Bicomplex Landau and Ikehara Theorems for the Dirichlet Series

Ritu Agarwal, Urvashi Purohit Sharma, Ravi P. Agarwal, Daya Lal Suthar, Sunil Dutt Purohit and V. Ravichandran

Journal of Mathematics, 2022, vol. 2022, 1-8

Abstract: The aim of this paper is to generalize the Landau-type Tauberian theorem for the bicomplex variables. Our findings extend and improve on previous versions of the Ikehara theorem. Also boundedness result for the bicomplex version of Ikehara–Korevaar theorem is derived. The purpose of this article is to substantially extend the various complex Tauberian theorems for the Dirichlet series to the bicomplex domain.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4528209

DOI: 10.1155/2022/4528209

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