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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=7/8, b>=a > For fixed z and a=7/8, b=35/8





http://functions.wolfram.com/07.23.03.c18w.01









  


  








Input Form





Hypergeometric2F1[7/8, 35/8, -(11/2), -z] == (1/(135168 (1 + z)^(79/8))) ((135168 + 1221888 z + 4960352 z^2 + 12076729 z^3 + 20584564 z^4 + 31911726 z^5 + 115500924 z^6 + 15242081 z^7 + 2555576 z^8 + 233920 z^9) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (236544 + 2300928 z + 10252340 z^2 + 28086251 z^3 + 54913804 z^4 + 92485866 z^5 - 29924216 z^6 - 4753693 z^7 - 409360 z^8) 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