期刊
SYMMETRY-BASEL
卷 11, 期 2, 页码 -出版社
MDPI
DOI: 10.3390/sym11020292
关键词
analytic functions; univalent functions; starlike and q-starlike functions; q-derivative (or q-difference) operator; sufficient conditions; distortion theorems; Janowski functions
By making use of the concept of basic (or q-) calculus, various families of q-extensions of starlike functions of order a in the open unit disk U were introduced and studied from many different viewpoints and perspectives. In this paper, we first investigate the relationship between various known classes of q-starlike functions that are associated with the Janowski functions. We then introduce and study a new subclass of q-starlike functions that involves the Janowski functions. We also derive several properties of such families of q-starlike functions with negative coefficients including (for example) distortion theorems.
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