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On Entire Functions Belonging to a Generalized Class of Convergence

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Abstract

In terms of Taylor coefficients and distribution of zeros, we describe the class of entire functions f defined by the convergence of the integral \(\int\limits_{r_0 }^\infty {\frac{{\gamma (\ln M_\user1{f} (r))}}{{r^{\rho + 1} }}} dr\), where γ is a slowly increasing function.

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Gal', Y.M., Mulyava, O.M. & Sheremeta, M.M. On Entire Functions Belonging to a Generalized Class of Convergence. Ukrainian Mathematical Journal 54, 536–547 (2002). https://doi.org/10.1023/A:1021075009253

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  • DOI: https://doi.org/10.1023/A:1021075009253

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