Відносне зростання рядів Діріхле з різними абсцисами абсолютної збіжності

Author:

Mulyava O. M.ORCID,Sheremeta M. M.ORCID

Abstract

УДК 517.537.72 We study the growth of a Dirichlet series with zero abscissa of absolute convergence with respect to the entire Dirichlet series by using the generalized quantities of order  and lower order  where   is the function inverse to and is a positive increasing function growing to  

Publisher

Institute of Mathematics National Academy of Sciences of Ukraine

Reference19 articles.

1. Ch. Roy, On the relative order and lower order of an entire functiion, Bull. Calcutta Math. Soc., 102, № 1, 17 – 26 (2010).

2. S. K. Data, A. R. Maji, Relative order of entire functions in terms of their maximum terms, Int. J. Math. and Anal., 5, № 43, 2119 – 2126 (2011).

3. S. K. Data, T. Biswas, Ch. Ghosh, Growth analysis of entire functions concerning generalized relative type and generalized relative weak type, Facta Univ. Ser. Math. and Inform., 30, № 3, 295 – 324 (2015).

4. S. K. Data, T. Biswas, A. Hoque, Some results on the growth analysis of entire function using their maximum terms and relative $L^{ast}$ -order, J. Math. Ext., 10, № 2, 59 – 73 (2016).

5. S. K. Data, T. Biswas, P. Das, Some results on generalized relative order of meromorohic functions, Ufa Math. J., 8,№ 2, 92 – 103 (2016), https://doi.org/10.13108/2016-8-2-95

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