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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=-37/8, b>=a > For fixed z and a=-37/8, b=39/8





http://functions.wolfram.com/07.23.03.bc6y.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 39/8, -(3/2), z] == (1/22816) ((1/(1 + Sqrt[z])^(7/4)) (11408 + 19964 Sqrt[z] + 178963 z + 299460 z^(3/2) + 3764640 z^2 - 34752256 z^(5/2) - 113521408 z^3 + 80098304 z^(7/2) + 389509120 z^4 + 93716480 z^(9/2) - 328007680 z^5 - 187432960 z^(11/2)) + (1/(1 - Sqrt[z])^(7/4)) (11408 - 19964 Sqrt[z] + 178963 z - 299460 z^(3/2) + 3764640 z^2 + 34752256 z^(5/2) - 113521408 z^3 - 80098304 z^(7/2) + 389509120 z^4 - 93716480 z^(9/2) - 328007680 z^5 + 187432960 z^(11/2)))








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