English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The entire arithmetic functions of one variable have been studied by many mathematicians. For example, see R. Boas [3] and R. Buck [4]. Recently V. Avanissian and R. Gay [1] studied entire arithmetic functions of exponential type of $n$ variables using the theory of analytic functionals. In this paper we consider the arithmetic holomorphic functions on a half plane using the theory of analytic functional with non-compact carrier. We will obtain a sufficient condition for an arithmetic holomorphic function to be entire.

Analytic Continuation of Arithmetic Holomorphic Functions on a Half Plane