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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=31/8, b>=a > For fixed z and a=31/8, b=43/8





http://functions.wolfram.com/07.23.03.cbm3.01









  


  








Input Form





Hypergeometric2F1[31/8, 43/8, -(9/2), -z] == (1/(322560 (1 + z)^(103/8))) (-4 (-80640 - 1288000 z - 10579605 z^2 - 64335922 z^3 - 391191878 z^4 - 4774011165 z^5 + 11875640063 z^6 - 4713994460 z^7 + 242730012 z^8 + 2889643 z^9) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (564480 + 9404080 z + 80498285 z^2 + 505295574 z^3 + 3082366595 z^4 - 39433902556 z^5 + 37009983171 z^6 - 5956188490 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