Inclusion relations for certain families of integral operators associated with conic regions

In this work, we introduce certain subclasses of analytic functions involving the integral operators that generalize the class of uniformly starlike, convex, and close-to-convex functions with respect to symmetric points. We then establish various inclusion relations for these newly defined classes.

[1]  Hari M. Srivastava,et al.  The Hardy Space of Analytic Functions Associated with Certain One-Parameter Families of Integral Operators , 1993 .

[2]  Koichi Sakaguchi,et al.  On a certain univalent mapping. , 1959 .

[3]  Hari M. Srivastava,et al.  Some applications of the generalized Libera integral operator , 1986 .

[4]  Shahid Mahmood,et al.  New Subclass of Analytic Functions in Conical Domain Associated with Ruscheweyh q-Differential Operator , 2017 .

[5]  J. Sokół,et al.  New subclass of analytic functions in conical domain associated with a linear operator , 2016 .

[6]  Hari M. Srivastava,et al.  Linear operators associated with k-uniformly convex functions , 2000 .

[7]  S. Messaoudi,et al.  SOME STABILITY RESULTS FOR TIMOSHENKO SYSTEMS WITH COOPERATIVE FRICTIONAL AND INFINITE-MEMORY DAMPINGS IN THE DISPLACEMENT , 2016 .

[8]  S. Umar,et al.  New reciprocal class of analytic functions associated with linear operator , 2018 .

[9]  W. Ul-Haq,et al.  Certain Properties of a Class of Close-to-Convex Functions Related to Conic Domains , 2013 .

[10]  S. Kanas,et al.  Techniques of the differential subordination for domains bounded by conic sections , 2003 .

[11]  S. Owa.  Properties of certain integral operators , 1995 .

[12]  Stanisława Kanas,et al.  Conic regions and k -uniform convexity , 1999 .

[13]  A certain one-parameter additive family of operators defined on analytic functions , 1986 .

[14]  Shao-Mou Yuan,et al.  Some properties of alpha-convex and alpha-quasiconvex functions with respect to n-symmetric points , 2007, Appl. Math. Comput..

[15]  S. D. Bernardi,et al.  Convex and starlike univalent functions , 1969 .

[16]  K. Noor.  On uniformly univalent functions with respect to symmetrical points , 2014 .