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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=25/8





http://functions.wolfram.com/07.23.03.c7zp.01









  


  








Input Form





Hypergeometric2F1[21/8, 25/8, -(19/4), z] == (-2 (-304 + 3584 z - 20193 z^2 + 74755 z^3 - 223026 z^4 + 794430 z^5 + 1615299 z^6 + 245823 z^7) + (1/Sqrt[1 - z]) (608 - 7472 z + 43894 z^2 - 168845 z^3 + 516183 z^4 - 1795458 z^5 - 13399932 z^6 - 4967313 z^7 - 144609 z^8))/(608 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (-1 + z)^10)








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