Abstract
In this paper we introduce the notion of Proximate Order and Proximate Type of Entire Dirichlet Series and prove their existence. We also obtain some related results.
Highlights
In this paper we introduce the notion of Proximate Order and Proximate Type of Entire Dirichlet Series and prove their existence
X 1 f (s) = anes n n=1 where 0 < n < n+1(n 1); n ! 1 as n ! 1 and an 2 C: If c and a be respectively the abscissa of convergence and absolute convergence of (1) c = a = 1: For an entire function f (s) represented by (1) its maximum modulus is denoted by F ( ) and is de...ned as
Let f (s) be an entire function represented by Dirichlet series (1)
Summary
Let f (s) be an entire function represented by Dirichlet series (1) Let f (s) be an entire function represented by Dirichlet series (1) with ...nite Ritt order f . the proximate order ( ) of f (s) exists.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
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.
