In this investigation, the q-difference operator and S?l?gean q-differential are utilized to establish novel subclasses of analytical bi-close-to-convex functions. We determine general Taylor–Maclaurin coefficient functions in class using Faber polynomial method. demonstrate unpredictable behaviour initial coefficients a2, a3 investigate Fekete–Szeg? problem a3?a22 for To highlight connections ...

In this present investigation, the authors obtain Fekete-Szegö’s inequality for certain normalized analytic functions f(z) defined on the open unit disk for which zf ′(z)+αz2f ′′(z) (1−α)f(z)+αzf ′(z) (α ≥ 0) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by convolution are...

In the field of Geometric Function Theory, one can not deny the importance of analytic and univalent functions. The characteristics of these functions including their taylor series expansion, their coefficients in these representations as well as their associated functional inequalities have always attracted the researchers. In particular, Fekete-Szegö inequality is one of such vastly studied a...

Sharp bounds for japþ2 lapþ1j and jap+3j are derived for certain p-valent analytic functions. These are applied to obtain Fekete-Szegö like inequalities for several classes of functions defined by convolution. 2006 Elsevier Inc. All rights reserved.

In this paper, we obtain initial coefficient bounds for functions belong to a comprehensive subclass of univalent functions by using the Chebyshev polynomials and also we find Fekete-Szegö inequalities for this class. All results are sharp.

We obtain the Fekete-Szegö inequalities for the classes S S,Σ (*)(α, ϕ) and £ S,Σ(α, ϕ) of biunivalent functions denoted by subordination. The results presented in this paper improve the recent work of Crisan (2013).

Let $\mathcal{S}^{\ast}_{L}(\lambda)$ be the class of functions $f$, analytic in unit disc $\Delta=\{z:|z|<1\}$, with normalization $f(0)=f'(0)-1=0$, which satisfy condition\begin{equation*}\frac{zf'(z)}{f(z)}\prec \left(1+z\right)^{\lambda},\end{equation*}where $\prec$ is subordination relation. The a subfamily known strongly starlike order $\lambda$. In this paper,the relations between and...

We investigate spectral features of the Dirac operator with infinite mass boundary conditions in a smooth bounded domain $\mathbb{R}^2$. Motivated by geometric inequalities, we prove non-linear variational formulation to characterize its principal eigenvalue. This characterization turns out be very robust and allows for simple proof Szeg\"o type inequality as well new reformulation Faber-Krahn ...