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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=-3/8, b>=a > For fixed z and a=-3/8, b=41/8





http://functions.wolfram.com/07.23.03.bw1z.01









  


  








Input Form





Hypergeometric2F1[-(3/8), 41/8, -(23/4), z] == (26150080 (1 + Sqrt[1 - z]) - 284240 (941 + 895 Sqrt[1 - z]) z + 7480 (163769 + 147201 Sqrt[1 - z]) z^2 - 935 (3517595 + 2961053 Sqrt[1 - z]) z^3 + 255 (22160643 + 17213437 Sqrt[1 - z]) z^4 - 510 (12152405 + 8410769 Sqrt[1 - z]) z^5 + 288752310 (11 + 5 Sqrt[1 - z]) z^6 - 2451 (3574531 + 464669 Sqrt[1 - z]) z^7 + 2451 (2403827 + 203901 Sqrt[1 - z]) z^8 - 29412 (79293 + 4172 Sqrt[1 - z]) z^9 + 13176576 (40 + Sqrt[1 - z]) z^10 - 52706304 z^11)/ (26150080 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (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