پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شماره‌ها | 628 |
| تعداد مقالات | 9,184 |
| تعداد مشاهده مقاله | 67,537,597 |
| تعداد دریافت فایل اصل مقاله | 8,074,792 |
Estimating coefficients for subclasses of meromorphic bi-univalent functions involving the polylogarithm function | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 249، دوره 13، شماره 1، خرداد 2022، صفحه 3085-3092 اصل مقاله (398.73 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6054 | ||
| نویسندگان | ||
| Shamil Ibrahim Ahmed* ؛ Ahmed Khalaf Radhi | ||
| Department of Mathematics, College of Education, Al-Mustansiriyah University, Baghdad, Iraq | ||
| تاریخ دریافت: 13 آبان 1400، تاریخ بازنگری: 27 آذر 1400، تاریخ پذیرش: 11 دی 1400 | ||
| چکیده | ||
| In this paper, we introduce a new operator \(\Omega_{c}\ g(z)\) associated with polylogarithm function, applying it on the subclasses \(AH_{\Sigma_{\mathcal{B}}^{*}}(\gamma,k)\) of meromorphic starlike bi-univalent functions of order \(\gamma\), and \(AH_{{\widetilde{\Sigma}}_{\mathcal{B}}^{*}}(\gamma,k)\) of meromorphic strongly starlike bi-univalent functions of order \(\gamma\), also we find estimates on the coefficients \(\left| b_{0} \right|\) and \(\left| b_{1} \right|\) for functions in these subclasses. | ||
| کلیدواژه‌ها | ||
| Analytic functions؛ univalent functions؛ Bi-univalent functions؛ Starlike functions؛ strongly starlike functions؛ polylogarithm function؛ Meromorphic functions and Coefficient estimates | ||
| مراجع | ||
|
[1] K.R. Alhindi and M. Darus, A new class of meromorphic functions involving the polylogarithm function, J. Complex Anal.2014 (2014) Article ID 864805, 5 pages. [2] R.M. Ali, S.K. Lee, V. Ravichandran and S. Supramaniam, Coefficient estimates for bi-univalent MaMinda starlike and convex functions, J. Appl. Math. Lett. 25 (2012) 344–351. [3] D.A. Brannan and J.G. Clunie, Aspects of Contemporary Complex Analysis, Academic Press, London and New York, 1980. [4] D.A. Brannan and T.S. Taha, On some classes of bi-univalent functions, Studia Univ. Babes- Bolyai Math. 31(2) (1986) 70–77. [5] P.L. Duren, Coefficients of meromorphic schlicht functions, Proc. Amer. Math. Soc. 28 (1971) 169–172. [6] B. A. Frasin, M. K. Aouf, New subclasses of bi-univalent functions, Appl. Math. Lett. 24(9) (2011) 1569–1573. [7] A.W. Goodman, Univalent Functions, Polygonal Publishing House, Washington, New Jersey, 1983. [8] S.A. Halim, S.G. Hamidi and V. Ravichandran, Coefficient estimates for meromorphic bi-univalent functions, arXiv:1108.4089v1 [math.CV], 2011. [9] A.S. Juma and F.S. Aziz, Applying Ruscheweyh derivative on two sub-classes of bi-univalent functions, Inter. J. Basic Appl. Sci. 12(6) (2012) 68–74. [10] A.S. Juma and F.S. Aziz, Estimating Coefficient for Subclass of Meromorphic Bi-UnivalentFunctions associated with linear operator, TWMS J. App. Eng. Math. 4(1) (2014) 39–44. [11] G.P. Kapoor and A.K. Mishra, Coefficient estimates for inverses of starlike functions of positive order, J. Math. Anal. Appl. 329(2) (2007) 922–934. [12] Y. Kubota, Coefficients of meromorphic univalent functions, Kodai Math. Sem. Rep. 28(2-3) (1976-77) 253–261. [13] M. Lewin, On a coefficient problem for bi-univalent functions, Proc. Amer. Math. Soc. 18 (1967) 63–68. [14] J. Liu and H.M. Srivastava, Classes of meromorphically multivalent functions associated with the generalized hypergeometric function, Math. Comput. Modell. 39(1) (2004) 21–34. [15] E. Netanyahu, The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in |z| < 1, Arch. Rational Mech. Anal. 32 (1969) 100–112. [16] M. Schiffer, Sur un probl‘eme d’extr´emum de la repr´esentation conforme, Bull. Soc. Math. France 66 (1938) 48–55. [17] G. Schober, Coefficients of inverses of meromorphic univalent functions, Proc. Amer. Math. Soc. 67(1) (1977) 111–116. [18] G. Springer, The coefficient problem for schlicht mappings of the exterior of the unit circle, Trans. Amer. Math. Soc. 70 (1951) 421–450. [19] H. M. Srivastava, A. K. Mishra and P. Gochhayat, Certain subclasses of analytic and bi-univalent functions, Appl. Math. Lett. 23(10) (2010) 1188–1192. [20] T. S. Taha, Topics in Univalent Function Theory, Ph.D. Thesis, University of London, 1981. | ||
|
آمار تعداد مشاهده مقاله: 15,870 تعداد دریافت فایل اصل مقاله: 408 |
||