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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.b9ed.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 35/8, -(21/4), z] == (7255872 (1 + Sqrt[1 - z]) + 604656 (-5 + Sqrt[1 - z]) z - 17784 (87 + 19 Sqrt[1 - z]) z^2 - 1539 (1297 + 1063 Sqrt[1 - z]) z^3 - 114 (36635 + 41363 Sqrt[1 - z]) z^4 - 4389 (3423 + 3961 Sqrt[1 - z]) z^5 - 22572 (10495 + 10904 Sqrt[1 - z]) z^6 + 2816 (412228 + 267839 Sqrt[1 - z]) z^7 - 35290112 (51 + 20 Sqrt[1 - z]) z^8 + 12779520 (93 + 17 Sqrt[1 - z]) z^9 - 289669120 z^10)/(7255872 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - z)^(9/2))








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