Bicomplex Landau and Ikehara Theorems for the Dirichlet Series-Reference-Cited by-同舟云学术

Bicomplex Landau and Ikehara Theorems for the Dirichlet Series

Published:2022-03-15 Issue: Volume:2022 Page:1-8
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Agarwal Ritu¹^ORCID,Sharma Urvashi Purohit¹²^ORCID,Agarwal Ravi P.³^ORCID,Suthar Daya Lal⁴^ORCID,Purohit Sunil Dutt⁵^ORCID

Affiliation:

1. Department of Mathematics, Malaviya National Institute of Technology, Jaipur-302017, India

2. Department of Science and Humanities, Kalaniketan Polytechnic College, Jabalpur-482001, India

3. Department of Mathematics, Texas A&M University-Kingsville, 700 University Blvd., Kingsville, USA

4. Department of Mathematics, Wollo University, P.O. Box: 1145, Dessie, Ethiopia

5. Department of HEAS(Mathematics), Rajasthan Technical University, Kota-324010, India

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.

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2022/4528209.pdf

Reference42 articles.

1. Le rappresentazioni reali delle forme complesse e gli enti iperalgebrici

2. NORMAL FAMILIES OF BICOMPLEX HOLOMORPHIC FUNCTIONS

3. On Bicomplex Fibonacci Numbers and Their Generalization

4. Bicomplex Numbers and their Elementary Functions

5. A Bicomplex Riemann Zeta Function