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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=-5/8, b>=a > For fixed z and a=-5/8, b=47/8





http://functions.wolfram.com/07.23.03.bvb0.01









  


  








Input Form





Hypergeometric2F1[-(5/8), 47/8, -(13/4), z] == (1/(444912 2^(1/4) (-1 + z)^8)) ((1 + Sqrt[1 - z])^(1/4) (4 (55614 - 378603 z + 996061 z^2 - 908362 z^3 + 2291100 z^4 - 2389867 z^5 + 1390249 z^6 - 439488 z^7 + 59136 z^8) + (1/Sqrt[1 - z]) (222456 - 1625640 z + 4713643 z^2 - 5450172 z^3 - 37323622 z^4 + 61376492 z^5 - 52991205 z^6 + 27000736 z^7 - 7682304 z^8 + 946176 z^9)))








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