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Zero-free regions for bicomplex polynomials and related bicomplex entire functions | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 64، دوره 13، شماره 2، مهر 2022، صفحه 743-752 اصل مقاله (338.92 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23006.2452 | ||
| نویسندگان | ||
| Bashir Ahmad Zargar؛ Ashish Kumar* ؛ M.H. Gulzar | ||
| Department of Mathematics, University of Kashmir, Srinagar - 190006, J&K, India | ||
| تاریخ دریافت: 08 فروردین 1400، تاریخ بازنگری: 15 تیر 1400، تاریخ پذیرش: 30 مرداد 1400 | ||
| چکیده | ||
| In this paper, we find the zero free regions of bicomplex polynomial and related bicomplex entire functions with certain restrictions on the coefficients. Our results generalize many results already known in the literature. | ||
| کلیدواژه‌ها | ||
| Bicomplex polynomials؛ Bicomplex entire functions؛ Zero free region | ||
| مراجع | ||
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[1] A. Aziz and Q.G. Mohammad, On the zeros of a certain class of polynomials and related analytic functions, J. Math. Anal. Appl. 75 (1980), 495–502. [2] A. Aziz and Q.G. Mohammad, Zero-free regions for polynomials and some generalizations of Enestrom-Kakeya theorem, Can. Math. Bull. 27 (1984), no. 3, 265–272. [3] J.B. Conway, Function of one complex variable, 2nd edition, Springer-Verlag, 1978. [4] S.K. Datta, T. Molla, M. Sk and J. Saha, A note on the bicomplex version of Enestr¨om-Kakeya theorem, J.Xi’an Univ. Agricul. Technol. XII (2020), 593–603. [5] M.E. Luna-Elizarrar´as, M. Shapiro, D.C. Struppa and A. Vajiac: Bicomplex numbers and their elementary functions, Cubo 14 (2012), no. 2, 61–80. [6] M.E. Luna-Elizarrar´as, M. Shapiro, D.C. Struppa and A. Vajiac, Bicomplex holomorphic functions: The algebra, geometry and analysis of bicomplex numbers, 1st edition, Birkhauser, 2015. [7] G.B. Price, An introduction to multicomplex spaces and functions, Marcel Dekker, New York, 2nd Edition, 1991. | ||
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