Coefficient functionals for a class of bounded turning functions connected to three leaf function

Murugusundaramoorthy, G.; Khan, Muhammmad Ghaffar; Ahmad, B.; Mashwani, V. K.; Abdeljawad, T.; Salleh, Z.

doi:10.22436/jmcs.028.03.01

Cited by 5 publications

(1 citation statement)

References 24 publications

(25 reference statements)

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“…For a class of univalent functions as a whole, Kruskal introduced and demonstrated this inequality in [23]. For some recent investigations on Kruskal inequality, we refer the readers to see [15,24].…”

Section: Kruskal Inequalitymentioning

confidence: 99%

Sufficiency Conditions for a Class of Convex Functions Connected with Tangent Functions Associated with the Combination of Babalola Operators and Binomial Series

El-Deeb,

Cotîrlă

2024

Mathematics

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In this paper, we create a new subclass of convex functions given with tangent functions applying the combination of Babalola operators and Binomial series. Moreover, we obtain several important geometric results, including sharp coefficient bounds, sharp Fekete–Szego inequality, Kruskal inequality, and growth and distortion estimates. Furthermore, for functions with logarithmic coefficients, we compute sharp Fekete–Szego inequality and sharp coefficient bounds.

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Section: Kruskal Inequalitymentioning

confidence: 99%

Sufficiency Conditions for a Class of Convex Functions Connected with Tangent Functions Associated with the Combination of Babalola Operators and Binomial Series

El-Deeb,

Cotîrlă

2024

Mathematics

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

Swarup

2023

Symmetry

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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 contribution of this study covers the derivation of sharp coefficient bounds in open unit disk U, especially the first three coefficient bounds, Fekete–Szego type functional, and upper bounds of second- and third-order Hankel determinant for the functions to this class. We also use Zalcman and generalized Zalcman conjectures to investigate the coefficient bounds of a newly defined class of functions. Furthermore, some known corollaries are highlighted based on the unique choices of the involved parameters l and q.

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Sharp estimate for starlikeness related to a tangent domain

Khan,

Ro,

Khan

2024

MATH

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In the recent years, the study of the Hankel determinant problems have been widely investigated by many researchers. We were essentially motivated by the recent research going on with the Hankel determinant and other coefficient bounds problems. In this research article, we first considered the subclass of analytic starlike functions connected with the domain of the tangent function. We then derived the initial four sharp coefficient bounds, the sharp Fekete-Szegö inequality, and the sharp second and third order Hankel determinant for the defined class. Also, we derived sharp estimates like sharp coefficient bounds, Fekete-Szegö estimate, and sharp second order Hankel determinant for the functions having logarithmic coefficient and for the inverse coefficient, respectively, for the defined functions class.

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Coefficient functionals for a class of bounded turning functions connected to three leaf function

Cited by 5 publications

References 24 publications

Sufficiency Conditions for a Class of Convex Functions Connected with Tangent Functions Associated with the Combination of Babalola Operators and Binomial Series

Sufficiency Conditions for a Class of Convex Functions Connected with Tangent Functions Associated with the Combination of Babalola Operators and Binomial Series

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

Sharp estimate for starlikeness related to a tangent domain

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