Some sufficient conditions for certain class of meromorphic multivalent functions involving Cho-Kwon-Srivastava operator

[1[ B. C. Carlson, D. B. Shaffer, Starlike and pre-starlike hypergeometric functions, SIAM J. Math. Anal., 15 (1984) 737–745.10.1137/0515057Search in Google Scholar

[2[ N. E. Cho, O. S. Kwon, H. M. Srivastava, Inclusion relationships and argument properties for certain subclasses of multivalent functions associated with a family of linear operators, J. Math. Anal. Appl., 292 (2004) 470–483.10.1016/j.jmaa.2003.12.026Search in Google Scholar

[3[ B. A. Frasin, On certain classes of multivalent analytic functions, J. Inequal. Pure Appl. Math., 6 (4) (2005) 1–11.Search in Google Scholar

[4[ F. Ghanim M. Darus, Some properties on a certain class of meromorphic functions related to Cho-Kwon-Srivastava operator, Asian-European J. Math., 5 (4) (2012), Art. ID 1250052 (9 pages).10.1142/S1793557112500520Search in Google Scholar

[5[ S. P Goyal, J. K. Prajapat, A new class of meromorphic multivalent functions involving certain linear operator, Tamsui Oxford J. Math. Sci., 25 (2) (2009) 167–176.Search in Google Scholar

[6[ I. S. Jack, Functions starlike and convex of order α, J. London Math. Soc., 2 (3) (1971) 469–474.10.1112/jlms/s2-3.3.469Search in Google Scholar

[7[ J. L. Liu, H. M. Srivastava, A linear operator and associated families of meromorphically multivalent functions, J. Math. Anal. Appl., 259 (2001), 566–581.10.1006/jmaa.2000.7430Search in Google Scholar

[8[ S. S. Miller, P. T. Mocanu, Second order differential inequalities in the complex plane, J. Math. Anal. Appl., 65 (1978), 289–305.10.1016/0022-247X(78)90181-6Search in Google Scholar

[9[ A. K. Mishra, T. Panigrahi, R. K. Mishra, Subordination and inclusion theorems for subclasses of meromorphic functions with applications to electromagnetic cloaking, Math. Comput. Modelling, 57 (2013), 945–962.10.1016/j.mcm.2012.10.005Search in Google Scholar

[10[ A. K. Mishra, M. M. Soren, Certain subclasses of multivalent meromorphic functions involving iterations of the Cho-Kwon-Srivastava transform and its combinations, Asian-European J. Math., 7 (4) (2014), (21 pages).10.1142/S1793557114500612Search in Google Scholar

[11[ M. L. Morga, Hadamard product of certain meromorphic univalent functions, J. Math. Anal. Appl., 157 (1991), 10–16.10.1016/0022-247X(91)90133-KSearch in Google Scholar

[12[ J. Patel, N. E. Cho, H. M. Srivastava, Certain subclasses of multivalent functions associated with a family of linear operators, Math. Comput. Modelling, 43 (2006), 320–338.10.1016/j.mcm.2005.06.014Search in Google Scholar

[13[ J. K. Prajapat, Some sufficient conditions for certain class of analytic and multivalent functions, Southeast Asian Bull. Math, 34 (2010), 357–363.Search in Google Scholar

[14[ R. K. Raina, H. M. Srivastava, A new class of meromorphically multivalent functions with applications of generalized hypergeometric functions, Math. Comput. Modelling, 43 (2006), 350–356.10.1016/j.mcm.2005.09.031Search in Google Scholar

[15[ Z.-G. Wang, H.-T. Wang, Y. Sun, A class of multivalent non-Bazelevic functions involving the Cho-Kwon-Srivastava operator, Tamsui Oxford J. Math. Sci., 26 (1) (2010), 1–19.Search in Google Scholar

[16[ N. Xu, D. Yang, On starlikeness and close to convexity of certain meromorphic function, J. Korean Soc. Math. Edus. Ser. B, Pure Appl. Math., 10 (2003), 566–581.Search in Google Scholar