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By considering a certain univalent function in the open unit disk $\mathbb{U} $, that maps $\mathbb{U}$ onto a strip domain, we introduce a new class of analytic and close-to-convex functions by means of a certain non-homogeneous Cauchy-Euler-type differential equation. We determine the coefficient bounds for functions in this new class. Relevant connections of some of the results obtained with those in earlier works are also provided.
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참고문헌 (13)
참고문헌 신청
S. Bulut / 2017 / Coefficient bounds for certain subclasses of close-to-convex functions of complex order / Filomat 31(20):6401~6408
S. Bulut / 2020 / On coefficient bounds of some new subfamilies of close-to-convex functions of complex order related to generalized differential operator / Asian-Eur. J. Math 13(3):8
W. Kaplan / 1953 / Close-to-convex schlicht functions / Michigan Math. J. 1(1952):169~185
K. Kuroki / 2011 / Notes on new class for certain analytic functions / RIMS Kokyuroku 1772:21~25
R. J. Libera / 1964 / Some radius of convexity problems / Duke Math. J. 31:143~158
S. Bulut / 2020 / On coefficient bounds of some new subfamilies of close-to-convex functions of complex order related to generalized differential operator / Asian-Eur. J. Math 13(3):8
W. Kaplan / 1953 / Close-to-convex schlicht functions / Michigan Math. J. 1(1952):169~185
K. Kuroki / 2011 / Notes on new class for certain analytic functions / RIMS Kokyuroku 1772:21~25
R. J. Libera / 1964 / Some radius of convexity problems / Duke Math. J. 31:143~158
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