بعض الفئات الفرعية لدوال أحادية التكافؤ وثنائية التكافؤ المتعلقة بأرقام فيبوناتشي K ودالة السيني المعدلة
محتوى المقالة الرئيسي
الملخص
يهتم هذا البحث بفئات فرعية معينة من الدوال احادية التكافؤ وثنائية التكافؤ فيما يتعلق بمنحنيات تشبه الصدفة المرتبطة بأرقام فيبوناتشي k تتضمن دالة التنشيط السيني المعدلة θ(t)=2/(1+e^(-t) ) ,t ≥0في قرص الوحدة|z|<1. تقديرات المعاملات الاولية |c_2 | , |c_3 | تم التحقق من عدم المساواة Fekete-Szego ̈ ومحدد هانكل الثاني للدوال في فئاتنا.
Received 31/12/2021
Accepted 17/5/2022
Published Online First 20/11/2022
تفاصيل المقالة
هذا العمل مرخص بموجب Creative Commons Attribution 4.0 International License.
كيفية الاقتباس
المراجع
Çağlar M, Deniz E, Srivastava HM. Second Hankel determinant for certain subclasses of bi-univalent functions. Turk J Math. 2017 May 22; 41(3): 694-706.
Magesh N, Nirmala J, Yamini J. Initial estimates for certain subclasses of bi-univalent functions with k- Fibonacci numbers. arXiv preprint. arXiv:2001. 2020 Jan 22: 08569.
Özlem Güney H, Murugusundaramoorthy G, Sokol J . Certain subclasses of bi-univalent functions related to k-Fibonacci numbers. Commun. Fac Sci Univ Ank Ser. A1 Math. Stat. 2019; 68(2): 1909-1921.
Özgür NY, Sokół J. On Starlike Functions Connected with k-Fibonacci Numbers. Bull Malays Math Sci Soc. 2015 Jan; 38(1): 249-58.
Fadipe-Joseph OA, Kadir BB, Akinwumi SE, Adeniran EO. Polynomial bounds for a class of univalent function involving sigmoid function. Khayyam J Math. 2018 Jan 1; 4(1): 88-101.
Wanas AK, Khuttar JA. Applications of Borel distribution series on analytic functions. Earthline J Math Sci. 2020 Apr 20; 4(1): 71-82.
Ruscheweyh S. New criteria for univalent functions. Proc. Amer. Math. Soc. 1975 May 1: 109-15.
Noonan JW, Thomas DK. On the second Hankel determinant of areally mean p-valent functions. Trans Amer. Math. Soc. 1976; 223: 337-46.
Noor KI. Hankel determinant problem for the class of functions with bounded boundary rotation. Rev Roum Math Pure Appl. 1983 Jan 1;28(8):731-9.
Ehrenborg R. The Hankel determinant of exponential polynomials. The American Math. Monthly. 2000 Jun 1; 107(6): 557-60.
Mehrok BS, Singh G. Estimate of second Hankel determinant for certain classes of analytic functions. Scientia Magna. 2012 Jul 1; 8(3): 85-94.
Magesh N, Yamini J. Fekete-Szegö problem and second Hankel determinant for a class of bi-univalent functions. Tbil Math J. 2018 Jan; 11(1): 141-57.
Srivastava HM, Altınkaya Ş, Yalcın S. Hankel determinant for a subclass of bi-univalent functions defined by using a symmetric q-derivative operator. Filomat. 2018; 32(2): 503-16.
Güney HÖ, Murugusundaramoorthy G, Srivastava HM. The second Hankel determinant for a certain class of bi-close-to-convex functions. Results Math. 2019 Sep; 74(3): 1-3.
Fekete M, Szegö G. Eine Bemerkung über ungerade schlichte Funktionen. J. london math. soc. 1933 Apr; 1(2): 85-9.
Shehab NH, Juma AR. Third Order Differential Subordination for Analytic Functions Involving Convolution Operator. Baghdad Sc J. 2022; 19(3): 0581-0581.
Challab KA. Study of Second Hankel Determinant for Certain Subclasses of Functions Defined by Al-Oboudi Differential Operator. Baghdad Sc J. 2020 Mar 18; 17(1): 0353-0353.
Frasin BA, Swamy SR, Aldawish I. A Comprehensive Family of Bi univalent Functions Defined by k-Fibonacci Numbers. J Funct Spaces . 2021 Oct 31; 2021.
Shabani MM, Sababe SH. Coefficient bounds for a subclass of bi-univalent functions associated with Dziok- Srivastava operator. Korean J. Math. 2022; 30(1): 73-80.
Srivastava HM, Mishra AK, Gochhayat P. Certain subclasses of analytic and bi-univalent functions. Appl math letters. 2010 Oct 1; 23(10): 1188-92.
Sokol J, İlhan S, Güney H. Second Hankel determinant problem for several classes of analytic functions related to shell-like curves connected with Fibonacci numbers. Turkic World Mathematical Society J Appl Eng Math. 2018 Jan 1; 8(1.1): 220-9.