Abstract
Given a power series $f(x)=\sum_{n=1}^\infty\,a_n\,x^n$ with nonnegative coefficients satisfying $\sum_{n=1}^\infty\,a_n=1$ we give sufficient conditions on the sequence $(a_n)$ to guarantee that the coefficients of the Taylor series of $h(x)=1/(1-f(x))$ form a nonincreasing sequence. This type of result is useful when one wishes to apply Tauberian theorems.
Citation
Eduardo H. M. Brietzke. "Monotonicity of Coefficients of Reciprocal Power Series." Real Anal. Exchange 27 (1) 41 - 48, 2001/2002.
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