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Starlikeness of general integral operator for meromorphic multivalent functions. (English) Zbl 1268.30019
Summary: We introduce a new integral operator $$\cal I^p_{\gamma, \delta}(f_1, \dots, f_n)$$ for meromorphic multivalent functions. The starlikeness condition of this integral operator is determined. Several special cases are also discussed in the form of corollaries.
##### MSC:
 30C45 Special classes of univalent and multivalent functions
Full Text:
##### References:
 [1] B. A. Frasin, “Order of convexity and univalency of general integral operator,” Journal of the Franklin Institute, vol. 348, no. 6, pp. 1013-1019, 2011. · Zbl 1220.30021 · doi:10.1016/j.jfranklin.2011.03.006 [2] S. Bulut and P. Goswami, “Starlikeness properties of general integral operator for meromorphic univalent functions,” Southeast Asian Bulletin of Mathematics, vol. 37, 2013. · Zbl 1299.30019 [3] A. Mohammed and M. Darus, “The order of starlikeness of new p-valent meromorphic functions,” International Journal of Mathematical Analysis, vol. 6, no. 25-28, pp. 1329-1340, 2012. · Zbl 1263.30007 [4] A. Mohammed and M. Darus, “A new integral operator for meromorphic functions,” Acta Universitatis Apulensis. Mathematics. Informatics, no. 24, pp. 231-238, 2010. · Zbl 1224.30062 · eudml:230102 [5] A. Mohammed and M. Darus, “New criteria for meromorphic functions,” International Journal of Applied Mathematics & Statistics, vol. 33, no. 3, 2013. · Zbl 1289.30084 [6] Y. Sun, W.-P. Kuang, and Z.-G. Wang, “On meromorphic starlike functions of reciprocal order \alpha ,” Bulletin of the Malaysian Mathematical Sciences Society, vol. 35, no. 2, pp. 469-477, 2012. · Zbl 1263.30009 [7] Z.-G. Wang, Z.-H. Liu, and A. Catas, “On neighborhoods and partial sums of certain meromorphic multivalent functions,” Applied Mathematics Letters, vol. 24, no. 6, pp. 864-868, 2011. · Zbl 1211.30034 · doi:10.1016/j.aml.2010.12.033 [8] Z.-G. Wang, Z.-H. Liu, and R.-G. Xiang, “Some criteria for meromorphic multivalent starlike functions,” Applied Mathematics and Computation, vol. 218, no. 3, pp. 1107-1111, 2011. · Zbl 1225.30018 · doi:10.1016/j.amc.2011.03.079 [9] Z.-G. Wang, Y. Sun, and N. Xu, “Some properties of certain meromorphic close-to-convex functions,” Applied Mathematics Letters, vol. 25, no. 3, pp. 454-460, 2012. · Zbl 1252.30015 · doi:10.1016/j.aml.2011.09.035 [10] Z.-G. Wang, Y. Sun, and Z.-H. Zhang, “Certain classes of meromorphic multivalent functions,” Computers and Mathematics with Applications, vol. 58, no. 7, pp. 1408-1417, 2009. · Zbl 1189.30045 · doi:10.1016/j.camwa.2009.07.020 [11] S. S. Miller and P. T. Mocanu, Differential Subordinations: Theory and Applications, vol. 225 of Monographs and Textbooks in Pure and Applied Mathematics, Marcel Dekker, New York, NY, USA, 2000. · Zbl 0954.34003 [12] A. Mohammed and M. Darus, “Starlikeness properties of a new integral operator for meromorphic functions,” Journal of Applied Mathematics, vol. 2011, Article ID 804150, 8 pages, 2011. · Zbl 1223.30005 · doi:10.1155/2011/804150