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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=-21/8, b>=a > For fixed z and a=-21/8, b=39/8





http://functions.wolfram.com/07.23.03.bm0v.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 39/8, -(11/2), z] == (1/8380416) ((1/(1 - Sqrt[z])^(31/4)) (4190208 - 32474112 Sqrt[z] + 119349504 z - 285624576 z^(3/2) + 514803360 z^2 - 756003324 z^(5/2) + 940891261 z^3 - 1008004432 z^(7/2) + 926646048 z^4 - 714061440 z^(9/2) + 437614848 z^5 - 194844672 z^(11/2) + 54472704 z^6 - 7028736 z^(13/2)) + (1/(1 + Sqrt[z])^(31/4)) (4190208 + 32474112 Sqrt[z] + 119349504 z + 285624576 z^(3/2) + 514803360 z^2 + 756003324 z^(5/2) + 940891261 z^3 + 1008004432 z^(7/2) + 926646048 z^4 + 714061440 z^(9/2) + 437614848 z^5 + 194844672 z^(11/2) + 54472704 z^6 + 7028736 z^(13/2)))








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