 35387616 z^8 + 368621 z^9) Sin[(3 ArcSin[Sqrt[z]])/4]))








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