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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=15/8, b>=a > For fixed z and a=15/8, b=35/8





http://functions.wolfram.com/07.23.03.c5fg.01









  


  








Input Form





Hypergeometric2F1[15/8, 35/8, -(9/2), -z] == (1/(3072 (1 + z)^(79/8))) ((3072 + 31232 z + 151588 z^2 + 498421 z^3 + 1514436 z^4 + 9349494 z^5 - 3847984 z^6 - 205411 z^7 - 11696 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (5376 + 58352 z + 305165 z^2 + 1079584 z^3 + 3379926 z^4 - 8958716 z^5 + 373541 z^6 + 20468 z^7) Sin[(7 ArcTan[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