Bounds for the zeros of Bicomplex Polynomials using matrix method

2024/02/22 by Ovaisa Jan, Jan, Ovaisa, Idrees Qasim +1
Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebraic and Geometric Analysis #Complex Variables (math.CV) #Elasticity and Wave Propagation #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2402.14425

openalex publication_date 2024/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we investigate bounds for the zeros of a bicomplex polynomial using matrix method. In particular, we find analogue of Gershgorin disk theorem, Cauchy Theorem, theorem of Fujiwara, Walsh and other theorems concerning to zeros of a polynomial to bicomplex polynomials.

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