Results 11 to 20 of about 3,000,077 (274)

Logarithmic Coefficients for Some Classes Defined by Subordination

open access: yesAxioms, 2023
In this paper, we obtain the sharp and accurate bounds for the logarithmic coefficients of some subclasses of analytic functions defined and studied in earlier works.
Ebrahim Analouei Adegani   +3 more
doaj   +5 more sources

Successive Logarithmic Coefficients of Univalent Functions

open access: yesComputational Methods and Function Theory, 2023
AbstractThe paper deals with logarithmic coefficients of univalent functions. The sharp lower and upper estimations of $$|\gamma _2(f)|-|\gamma _1(f)|$$ | γ 2
Adam Lecko, Lecko Adam
exaly   +4 more sources

Third Hankel Determinant for the Logarithmic Coefficients of Starlike Functions Associated with Sine Function

open access: yesFractal and Fractional, 2022
The logarithmic functions have been used in a verity of areas of mathematics and other sciences. As far as we know, no one has used the coefficients of logarithmic functions to determine the bounds for the third Hankel determinant.
Bilal Khan   +3 more
doaj   +4 more sources

Sharp Bounds for the Second Hankel Determinant of Logarithmic Coefficients for Strongly Starlike and Strongly Convex Functions

open access: yesAxioms, 2022
The logarithmic coefficients are very essential in the problems of univalent functions theory. The importance of the logarithmic coefficients is due to the fact that the bounds on logarithmic coefficients of f can transfer to the Taylor coefficients of ...
Sevtap Sümer Eker   +3 more
doaj   +4 more sources

Logarithmic Coefficients Inequality for the Family of Functions Convex in One Direction

open access: yesMathematics, 2023
The logarithmic coefficients play an important role for different estimates in the theory of univalent functions. Due to the significance of the recent studies about the logarithmic coefficients, the problem of obtaining the sharp bounds for the modulus ...
Ebrahim Analouei Adegani   +3 more
doaj   +4 more sources

Logarithmic Coefficients for Univalent Functions Defined by Subordination

open access: yesMathematics, 2019
In this work, the bounds for the logarithmic coefficients γ n of the general classes S * ( φ ) and K ( φ ) were estimated.
Ebrahim Analouei Adegani   +2 more
doaj   +4 more sources

Sharp Bounds of Hankel Determinant on Logarithmic Coefficients for Functions of Bounded Turning Associated with Petal-Shaped Domain

open access: yesMathematics, 2022
The purpose of this article is to obtain the sharp estimates of the first four initial logarithmic coefficients for the class BTs of bounded turning functions associated with a petal-shaped domain.
Lei Shi   +4 more
doaj   +4 more sources

Hankel Determinant of Logarithmic Coefficients for Tilted Starlike Functions With Respect to Conjugate Points

open access: yesInternational Journal of Analysis and Applications, 2023
The growth of the Hankel determinant whose elements are logarithmic coefficients for different subclasses of univalent functions has recently attracted considerable interest.
Daud Mohamad   +1 more
doaj   +2 more sources

Upper bounds of the logarithmic coefficients for some subclasses of analytic functions

open access: yesJournal of Inequalities and Applications, 2023
Due to the major importance of the study of the logarithmic coefficients for univalent functions, in this paper we find the sharp upper bounds for some expressions associated with logarithmic coefficients of functions that belong to some well-known ...
Ebrahim Analouei Adegani   +3 more
doaj   +2 more sources

Simple proofs of certain inequalities with logarithmic coefficients of univalent functions [PDF]

open access: yesResearches in Mathematics, 2023
In this paper, we give simple proofs for the bounds (some of them sharp) of the difference of the moduli of the second and the first logarithmic coefficient for the general class of univalent functions and for the class of convex univalent functions.
M. Obradović, N. Tuneski
doaj   +2 more sources

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