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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=23/4





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









  


  










Input Form





Hypergeometric2F1[-(7/4), 23/4, -(7/2), -z] == (1/(1520 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] (-((1/(1 + z)^7) (-760 - 3040 z - 2527 z^2 + 3059 z^3 + 28163 z^4 + 47681 z^5 + 38136 z^6 + 15312 z^7 + 2496 z^8)) + (1/(1 + z)^(15/2)) (4 (190 + 855 z + 988 z^2 - 532 z^3 + 11064 z^4 + 30985 z^5 + 37702 z^6 + 24732 z^7 + 8592 z^8 + 1248 z^9))))










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