پیوندهای مفید
آمار
| تعداد نشریات | 22 |
| تعداد شمارهها | 709 |
| تعداد مقالات | 10,213 |
| تعداد مشاهده مقاله | 71,680,422 |
| تعداد دریافت فایل اصل مقاله | 63,495,887 |
Comprehensive subclass of univalent functions associated with the Gegenbauer polynomial and the Bahalola operator | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 29 آبان 1404 اصل مقاله (351.95 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2025.35692.5307 | ||
| نویسندگان | ||
| Sahar Ahmadpour* 1؛ Shahram Najafzadeh2؛ mohammadreza foroutan1؛ Robab Haghi1 | ||
| 1Department of Mathematics, Payame Noor University, P. O. Box: 19395-3697, Tehran, Iran | ||
| 2Department of Mathematics, Payame Noor University, P.O. Box: 19395-3697, Tehran, Iran | ||
| تاریخ دریافت: 01 آبان 1403، تاریخ بازنگری: 20 بهمن 1403، تاریخ پذیرش: 08 مرداد 1404 | ||
| چکیده | ||
| Our objective in this paper is to introduce a newly constructed subclass of univalent functions. The Gegenbauer Polynomials are very successful in the theory of polynomials because they extend many polynomials, such as Legendre, Chebyshev polynomials, etc. Also, the Babolala operator for a fixed real number is used. Furthermore, by applying the convolution structures and subordination property, the new subclass is obtaind. For this new subclass, first, the share coefficient bounds are determined. These coefficient estimates are very important to obtain the geometric properties. So after that, we obtain the radii of starlikeness, convexity and close-to-convexity. Also, under some restrictions on parameters, we show that the newly defined subclass has a convolution-preserving property. Finally, the convexity of this subclass is pointed out. Our objective in this paper is to introduce a newly constructed subclass of univalent functions. The Gegenbauer Polynomials are very successful in the theory of polynomials because they extend many polynomials, such as Legendre, Chebyshev polynomials, etc. Also, the Babolala operator for a fixed real number is used. Furthermore, by applying the convolution structures and subordination property, the new subclass is obtaind. For this new subclass, first, the share coefficient bounds are determined. These coefficient estimates are very important to obtain the geometric properties. So after that, we obtain the radii of starlikeness, convexity and close-to-convexity. Also, under some restrictions on parameters, we show that the newly defined subclass has a convolution-preserving property. Finally, the convexity of this subclass is pointed out. | ||
| کلیدواژهها | ||
| Univalent function؛ Gegenbauer Polynomial؛ Bahalola operator؛ Convolution؛ Subordination؛ Convex set؛ coefficient estimate؛ radii of starlikeness؛ Convexity and close-to-convexity | ||
| مراجع | ||
|
[1] O. Alnajar, A. Amourah, and M. Darus, Application of Gegenbauer polynomial to certion classes of bi-univalent functions of order v+ij, Korean J. Math., 32 (2024), no. 1, 183–193. [2] W.AL. Rawashdeh, Coefficient bounds of a class of bi-univalent functions related to Gegenbauer polynomial, Int. J. Math Comput. Sci. 19 (2024), no. 3, 635–642. [3] A. Amourah, B.A. Frasin, and T. Abdeljawad, Fekete-Szego ineqality for analytic and bi-univalent functions subordinate to Gegenbauer Polynomial, J. Funct. Spaces 2021 (2021), 1–7. [4] A. Amourah, O. Alnajar, M. Darus, A. Shdouh, and O. Ogilat, Estimates for the coefficient of subclasses defind by the Bell distribution of bi-univalent functions subordinate to Gegenbauer polynomial, Mathematics 11 (2023), no. 8, 1799. [5] K.O. Babalola, New subclass of analytic and univalent functions involving certain convolution operator, Mathematica 50 (2008), no. 73, 3–12. [6] A.O. Badghaish, A. Moneim, Y. Lashin, A.Z. Bajamal, and F.A. Alshehri, A new subclass of analytic and bi-univalent functions associated with Legendre polynomials, Aims Math. 8 (2023), no. 10, 23534–23547. [7] P.L. Duren, Univalent functions Grund Lehren der Mathematischen, Wissenschaften, New York, Springer-Verlag, 1983. [8] A.Y. Lashin, A.O. Badghaish, and A.Z. Bajamal, Bounds for two new subclasses of bi-univalent functions associated with Legendre polynomials, Mathematics 9 (2021), 3188. [9] S.S. Miller and P.T. Mocanu, Differential Subordanation: Theory and Application, CRC Press, New York, 2000. [10] B.M. Munasser, A.O. Mostafa, T. Sultan Nasser, A. EL. Sherbeng, and S.M. Madian, Certain class of bi-univalent functions associated with Chebyshev polynomial and q-difference operator, J. Fractional Cal. Appl. 15 (2024), no. 9, 1–9. [11] Sh. Najafzadeh and M.A. Acu, Application of the Bell numbers on univalent functions associated with Subordanation, J. Function Spaces 2022 (2022), 1–6. [12] S.M. El-Deeb, L.I. Cotirla, Sufficienty conditions for a class of convex functions connected with Tangent functions associated with the combination of Babalola operators and binomail series, Mathematics 12 (2024), no. 11, 1691. | ||
|
آمار تعداد مشاهده مقاله: 109 تعداد دریافت فایل اصل مقاله: 211 |
||