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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.algf.01









  


  








Input Form





Hypergeometric2F1[9/4, 23/4, -(9/2), -z] == (1/(1120 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^12) (560 + 8260 z + 60315 z^2 + 304938 z^3 + 1364045 z^4 - 42585732 z^5 + 28902437 z^6 - 294630 z^7 - 26013 z^8 - 1380 z^9) + (1/(1 + z)^(25/2)) (560 + 8540 z + 64375 z^2 + 334098 z^3 + 1509469 z^4 + 62881832 z^5 - 75190711 z^6 + 9475770 z^7 + 628107 z^8 + 54096 z^9 + 2760 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