Browse > Article
http://dx.doi.org/10.4134/BKMS.2005.42.3.623

INCLUSION RELATIONS FOR k-UNIFORMLY STARLIKE AND RELATED FUNCTIONS UNDER CERTAIN INTEGRAL OPERATORS  

AGHALARY RASOUL (DEPARTMENT OF MATHMATHICS, UNIVERSITY OF URMIA)
JAHANGIRI JAY M. (PROFESSOR AND CHAIR OF FACULTY COUNCIL, MATHMATHICS SCIENCES, KENT STATE UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.42, no.3, 2005 , pp. 623-629 More about this Journal
Abstract
Inclusion relations under certain integral operators are proved for k-uniformly starlike functions. These results are also extended to k-uniformly convex, close-to-convex, and quasi-convex functions
Keywords
starlike; convex; integral operators;
Citations & Related Records
연도 인용수 순위
  • Reference
1 P. Eenigenburg, S. S. Miller, P. T. Mocanu, and M. D. Reade, General inequalities, 3(Birkhauseverlag-basel)ISNM. 64 (1983), 339-348
2 A. W. Goodman, On uniformly starlike functions, J. Math. Anal. Appl. 155 (1991), 364-370   DOI
3 I. B. Jung, Y. C. Kim, and H. M. Srivastava, The Hardy space of analytic functions associated with certain one-parameter families of integral operators, J. Math. Anal. Appl. 176 (1993), 138-147   DOI   ScienceOn
4 S. S. Miller and P. T. Mocanu, Differential subordination and inequalities in the complex plane, J. Differential Equations 67 (1987), 199-211   DOI
5 F. Ronning, A survey on uniformly convex and uniformly starlike functions, Ann. Univ. Mariae Curie-Sklodowska 47 (1993), no. 13, 123-134