Abstract
In this study, we introduce two new subclasses of close-to-convex functions of complex order, which
are introduced here by means of a certain non-homogenous Cauchy-Euler-type differential equation of order m, and determine the coefficient bounds for functions belonging to these new classes.
Publisher
Turkish Journal of Mathematics and Computer Science, Association of Mathematicians
Reference16 articles.
1. Altıntaş, O., Irmak, H., Owa, S., Srivastava, H.M., Coefficient bounds for some families of starlike and convex functions of complex order, Appl. Math. Lett., 20(2007), 1218–1222.
2. Altıntaş, O., Özkan, Ö ., Srivastava, H.M., Majorization by starlike functions of complex order, Complex Variables Theory Appl., 46(3)(2001), 207–218.
3. Bulut, S., Coefficient bounds for certain subclasses of analytic functions of complex order, Hacet. J. Math. Stat., 45(4)(2016), 1015–1022.
4. Bulut, S., Coefficient bounds for certain subclasses of close-to-convex functions of complex order, Filomat, 31(20)(2017), 6401–6408.
5. Faisal, I., Darus, M., Application of nonhomogenous Cauchy-Euler differential equation for certain class of analytic functions, Hacet. J. Math. Stat., 43(3)(2014), 375–382.