پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شماره‌ها | 610 |
| تعداد مقالات | 9,027 |
| تعداد مشاهده مقاله | 67,082,778 |
| تعداد دریافت فایل اصل مقاله | 7,656,173 |
Maclaurin coefficient estimates of te-univalent functions connected with the (p,q)-derivative | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 221، دوره 13، شماره 2، مهر 2022، صفحه 2751-2762 اصل مقاله (458.23 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.26625.3370 | ||
| نویسندگان | ||
| Ahmed M. Abd-Eltawab* 1؛ Abbas Kareem Wanas2 | ||
| 1Department of Mathematics, Faculty of Science, Fayoum University, Fayoum 63514, Egypt | ||
| 2Department of Mathematics, College of Science, University of Al-Qadisiyah, Al Diwaniyah, Al-Qadisiyah, Iraq | ||
| تاریخ دریافت: 21 فروردین 1401، تاریخ پذیرش: 24 تیر 1401 | ||
| چکیده | ||
| In this paper, we introduce a new subclass of analytic and te-univalent functions in the open unit disc associated with the operator $\mathcal{T}_{\zeta }^{\lambda ,p,q}$, which is defined by using the (p,q)-derivative. We obtain the coefficient estimates and Fekete-Szeg\H{o} inequalities for the functions belonging to this class.The various results presented in this paper would generalize and improve those in related works of several earlier authors. | ||
| کلیدواژه‌ها | ||
| bi-univalent functions؛ coefficient bounds؛ Fekete-SzegH{o} inequality؛ Hadamard product؛ (p؛ q)-derivative operator؛ te-univalent function | ||
| مراجع | ||
|
[1] A.M. Abd-Eltawab, Coefficient estimates of te-univalent functions associated with the Dziok-Srivastava operator, Int. J. Open Prob. Complex Anal. 13 (2021), no. 2, 14–28. [2] T. Acar, A. Aral and S.A. Mohiuddine, On Kantorovich modification of (p,q)-Baskakov operators, J. Inequal. Appl. 2016 (2016), 1–14. [3] R.M. Ali, S. K. Lee, V. Ravichandran and S. Supramanian, Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions, Appl. Math. Lett. 25 (2012), no. 3, 344–351. [4] S¸. Altınkaya, Inclusion properties of Lucas polynomials for bi-univalent functions introduced through the q-analogue of the Noor integral operator, Turk. J. Math. 43 (2019), 620–629. [5] M. Arif, M.U. Haq and J.L. Liu, A subfamily of univalent functions associated with q-analogue of Noor integral operator, J. Funct. Spaces 2018 (2018), ID 3818915, 1–5. [6] D.A. Brannan and J. Clunie, Aspects of Contemporary Complex Analysis, Academic Press, New York and London, 1980. [7] D.A. Brannan and T.S. Taha, On some classes of bi-univalent functions, Studia Univ. Babes-Bolyai Math. 31 (1986), 70-77. [8] J.D. Bukweli-Kyemba and M.N. Hounkonnou, Quantum deformed algebras: coherent states and special functions, arXiv preprint arXiv:1301.0116 (2013). [9] T. Bulboaca, Differential Subordinations and Superordinations, Recent Results, House of Scientific Book Publ., Cluj-Napoca, 2005. [10] R. Chakrabarti and R. Jagannathan, A (p, q)-oscillator realization of two-parameter quantum, J. Phys. Math. Gen. 24 (1991), no. 13, L711–L718. [11] E. Deniz, Certain subclasses of bi-univalent functions satisfying subordinate conditions, J. Classical Anal. 2 (2013), no. 1, 49–60. [12] P.L. Duren, A Univalent functions, Springer-Verlag, Berlin-New York, 1983. [13] S.M. El-Deeb and T. Bulboac˘a, Differential sandwich-type results for symmetric functions connected with an analogue integral operator, Math. 7 (2019), no. 12, 1185. [14] S.M. El-Deeb and T. Bulboac˘a, Fekete-Szeg˝o inequalities for certain class of analytic functions connected with q-anlogue of Bessel function, J. Egypt. Math. Soc. 27 (2019), 1–11. [15] S. M. El-Deeb, T. Bulboac˘a and B. M. El-Matary, Maclaurin coefficient estimates of bi-univalent functions connected with the q-derivative, Math. 8 (2020), no. 3, 418. [16] M. Fekete and G. Szeg˝o, Eine Bemerkung ¨uber ungerade schlichte Funktionen, J. Lond. Math. Soc. 8 (1933), 85–89. [17] F.H. Jackson, On q-definite integrals, Quart. J. Pure Appl. Math. 41 (1910), 193–203. [18] F.H. Jackson, q-difference equations, Am. J. Math. 32 (1910), no. 4, 305–314. [19] M. Lewin, On a coefficient problem for bi-univalent functions, Proc. Amer. Math. Soc. 18 (1967), 63–68. [20] W. Ma and D. Minda, A unified treatment of some special classes of univalent functions, Proc. Conf. Complex Anal. Z. Li, F. Ren, L. Yang, and S. Zhang (Eds), 1992, pp. 157–169. [21] S.S. Miller and P.T. Mocanu, Differential Subordination: Theory and Applications, Series on Monographs and Textbooks in Pure and Applied Mathematics, 225, Marcel Dekker Inc., New York and Basel, 2000. [22] E. Netanyahu, The minimal distance of the image boundary from origin and the second coefficient of a univalent function in |z| < 1, Arch. Rational Mech. Anal. 32 (1969), 100–112. [23] H. Orhan and H. Arikan, (P, Q)–Lucas polynomial coefficient inequalities of bi-univalent functions defined by the combination of both operators of Al-Aboudi and Ruscheweyh, Afr. Mat. 32 (2021), no. 3, 589–598. [24] Ch. Pommerenke, Univalent Functions, Vandenhoeck and Rupercht, Gttingen, 1975. [25] S. Porwal, An application of a Poisson distribution series on certain analytic functions, J. Complex Anal. 2014 (2014), 984135. [26] J.K. Prajapat, Subordination and superordination preserving properties for generalized multiplier transformation operator, Math. Comput. Model. 55 (2012), 1456–1465. [27] P.N. Sadjang, On the fundamental theorem of (p,q)-calculus and some (p,q)-Taylor formulas, arXiv:1309.3934[math.QA] (2013). [28] H.M. Srivastava, A.K. Mishra and M.K. Das, The Fekete-Szego problem for a subclass of close-to-convex functions, Complex Var. Elliptic Equ. 44 (2001), 145–163. [29] H.M. Srivastava, A.K. Mishra and P. Gochhayat, Certain subclasses of analytic and bi-univalent functions, Appl. Math. Lett. 23 (2010), 1188–1192. [30] H.M. Srivastava, A.K. Wanas and R. Srivastava, Applications of the q-Srivastava-Attiya operator involving a certain family of bi-univalent functions associated with the Horadam polynomials, Symmetry 13 (2021), Article ID 1230, 1–14. [31] H.M. Srivastava, N. Raza, E.S.A. AbuJarad and M.H. AbuJarad, Fekete-Szeg¨o inequality for classes of (p, q)-starlike and (p, q)-convex functions, RACSAM 113 (2019), 3563–3584. [32] A.K. Wanas and L.-I. Cotırla, Initial coefficient estimates and Fekete–Szeg¨o inequalities for new families of biunivalent functions governed by (p − q)-Wanas operator, Symmetry 13 (2021), Article ID 2118, 1–17. | ||
|
آمار تعداد مشاهده مقاله: 44,072 تعداد دریافت فایل اصل مقاله: 418 |
||