Results 21 to 30 of about 3,000,077 (274)

Sharp Bounds of Hankel Determinant on Logarithmic Coefficients for Functions Starlike with Exponential Function

Fractal and Fractional, 2022
Using the Lebedev–Milin inequalities, bounds on the logarithmic coefficients of an analytic function can be transferred to estimates on coefficients of the function itself and related functions.
Lei Shi, Muhammad Arif, Javed Iqbal, Khalil Ullah, Syed Muhammad Ghufran   +4 more
doaj   +2 more sources

Logarithmic coefficients and a coefficient conjecture for univalent functions [PDF]

Monatshefte für Mathematik, 2017
11 pages, 4 figures; To appear in Monatshefte fuer Mathematik; In the earlier version, there were a couple of small mistakes (see the proof of Theorem 1) but the statement remains the ...
Obradović, Milutin, Ponnusamy, Saminathan, Wirths, Karl,J.   +2 more
semanticscholar   +7 more sources

Logarithmic Coefficient Bounds and Coefficient Conjectures for Classes Associated with Convex Functions

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, Ebrahim Analouei Adegani, Teodor Bulboacă, Nak Eun Cho   +3 more
doaj   +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

Logarithmic Coefficients of the Inverse of Univalent Functions [PDF]

Results in Mathematics, 2018
17 pages; To appear in Results in ...
Saminathan Ponnusamy, Navneet Lal Sharma, Karl-Joachim Wirths   +2 more
openaire   +4 more sources

Sharp inequalities for logarithmic coefficients and their applications [PDF]

Bulletin des Sciences Mathématiques, 2021
20 pages, 4 ...
Saminathan Ponnusamy, Toshiyuki Sugawa
openaire   +5 more sources

Hankel Determinants for the Logarithmic Coefficients of a Subclass of Close-to-Star Functions

Journal of Mathematics
Suppose that ST1 is a class of close-to-star functions. In this paper, we investigated the estimate of Zalcman functional on the logarithmic coefficients and the third Hankel determinant for the class ST1 with the determinant entry of logarithmic ...
Dong Guo, Huo Tang, Jun Zhang, Qingbing Xu, Zongtao Li   +4 more
doaj   +2 more sources

Moduli difference of inverse logarithmic coefficients of univalent functions [PDF]

Journal of Mathematical Analysis and Applications
Let $f$ be analytic in the unit disk and $\mathcal{S}$ be the subclass of normalized univalent functions with $f(0) = 0$, and $f'(0) = 1$. Let $F$ be the inverse function of $f$, given by $F(w)=w+\sum_{n=2}^{\infty}A_nw^n$ defined on some disk $|w|\le ...
Vasudevarao Allu
exaly   +2 more sources

LOGARITHMIC COEFFICIENTS OF SOME CLOSE-TO-CONVEX FUNCTIONS [PDF]

Bulletin of the Australian Mathematical Society, 2016
The logarithmic coefficients$\unicode[STIX]{x1D6FE}_{n}$of an analytic and univalent function$f$in the unit disc$\mathbb{D}=\{z\in \mathbb{C}:|z|<1\}$with the normalisation$f(0)=0=f^{\prime }(0)-1$are defined by$\log (f(z)/z)=2\sum _{n=1}^{\infty }\unicode[STIX]{x1D6FE}_{n}z^{n}$.
Ali, Md. Firoz, Vasudevarao, A.
openaire   +7 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