Results 11 to 20 of about 536,183 (317)

Univalent Functions with Univalent Derivatives. II [PDF]

Transactions of the American Mathematical Society, 1969
S. Y. Trimble, S. M. Shah
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On a ratio of a univalent function

Journal of Mathematical Analysis and Applications, 1976
F.R Keogh, E.P Merkes, G.R Burdick
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Locally Univalent Functions with Locally Univalent Derivatives [PDF]

Transactions of the American Mathematical Society, 1971
Douglas M. Campbell
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Applications of q-derivative operator to subclasses of bi-univalent functions involving Gegenbauer polynomials

Applied Mathematics in Science and Engineering, 2022
In recent years, using the idea of analytic and bi-univalent functions, many ideas have been developed by different well-known authors, but the using Gegenbauer polynomials along with certain bi-univalent functions is very rare in the literature.
Qiuxia Hu, Timilehin Gideon Shaba, Jihad Younis, Bilal Khan, Wali Khan Mashwani, Murat Çağlar   +5 more
doaj   +1 more source

Univalent harmonic functions [PDF]

Transactions of the American Mathematical Society, 1987
Several families of complex-valued, univalent, harmonic functions are studied from the point of view of geometric function theory. One class consists of mappings of a simply-connected domain onto an infinite horizontal strip with a normalization at the origin.
Glenn Schober, Walter Hengartner
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Bi-Bazilevič functions of order ϑ+iδ associated with (p,q)− Lucas polynomials

AIMS Mathematics, 2021
By means of(p,q)− Lucas polynomials, a class of Bazilevič functions of order ϑ+iδ in the open unit disk U of analytic and bi-univalent functions is introduced. Further, we estimate coefficients bounds and Fekete-Szegö inequalities for functions belonging
Ala Amourah , B. A. Frasin, G. Murugusundaramoorthy, Tariq Al-Hawary   +3 more
doaj   +1 more source

Mapping properties of Janowski-type harmonic functions involving Mittag-Leffler function

AIMS Mathematics, 2021
In this paper, we examine a connotation between certain subclasses of harmonic univalent functions by applying certain convolution operator regarding Mittag-Leffler function.
Murugusundaramoorthy Gangadharan, Vijaya Kaliyappan , Hijaz Ahmad, K. H. Mahmoud, E. M. Khalil   +4 more
doaj   +1 more source

New Criteria for Univalent‎, ‎Starlike‎, ‎Convex‎, ‎and Close-to-Convex Functions on the Unit Disk [PDF]

Mathematics Interdisciplinary Research, 2020
In the present paper, we introduce and investigate three interesting superclasses SD, SD* and KD of analytic, normalized and univalent functions in the open unit disk D.
Mohammad Reza Yasamian, Ali Ebadian, Mohammad Reza Foroutan   +2 more
doaj   +1 more source

A first-order differential double subordination with applications [PDF]

, 2011
Let $q_1$ and $q_2$ belong to a certain class of normalized analytic univalent functions in the open unit disk of the complex plane. Sufficient conditions are obtained for normalized analytic functions $p$ to satisfy the double subordination chain $q_1(z)
Ali, Ali, Ali, Ali, Brickman, Bulboacă, Bulboacă, Bulboacă, Kanas, Kanas, Lecko, Lewandowski, Lewandowski, Miller, Miller, Nak Eun Cho, Oh Sang Kwon, Rosihan M. Ali, Ruscheweyh, Singh, V. Ravichandran   +20 more
core   +2 more sources

A class of univalent functions [PDF]

Proceedings of the American Mathematical Society, 1973
A sharp coefficient estimate is obtained for a class D ( α ) D(\alpha ) of functions univalent in the open unit disc. The radius of convexity and an arclength result are also determined for the class.
T. R. Caplinger, W. M. Causey
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