The Hadamard compositions of Dirichlet series absolutely converging in half-plane

M.M. Sheremeta; O.M. Mulyava

doi:10.30970/ms.53.1.13-28

M.M. Sheremeta Ivan Franko National University of Lviv, Lviv, Ukraine
O.M. Mulyava Kyiv National University of Food Technologies, Kyiv, Ukraine

DOI: https://doi.org/10.30970/ms.53.1.13-28

Keywords: Dirichlet series; Hadamard composition; maximal term

Abstract

For Dirichlet series with different finite abscissas of absolute convergence in terms of generalized orders the growth of the Hadamard composition of their derivatives is investigated.
A relation between the behavior of the maximal terms of Hadamard composition of derivatives and of the derivative of Hadamard composition is established.

Author Biography

M.M. Sheremeta, Ivan Franko National University of Lviv, Lviv, Ukraine

Department of Mechanics and Mathematics, Professor

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