2017
Том 69
№ 9

All Issues

On Entire Functions Belonging to a Generalized Class of Convergence

Gal' Yu. M., Mulyava O. M., Sheremeta M. M.

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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 \(\int\limits_{r_0 }^\infty {\frac{{\gamma (\ln M_{f} (r))}}{{r^{\rho + 1} }}} dr\) , where γ is a slowly increasing function.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 4, pp 536-547.

Citation Example: Gal' Yu. M., Mulyava O. M., Sheremeta M. M. On Entire Functions Belonging to a Generalized Class of Convergence // Ukr. Mat. Zh. - 2002. - 54, № 4. - pp. 439-446.

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