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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=-25/8, b>=a > For fixed z and a=-25/8, b=43/8





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









  


  








Input Form





Hypergeometric2F1[-(25/8), 43/8, -(9/2), z] == (1/7354368) ((1/(1 - Sqrt[z])^(27/4)) (3677184 - 24820992 Sqrt[z] + 85085952 z - 205635024 z^(3/2) + 398850660 z^2 - 659297853 z^(5/2) + 957241584 z^3 - 1233810144 z^(7/2) + 1403918208 z^4 - 1365154560 z^(9/2) + 1051674624 z^5 - 573427712 z^(11/2) + 189775872 z^6 - 28114944 z^(13/2)) + (1/(1 + Sqrt[z])^(27/4)) (3677184 + 24820992 Sqrt[z] + 85085952 z + 205635024 z^(3/2) + 398850660 z^2 + 659297853 z^(5/2) + 957241584 z^3 + 1233810144 z^(7/2) + 1403918208 z^4 + 1365154560 z^(9/2) + 1051674624 z^5 + 573427712 z^(11/2) + 189775872 z^6 + 28114944 z^(13/2)))








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