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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=3, b>=a > For fixed z and a=3, b=21/4





http://functions.wolfram.com/07.23.03.am5f.01









  


  










Input Form





Hypergeometric2F1[3, 21/4, -(19/4), z] == (1/(46189 (-1 + z)^13)) (-46189 + 753610 z - 6104241 z^2 + 34035768 z^3 - 161669898 z^4 + 970019388 z^5 + 8891844390 z^6 + 7113475512 z^7 + 889184439 z^8 - 15199734 z^9 + 447051 z^10)










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