Slow growing of Stieltjes integrals of monotone functions

Array

Authors

  • M.V. Zabolotskyj Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine
  • O.V. Kostiuk Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, Ukraine

Keywords:

tempered function, Stieltjes integral

Abstract

We establish necessary and sufficient conditions for slow growth of Stieltjes integral of monotone functions. Obtained results are applied to studying of value distribution and growth of Nevanlinna characteristics of meromorphic functions in $\mathbb{C}$.

Published

2012-06-28

How to Cite

(1)
Zabolotskyj, M.; Kostiuk, O. Slow Growing of Stieltjes Integrals of Monotone Functions: Array. Carpathian Math. Publ. 2012, 4, 43-48.

Issue

Section

Scientific articles