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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.cbmj.01









  


  








Input Form





Hypergeometric2F1[31/8, 43/8, -(5/4), z] == (183540 (1 + Sqrt[1 - z]) - 9177 (547 + 537 Sqrt[1 - z]) z + 9177 (25311 + 25045 Sqrt[1 - z]) z^2 + 2 (802017547 + 698146643 Sqrt[1 - z]) z^3 + 2 (999044401 + 708929583 Sqrt[1 - z]) z^4 + 5 (111009693 + 52548319 Sqrt[1 - z]) z^5 + 80155 (233 + 3 Sqrt[1 - z]) z^6 - 320620 z^7)/(183540 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - z)^(21/2))








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