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Coefficient inequalities for a subclass of close-to-convex functions of complex order | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 18 تیر 1405 اصل مقاله (366.77 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2025.33985.5072 | ||
| نویسندگان | ||
| Mumtaz Ali* 1؛ Arshad Muhammad2؛ Irfan Ullah3 | ||
| 1Federal Government College Mardan (KPK), Pakistan | ||
| 2International Islamic University H-10, Islamabad, Pakistan | ||
| 3Abdul Wali Khan University Mardan (KPK), Pakistan | ||
| تاریخ دریافت: 12 اردیبهشت 1403، تاریخ بازنگری: 27 اسفند 1403، تاریخ پذیرش: 27 فروردین 1404 | ||
| چکیده | ||
| In this paper, we introduce a subclass of close-to-convex functions defined in terms of generalized Ruscheweyh derivative operator. We determine coefficient bounds for functions of complex order $b$ analytic in the open unit disk $\Delta =\left\{ z\in \mathbb{C} :\left\vert z\right\vert <1\right\} $. | ||
| کلیدواژهها | ||
| Ruscheweyh operator؛ coefficient inequalities؛ close-to-convex functions | ||
| مراجع | ||
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[1] H. Al‑Amiri, On Ruscheweyh Derivative, Ann. Polon. Math. 38 (1980), 87-94. [2] K. Al‑Shaqsi and M. Darrus, On certain subclass of analytic univalent functions with negative coefficients, Appl. Math. Sci. 1 (2007), no. 3, 1121-1128. [3] K.O. Babalola, A.O. Olasupo, and C.N. Eijeji, Early coefficients of close‑to‑star functions of type α, J. Niger. Math. Soc. 31 (2012), 185-189. [4] R.M. Goel and B.C. Mehrok, A subclass of starlike functions with respect to symmetric points, Tamkang J. Math. 13 (1982), no. 1, 11-24. [5] R.M. Goel and N.S. Sohi, A new criterion for p‑valent functions, Proc. Amer. Math. Soc. 78 (1980), 353-357. [6] A.W. Goodman, Univalent Functions, Vol II. Somerset, NJ, USA Mariner, 1983. [7] A.W. Goodman, On close‑to‑convex functions of higher order, Ann. Univ. Sci. Budapest, Eötvös Sect. Math. 15 (1973), 17-30. [8] W. Janowski, Some extremal problems for certain families of analytic functions, Ann. Polon. Math. 28 (1973), 297-326. [9] W. Kaplan, Close‑to‑convex schlicht functions, Michigan Math. J. 1 (1952), 169-185. [10] O.O. Kihe, Coefficient Inequalities for Janowski type close‑to‑convex functions associated with Ruscheweyh derivative operator, Sakarya Uni. J. Sci. 23 (2019), no. 5, 714-717. [11] O.O. Kihe and N. Eroglu, On a subclass of the generalized Janowski type functions of complex order, Hacettepe J. Math. Statist. 49 (2020), no. 5, 1726-1734. [12] S. Latha, Coefficient inequalities for certain classes of Ruscheweyh type analytic functions, J. Inequal. Pure Appl. Math. 9 (2008), no. 2. [13] S. Latha and S. Najunda Rao, Convex combinations of an analytic functions in generalized Ruscheweyh class, Int. J. Math. Sci. Technol. 25 (1994), 791-795. [14] A.A. Lupas, Certain differential subordination using a generalized Salagean and Ruscheweyh operators, Acta Univ. Apulensis 25 (2011), 31-40. [15] W. Ma and D. Minda, Uniformly convex functions, Ann. Polon. Math. 57 (1997), 165-175. [16] M.A. Nasr and M.K. Aouf, Radius of convexity for the class of starlike functions of complex order, Bull. Fac. Sci. Assiut. Univ. Sect. A 12 (1983), 153-159. [17] M.O. Reade, On close‑to‑convex univalent functions, Michigan Math. J. 3 (1955), 59-62. [18] F. Ronning, On starlike functions associated with the parabolic regions, Ann. Marae Curiesklodowska Sect. A 45 (1993), no. 14, 117-122. [19] S. Ruscheweyh, A new criteria for univalent function, Proc. Math. 37 (1936), 374-408. [20] K.A. Shaqsi and M. Darrus, On univalent functions with respect to k‑symmetric points defined by a generalized Ruscheweyh derivatives operator, J. Anal. Appl. 7 (2009), 53-61. [21] P. Waitrowski, On the coefficients of some family of holomorphic functions, Zeszyty Nauk. Uniw. Lodz Nauk. Mat.‑Przyrod 2 (1970), no. 39, 75-85. | ||
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