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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=23/8, b>=a > For fixed z and a=23/8, b=35/8





http://functions.wolfram.com/07.23.03.c8uu.01









  


  








Input Form





Hypergeometric2F1[23/8, 35/8, -(11/2), -z] == (1/(405504 (1 + z)^(95/8))) ((405504 + 5121792 z + 31120928 z^2 + 125224003 z^3 + 405793399 z^4 + 1383676602 z^5 + 10295164110 z^6 - 9232691353 z^7 + 742638251 z^8 + 11558572 z^9) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (709632 + 9451008 z + 60928700 z^2 + 260631467 z^3 + 886796119 z^4 + 3020480430 z^5 - 13093636694 z^6 + 3726239927 z^7 - 20227501 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