Bounds for the zeros of a quaternionic polynomial with restricted coefficients
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAA-14-1_140
تاریخ نمایه سازی: 5 شهریور 1402
Abstract:
The problem of determining the zeros of regular polynomials of a quaternionic variable with quaternionic coefficients is addressed in this study. We derive new bounds of the Enestrom-Kakeya type for the zeros of these polynomials by virtue of a maximum modulus theorem and the structure of the zero sets in the newly developed theory of regular functions and polynomials of a quaternionic variable. Our findings generalise several newly proven conclusions concerning the distribution of zeros of a quaternionic polynomial.
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Authors
Adil Malik
Department of Mathematics, University of Kashmir, Srinagar-۱۹۰۰۰۶, India