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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 4 and fixed z > For fixed z and a=-7/4, b>=a > For fixed z and a=-7/4, b=6





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









  


  








Input Form





Hypergeometric2F1[-(7/4), 6, -(21/4), z] == (1/(452608 (-1 + z)^10)) (4 (113152 - 905216 z + 2968576 z^2 - 4820992 z^3 + 3217920 z^4 + 458752 z^5 + 5505024 z^6 - 21672005 z^7 + 30198869 z^8 - 23292410 z^9 + 10651058 z^10 - 2725569 z^11 + 302841 z^12) - 231 Sqrt[1 - z] z^(25/4) (-43993 + 83435 z - 75850 z^2 + 38950 z^3 - 10925 z^4 + 1311 z^5) Beta[z, 3/4, 1/2])








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