Results 21 to 30 of about 3,137 (178)
On some starlike and convex functions [PDF]
Transactions of the American Mathematical Society, 1971 In this paper we study functions of the form fo (g(t)/lk1 = 1 (1 tZk)'k) dt for lzl a, O?a 0 for IzI 0 at Ok E [0, 2rr) (k = 1, 2, . . ., n) such that 2n= ?C= 1 (to meet the requirement that a(2rrT)-a(0) = 1), in equation (3), it follows that the function n (4) w = f(z) = z/ I (1-exp [-i61]Z)2aJ is in S. In factf(z) maps the disk D onto the w-plane
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International Journal of Mathematics and Mathematical Sciences, 1999 We investigate an expression involving the quotient of the analytic representations of convex and starlike functions. Sufficient conditions are found for functions to be starlike of a positive order and convex.
Herb Silverman
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On the hadamard products of Schlicht functions and applications
International Journal of Mathematics and Mathematical Sciences, 1985 We show that each of the schlicht classes of starlike, convex, close-to-convex and strongly starlike with respect to symmetric points is invariant under the Hadamard product with the class of convex functions.
H. S. Al-Amiri
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On a subclass of n-starlike functions
International Journal of Mathematics and Mathematical Sciences, 2005 In 1999, Kanas and Rønning introduced the classes of starlike and convex functions, which are normalized with f(w)=f'(w)−1=0 and w a fixed point in U.
Mugur Acu, Shigeyoshi Owa
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On Regions of α-Convexity for Starlike Functions [PDF]
Proceedings of the American Mathematical Society, 1974 In this note an alternative proof to a result of Mocanu and Reade [see Notices Amer. Math. Soc. 20 (1973), A-107] on α
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A Subclass of Analytic Functions Related to k-Uniformly Convex and Starlike Functions
Journal of Function Spaces, 2017 We investigate some subclasses of k-uniformly convex and k-uniformly starlike functions in open unit disc, which is generalization of class of convex and starlike functions.
Saqib Hussain +3 more
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On Geometric Properties of Normalized Hyper-Bessel Functions
Mathematics, 2019 In this paper, the normalized hyper-Bessel functions are studied. Certain sufficient conditions are determined such that the hyper-Bessel functions are close-to-convex, starlike and convex in the open unit disc.
Khurshid Ahmad +5 more
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Starlikeness and convexity of a class of analytic functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 Let be the class of analytic functions in the unit disk that are normalized with f(0) = f′(0) − 1 = 0 and let −1 ≤ B < A ≤ 1. In this paper we study the class Gλ,α = {f ∈ :|(1 − α + αzf″(z)/f′(z))/zf′(z)/f(z)−(1 − α)| < λ, z∈}, 0 ≤ α ≤ 1, and give sharp sufficient conditions that embed it into the classes
Nikola Tuneski, Hüseyin Irmak
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On quasi-convex functions and related topics
International Journal of Mathematics and Mathematical Sciences, 1987 Let S be the class of functions f which are analytic and univalent in the unit disc E with f(0)=0, f′(0)=1. Let C, S* and K be the classes of convex, starlike and close-to-convex functions respectively.
Khalida Inayat Noor
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Inclusion relations for certain families of integral operators associated with conic regions
Journal of Inequalities and Applications, 2019 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.
Shahid Mahmood +3 more
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