A Subordination for Convex Functions of Order α

DOI10.1112/jlms/s2-9.4.530zbMath0331.30011OpenAlexW1967193040MaRDI QIDQ4097505

Thomas H. MacGregor

Publication date: 1975

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-9.4.530

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (20)

Mapping properties of hypergeometric functions and convolutions of starlike or convex functions of order \(\alpha\) ⋮ Fractional calculus of analytic functions concerned with Möbius transformations ⋮ The order of starlikeness of uniformly convex functions ⋮ On certain subclasses of multivalent functions associated with an extended fractional differintegral operator ⋮ Some properties concerning close-to-convexity of certain analytic functions ⋮ On convolution theorems ⋮ Closure properties of operators on the Ma-Minda type starlike and convex functions ⋮ A certain class of starlike functions ⋮ Some radius problems related to a certain subclass of analytic functions ⋮ Differential subordinations associated with multiplier transformations ⋮ On multivalent starlike functions and Ozaki condition ⋮ Unnamed Item ⋮ A survey with open problems on univalent functions whose coefficients are negative ⋮ Second order differential inequalities in the complex plane ⋮ On the order of starlikeness of the shifted Gauss hypergeometric function ⋮ On the order of strong starlikeness and the radii of starlikeness for of some close-to-convex functions ⋮ Some applications of the Miller-Mocanu Lemma ⋮ Applications of subordination to functions with bounded boundary rotation ⋮ On bounded boundary and bounded radius rotations ⋮ Univalent solutions of Briot-Bouquet differential equations

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