Results 11 to 20 of about 5,426 (207)

Quasi-convex univalent functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1980
In this paper, a new class of normalized univalent functions is introduced. The properties of this class and its relationship with some other subclasses of univalent functions are studied. The functions in this class are close-to-convex.
K. Inayat Noor, D. K. Thomas
doaj   +2 more sources

Remark on functions with all derivatives univalent

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1980
An attractive conjecture is discounted for the class of normalized univalent functions whose derivatives are also univalent.
M. Lachance
doaj   +2 more sources

Coefficient Estimates for Certain Classes of Bi-Univalent Functions [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2013
A function analytic in the open unit disk is said to be bi-univalent in if both the function and its inverse map are univalent there. The bi-univalency condition imposed on the functions analytic in makes the behavior of their coefficients ...
Jay M. Jahangiri, Samaneh G. Hamidi
doaj   +2 more sources

A class of univalent functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1973
A sharp coefficient estimate is obtained for a class D ( α
Caplinger, T. R., Causey, W. M.
openaire   +3 more sources

Inverse and Logarithmic Coefficient Bounds of Concave Univalent Functions

open access: yesAxioms
The concept of coefficient estimates on univalent functions is one of the interesting aspects explored recently by many researchers. Motivated by this direction, in this present work, we obtain the upper bounds of initial inverse coefficients and ...
Kuppusami Sakthivel   +2 more
doaj   +2 more sources

Initial Maclaurin coefficient estimates for $\lambda $-pseudo-starlike bi-univalent functions associated with Sakaguchi-type functions [PDF]

open access: yes, 2022
summary:We introduce and study two certain classes of holomorphic and bi-univalent functions associating $\lambda $-pseudo-starlike functions with Sakaguchi-type functions.
Frasin, Basem Aref, Wanas, Abbas Kareem
core   +1 more source

Product of univalent functions [PDF]

open access: yesMathematical and Computer Modelling, 2013
Abstract Let S denote the class of functions f analytic and univalent in the unit disk | z | 1 normalized such that f ( 0 ) = 0 = f ′ ( 0 ) − 1 . In this article the authors discuss the radius of univalence of F ( z ) = g ( z ) h ( z ) / z when g and h belong ...
Milutin Obradovic, Saminathan Ponnusamy
openaire   +1 more source

Initial coefficients for generalized subclasses of bi-univalent functions defined with subordination [PDF]

open access: yes, 2022
summary:This paper is concerned with certain generalized subclasses of bi-univalent functions defined with subordination in the open unit disc $E=\left\rbrace z:\mid z \mid
Singh, Gurmeet   +2 more
core   +1 more source

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

open access: yesMathematics 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   +2 more
doaj   +1 more source

Univalence Criteria for Locally Univalent Analytic Functions

open access: yesUkrainian Mathematical Journal, 2023
UDC 517.5 Suppose that  p ( z ) = 1 + z ϕ ' ' ( z ) / ϕ ' ( z ) , where   ϕ ( z ) is a locally univalent analytic function in the unit disk D   with ϕ ( 0 ) = ϕ ' ( 1 ) - 1 = 0.   We establish the lower and upper bounds for the best constants σ 0
Hu, Zhenyong   +2 more
openaire   +1 more source

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