On a Class of Functions Analytic in a Half Plane

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Kirti Chauhan

Abstract

In this paper, we have defined a class of functions represented by generalized Dirichlet series whose coefficients satisfy certain given conditions. Region of convergence is obtained depending on the fixed Dirichlet series. This class is complete and becomes an Hilbert space with respect to the inner product defined. Schauder basis is also obtained.

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How to Cite
Chauhan, K. (2022). On a Class of Functions Analytic in a Half Plane. Asian Journal of Mathematical Sciences(AJMS), 5(3). https://doi.org/10.22377/ajms.v5i3.380
Section
Research Article