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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=-17/4, b>=a > For fixed z and a=-17/4, b=17/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 17/4, -(11/2), z] == (1/4224) ((1/(1 - Sqrt[z])^(11/2)) (2112 - 11616 Sqrt[z] + 33072 z - 68640 z^(3/2) + 118040 z^2 - 178178 z^(5/2) + 243399 z^3 - 305448 z^(7/2) + 354120 z^4 - 377520 z^(9/2) + 363792 z^5 - 302016 z^(11/2) + 192192 z^6 - 77440 z^(13/2) + 14080 z^7) + (1/(1 + Sqrt[z])^(11/2)) (2112 + 11616 Sqrt[z] + 33072 z + 68640 z^(3/2) + 118040 z^2 + 178178 z^(5/2) + 243399 z^3 + 305448 z^(7/2) + 354120 z^4 + 377520 z^(9/2) + 363792 z^5 + 302016 z^(11/2) + 192192 z^6 + 77440 z^(13/2) + 14080 z^7))








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