On Entire Functions Belonging to a Generalized Class of Convergence

• Date: 2002
• Main Authors: Gal', Yu. M., Mulyava, O. M., Sheremeta, M. M., Галь, Ю. М., Мулява, О. М., Шеремета, М. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2002
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4082
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.