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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=9/4, b>=a > For fixed z and a=9/4, b=23/4





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









  


  








Input Form





Hypergeometric2F1[9/4, 23/4, -(11/2), -z] == (1/(4928 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^13) (2464 + 37520 z + 277074 z^2 + 1351551 z^3 + 5142232 z^4 + 18518097 z^5 - 449719778 z^6 + 262429569 z^7 - 2233116 z^8 - 177537 z^9 - 8556 z^10) + (1/(1 + z)^(27/2)) (2 (1232 + 19376 z + 147763 z^2 + 742776 z^3 + 2892811 z^4 + 10468094 z^5 + 341886227 z^6 - 357168600 z^7 + 40022829 z^8 + 2365734 z^9 + 183954 z^10 + 8556 z^11))))








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