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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=-15/4, b>=a > For fixed z and a=-15/4, b=15/4





http://functions.wolfram.com/07.23.03.abn4.01









  


  










Input Form





Hypergeometric2F1[-(15/4), 15/4, -(11/2), -z] == (1/(2112 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1056 + 2448 z + 714 z^2 - 617 z^3 + 660 z^4 - 913 z^5 - 7944 z^6 - 8208 z^7 - 2496 z^8)/(1 + z)^5 + (1/(1 + z)^(11/2)) (2 (528 + 1488 z + 903 z^2 - 250 z^3 + 187 z^4 - 264 z^5 + 6436 z^6 + 13944 z^7 + 10080 z^8 + 2496 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