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On starlike functions related with the convex conic domain | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 44، دوره 12، شماره 1، مرداد 2021، صفحه 567-573 اصل مقاله (339.26 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4839 | ||
| نویسندگان | ||
| Rahim Kargar* 1؛ Janusz Sokol2 | ||
| 1Department of Mathematics and Statistics, University of Turku, Turku, Finland | ||
| 2University of Rzeszow, Faculty of Mathematics and Natural Sciences, ul. Prof. Pigonia 1, 35-310 Rzeszow, Poland | ||
| تاریخ دریافت: 07 آبان 1397، تاریخ بازنگری: 06 آبان 1398، تاریخ پذیرش: 14 آذر 1398 | ||
| چکیده | ||
| In the present paper, we study a new subclass $\mathcal{M}_p(\alpha,\beta)$ of $p$--valent functions and obtain some inequalities concerning the coefficients for the desired class. Also, by using the Hadamard product, we define a new general operator and find a condition such that it belongs to the class $\mathcal{M}_p(\alpha,\beta)$. | ||
| کلیدواژه‌ها | ||
| Analytic functions؛ $p$--valent functions؛ Generalized Bessel function؛ Gaussian hypergeometric function؛ Hadamard product | ||
| مراجع | ||
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[1] R. Aghalary, A. Ebadian and Z. Orouji, Certain properties of rational functions involving Bessel functions, Tamkang J. Math. 43 (2012) 391–398. [2] R. M. Ali, M. Hussain, V. Ravichandran and K. G. Subramanian, A class of multivalent functions with positive coefficients defined by convolution, J. Ineq. Pure. Appl. Math. 6 (2005) 1–9. [3] J. Nishiwaki and S. Owa, Coefficient inequalities for analytic functions, Int. J. Math. Math. Sci. 29 (2002) 285–290. [4] J. Nishiwaki and S. Owa, Certain classes of analytic functions concerned with uniformly starlike and convex functions, Appl. Math. Comp. 187 (2007) 350–357. [5] S. Owa and J. Nishiwaki, Coefficient estimates for certain classes of analytic functions, J. Ineq. Pure. Appl. Math. (2002) 1–5. [6] S. Porwal and K. K. Dixit, An application of generalized Bessel function on certain analytic functions, Acta Univ. M. Belii Ser. Math. 2013 (2013) 51–57. [7] B. A. Uralegaddi, M. D. Ganigi and S. A. Sarangi, Univalent functions with positive coefficients, Tamkang J. Math. 25 (1994) 225–29 | ||
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