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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=-29/8, b>=a > For fixed z and a=-29/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), 47/8, 11/2, -z] == (1024 (4 Sqrt[z] (9744 - 31610 z + 107068 z^2 - 489723 z^3 + 16986333 z^4 + 93542592 z^5 + 169982208 z^6 + 130842624 z^7 + 36765696 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] - (51968 - 161008 z + 544707 z^2 - 2522130 z^3 + 28656147 z^4 + 224576352 z^5 + 458734848 z^6 + 376442880 z^7 + 110297088 z^8) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (47258506295 z^(9/2) (1 + z)^(3/8))








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