Abstract
For an entire Dirichlet series F ( s ) = ∑ k = 0 ∞ f k e x p { s λ k } and a Dirichlet series G ( s ) = ∑ k = 0 ∞ g k e x p { s λ k } with finite abscissa of the absolute convergence the Dirichlet series ( F * G ) ( s ) = ∑ k = 0 ∞ f k g k e x p { s λ k } is called the Hadamard composition . In terms of generalized orders the growth of this composition and their derivatives is investigated. A relation between the behavior of the maximal terms of the Hadamard composition of the derivatives and of the derivative of the Hadamard composition is established.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Visnyk Lvivskogo Universytetu. Seriya Mekhaniko-Matematychna
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.