Abstract
The asymptotic behaviors of four closely related special cases of power series with ζ-functions in the coefficients have appeared in the literature. A function which involves a real parameter is introduced; the parameter can be specialized to produce all of these special cases. The asymptotic behavior is obtained for this function for all real values of the parameter.
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Buschman, R.G., Srivastava, H.M. Asymptotic behavior of some power series with ζ-functions in the coefficients. Monatshefte für Mathematik 115, 291–298 (1993). https://doi.org/10.1007/BF01667309
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DOI: https://doi.org/10.1007/BF01667309