A study of sharp coefficient bounds for a new subfamily of starlike functions

K Ullah, HM Srivastava, A Rafiq, M Arif… - Journal of Inequalities and …, 2021 - Springer
In this article, by employing the hyperbolic tangent function tanh z, a subfamily S tanh∗
S_\tanh^∗ of starlike functions in the open unit disk D⊂ CD⊂C: D= z: z∈ C and| z|< 1 …

The second Hankel determinant for subclasses of bi-univalent functions associated with a nephroid domain

HM Srivastava, G Murugusundaramoorthy… - Revista de la Real …, 2022 - Springer
In the present paper, we obtain the estimates for the first two initial Taylor-Maclaurin
coefficients and for the upper bounds of the Fekete-Szegö functional for new subclasses of …

Third Hankel determinant for the logarithmic coefficients of starlike functions associated with sine function

B Khan, I Aldawish, S Araci, MG Khan - Fractal and Fractional, 2022 - mdpi.com
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 …

Some sharp bounds of the third-order Hankel determinant for the inverses of the Ozaki type close-to-convex functions

HM Srivastava, B Rath, KS Kumar… - Bulletin des Sciences …, 2024 - Elsevier
The main object of this article is to present the sharp bounds of the third-order Hankel
determinant for functions in a subclass of normalized analytic functions in the open unit disk …

[PDF][PDF] Third Hankel determinant and Zalcman functional for a class of starlike functions with respect to symmetric points related with sine function

GK Muhammad, A Bakhtiar… - J. Math. Computer …, 2022 - eprints.lmu.edu.ng
In this article we define a class of starlike functions with respect to symmetric points in the
domain of sine function. Also, we investigate coefficients bounds and upper bounds for the …

Sharp Coefficient Bounds for a New Subclass of q-Starlike Functions Associated with q-Analogue of the Hyperbolic Tangent Function

C Swarup - Symmetry, 2023 - mdpi.com
In this study, by making the use of q-analogous of the hyperbolic tangent function and a
Sălăgean q-differential operator, a new class of q-starlike functions is introduced. The prime …

The second Hankel determinant of logarithmic coefficients for strongly Ozaki close-to-convex functions

S Sümer Eker, A Lecko, B Çekiç, B Şeker - Bulletin of the Malaysian …, 2023 - Springer
The aim of this paper is to determine sharp bound for the second Hankel determinant of
logarithmic coefficients H 2, 1 (F f/2) of strongly Ozaki close-to-convex functions in the open …

[PDF][PDF] Upper bound of the third Hankel determinant for a subclass of q-starlike functions associated with Lemniscate of Bernoulli

N Khan, M Shafiq, M Darus, B Khan, QZ Ahmad - J. Math. Inequal, 2020 - researchgate.net
In this paper, we use q-derivative operator to define a new subclass of starlike functions
related with the lemniscate of Bernoulli. For this function class we obtain upper bound of the …

Sharp bounds for the second Hankel determinant of logarithmic coefficients for strongly starlike and strongly convex functions

S Sümer Eker, B Şeker, B Çekiç, M Acu - Axioms, 2022 - mdpi.com
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 …

Certain Coefficient Problems for q-Starlike Functions Associated with q-Analogue of Sine Function

Y Taj, S Zainab, Q Xin, FMO Tawfiq, M Raza, SN Malik - Symmetry, 2022 - mdpi.com
This study introduces a subclass S qs* of starlike functions associated with the q-analogue
of the sine function defined in symmetric unit disk. This article comprises the investigation of …