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| Initial Lucas polynomial coefficient bounds for bi-Bazilevi\v{c} functions | ||
| Caspian Journal of Mathematical Sciences | ||
| دوره 13، شماره 2 - شماره پیاپی 26، 2024، صفحه 331-343 اصل مقاله (153.49 K) | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2024.27503.1702 | ||
| نویسندگان | ||
| Şahsene Altınkaya* 1؛ Nagamangala Sathyananda Tejas2؛ Dasanur Shivanna Raju3؛ Nanjundan Magesh4 | ||
| 1uludag university | ||
| 2Department of Mathematics, The National Institute of Engineering, Mysore - 570018, India | ||
| 3Visvesvaraya Technological University, Belagavi - 590018, India | ||
| 41Post-Graduate and Research Department of Mathematics, Government Arts College for Men Krishnagiri 635001, Tamilnadu, India. | ||
| تاریخ دریافت: 07 مرداد 1403، تاریخ بازنگری: 13 مهر 1403، تاریخ پذیرش: 14 مهر 1403 | ||
| چکیده | ||
| Our current investigation is primarily motivated by the application of special polynomials in Geometric Function Theory (GFT). This paper aims to utilize (M,N)-Lucas polynomials to estimate the initial coefficient bounds for a subclass of bi-univalent functions consisting of normalized analytic functions. We then derive the famous Fekete-Szegö inequality estimate. We also establish connections between our results and those examined in previous investigations. | ||
| کلیدواژهها | ||
| Bi-univalent function؛ Bazilevic function؛ Fekete-Szegö estimate؛ Lucas polynomials | ||
| آمار تعداد مشاهده مقاله: 264 تعداد دریافت فایل اصل مقاله: 227 | ||