Title of article :
Some Properties of Certain Subclasses of Close-to-Convex and Quasi-convex Functions with Respect to 2k-Symmetric Conjugate Points
Author/Authors :
WANG, Z.G. Hengyang Normal University - Department of Mathematics and Computational Science, China , JIANG, Y.P. Hunan University - School of Mathematics and Econometrics, China
Abstract :
We introduce and investigate some new subclasses of close-to-convex and quasi-convex functions with respect to 2k-symmetric conjugate points. Such results as inclusion relationships, integral representations, convolution properties, integralpreserving properties, growth and covering theorems for these function classes are proved. The results presented here would provide extensions of those given in earlier works. Several other new results are also obtained
Keywords :
Analytic functions , starlike functions , convex functions , close , to , convex functions , quasi , convex functions , subordination between analytic functions , Hadamard product (or convolution) , 2k , symmetric conjugate points
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
