Some properties of bicomplex holomorphic functions | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 3، دوره 16، شماره 5، مرداد 2025، صفحه 27-33 اصل مقاله (338.85 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.33970.5071 | ||
| نویسندگان | ||
| Mahmood Bidkham* 1؛ Abdollah Mir2 | ||
| 1Department of Mathematics, Semnan University, Semnan, Iran | ||
| 2Department of Mathematics, University of Kashmir, Srinagar, 190006, India | ||
| چکیده | ||
| In this paper, we first establish the bicomplex version of Rouche's theorem. Also, a new approach is given to prove the maximum modulus principle for bicomplex holomorphic functions. Our proof is based on the direct method and extends the result proved by Luna-Elizarraras et al. Finally, we generalize the Hurwitz's theorem to bicomplex space. | ||
| کلیدواژهها | ||
| Bicomplex Function؛ Rouche's Theorem؛ Maximum Modulus Principle؛ Hurwitz's theorem | ||
| مراجع | ||
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