Bicomplex Landau and Ikehara Theorems for the Dirichlet Series. (15th March 2022)

• Record Type: Journal Article
• Authors: Agarwal, Ritu; Sharma, Urvashi Purohit; Agarwal, Ravi P.; Suthar, Daya Lal; Purohit, Sunil Dutt
• Other Names: Ravichandran V. Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2022(2022)
• Publication Date: 2022-03-15
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2022/4528209
• Languages: English
• ISSNs: 2314-4629

Abstract

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.