Results 1 to 10 of about 51,196 (253)
Logarithmic Coefficients for Some Classes Defined by Subordination
Axioms, 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 +4 more sources
Journal of Function Spaces, 2021 It is well-known that the logarithmic coefficients play an important role in the development of the theory of univalent functions. If S denotes the class of functions fz=z+∑n=2∞anzn analytic and univalent in the open unit disk U, then the logarithmic ...
Davood Alimohammadi +3 more
doaj +3 more sources
Fractal 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 +3 more sources
Successive Logarithmic Coefficients of Univalent Functions
Computational 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 +3 more sources
Estimates of logarithmic coefficients of univalent functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1993 In this paper, we derive some consequences of Milin's inequallty for the logarithmic coefficients of a univalent function by exploiting a reformulation of it.
Stephen M. Zemyan
doaj +2 more sources
Upper bounds of the logarithmic coefficients for some subclasses of analytic functions
Journal 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
Logarithmic Coefficients Inequality for the Family of Functions Convex in One Direction
Mathematics, 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 +3 more sources
Logarithmic Coefficients for Univalent Functions Defined by Subordination
Mathematics, 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 +3 more sources
Logarithmic Coefficients of the Inverse of Univalent Functions [PDF]
Results in Mathematics, 2018 17 pages; To appear in Results in ...
Saminathan Ponnusamy +2 more
exaly +3 more sources
The Third Logarithmic Coefficient for Certain Close-to-Convex Functions
Journal of Mathematics, 2022 The logarithmic coefficients γn of a normalized analytic functions f are defined by log fz/z=2∑n=1∞γnzn. For certain close-to-convex functions fz=z+a2z2+⋯, Cho et al. (on the third logarithmic coefficient in some subclasses of close-to-convex functions)
Najla M. Alarifi
doaj +2 more sources