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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=-27/8, b>=a > For fixed z and a=-27/8, b=-23/8





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









  


  








Input Form





Hypergeometric2F1[-(27/8), -(23/8), 21/4, z] == (16 2^(1/4) (4 (5382 - 89631 z + 805782 z^2 - 6188127 z^3 + 390848570 z^4 + 852852739 z^5 + 358299754 z^6 + 25612603 z^7) + (1/Sqrt[1 - z]) (-21528 + 369288 z - 3399699 z^2 + 26320602 z^3 + 602498003 z^4 + 167520852 z^5 - 614665181 z^6 - 174694742 z^7 - 3927595 z^8)))/(34846195405 (1 + Sqrt[1 - z])^(1/4) z^4)








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