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





http://functions.wolfram.com/07.23.03.a7u2.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 23/4, -(7/2), z] == (1/1120) (-((1/(1 - Sqrt[z])^(7/2)) (-560 + 1960 Sqrt[z] - 7740 z + 19740 z^(3/2) - 57219 z^2 + 130284 z^(5/2) - 368940 z^3 + 840840 z^(7/2) - 3603600 z^4 + 329472 z^(9/2) + 39207168 z^5 - 76377600 z^(11/2) + 5940480 z^6 + 105231360 z^(13/2) - 99800064 z^7 + 28514304 z^(15/2))) + (1/(1 + Sqrt[z])^(7/2)) (560 + 1960 Sqrt[z] + 7740 z + 19740 z^(3/2) + 57219 z^2 + 130284 z^(5/2) + 368940 z^3 + 840840 z^(7/2) + 3603600 z^4 + 329472 z^(9/2) - 39207168 z^5 - 76377600 z^(11/2) - 5940480 z^6 + 105231360 z^(13/2) + 99800064 z^7 + 28514304 z^(15/2)))








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