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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Series representations > Generalized power series > Expansions at z==infinity > For the function itself > Case of canceled double poles





http://functions.wolfram.com/07.23.06.0032.01









  


  








Input Form





Hypergeometric2F1[a, a + n, a + m, z] \[Proportional] (((Gamma[a + m] Gamma[n])/(Gamma[m] Gamma[a + n])) (1 + O[1/z]))/(-z)^a /; (Abs[z] -> Infinity) && Element[n, Integers] && n > 0 && Element[m, Integers] && m > 0 && m <= n








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)





2001-10-29