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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=-41/8, b>=a > For fixed z and a=-41/8, b=35/8





http://functions.wolfram.com/07.23.03.b9ei.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 35/8, -(17/4), z] == (1209312 (1 + Sqrt[1 - z]) + 35568 (54 + 71 Sqrt[1 - z]) z + 1026 (4149 + 5527 Sqrt[1 - z]) z^2 + 57 (215728 + 272335 Sqrt[1 - z]) z^3 + 399 (138534 + 160277 Sqrt[1 - z]) z^4 + 14364 (72141 + 74536 Sqrt[1 - z]) z^5 - 1792 (3235943 + 2218957 Sqrt[1 - z]) z^6 + 93184 (109173 + 46540 Sqrt[1 - z]) z^7 - 89456640 (84 + 17 Sqrt[1 - z]) z^8 + 2027683840 z^9)/(1209312 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - z)^(7/2))








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