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Classes of certain analytic functions defining by subordinations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 91، دوره 13، شماره 1، خرداد 2022، صفحه 1099-1103 اصل مقاله (312.27 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2017.10857.1528 | ||
| نویسندگان | ||
| Mugur Acu1؛ Shigeyoshi Owa2؛ Radu Diaconu* 1 | ||
| 1Department of Mathematics and Informatics, Faculty of Sciences, "Lucian Blaga" University, Str. Dr. I. Ra\d{t}iu, No. 5-7, 550012 - Sibiu, Romania | ||
| 2Department of Mathematics, Faculty of Education, Yamato University, Katayama 2-5-1, Suita, Osaka 564-0082, Japan | ||
| تاریخ دریافت: 24 اسفند 1395، تاریخ پذیرش: 04 مهر 1396 | ||
| چکیده | ||
| There are many results for analytic functions in the open unit disk U concerning subordination. Two subclasses of analytic functions in U are introduced using subordinations in U. The object of the present paper is to discuss some properties of functions belonging to these two subclasses. | ||
| کلیدواژهها | ||
| Analytic function؛ subordination؛ coecient inequality | ||
| مراجع | ||
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[1] D. Breaz, S. Owa and N. Breaz, Some properties of general integral operators , Adv. Math. Sci. J. 3 (2014) 9–14. [2] L.S. Jack, Functions starlike and convex of ordex α , J. London Math. Soc. 3 (1971) 469–474. [3] S.S. Miller and P. T. Mocanu, Second-order differential inequalities in the complex plane, J. Math. Anal. Appl. 65 (1978) 289–305. [4] W. Rogosinski, On subordinate functions , Proc. Cambridge Philos. Soc. 35(1939) 1–26. [5] W. Rogosinski, On the coefficients of subordinate functions , Proc. London Math. Soc. 48 (1943) 48–82. [6] S. Singh and S. Gupta, A differential subordination and starlikeness of analytic functions, Appl. Math. Lett. 19 (2006) 618–627. | ||
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