An Unified Approach to Second Hankel Determinant of Bi-Subordinate Functions

Kanas, S.; Adegani, Ebrahim Analouei; Zireh, Ahmad

doi:10.1007/s00009-017-1031-6

Cited by 38 publications

(23 citation statements)

References 15 publications

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“…Very recently, the upper bounds of H 2 (2) for the classes S * σ (β) and K σ (β) were discussed by Deniz et al [14]. Later, the upper bounds of H 2 (2) for various subclasses of σ were obtained by Altınkaya and Yalçın [6,7], Ç aglar et al [11], Kanas et al [22] and Orhan et al [32] (see also [28,33]).…”

Section: Introduction and Definitionsmentioning

confidence: 99%

Second Hankel determinant for certain class of bi-univalent functions defined by Chebyshev polynomials

Orhan

Magesh²,

Balaji

2019

Asian-European J. Math.

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Section: Introduction and Definitionsmentioning

confidence: 99%

Second Hankel determinant for certain class of bi-univalent functions defined by Chebyshev polynomials

Orhan

Magesh²,

Balaji

2019

Asian-European J. Math.

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“…e exact bound for the family of Ma-Minda star-like functions was measured in [22], see also [23]. For more work on |HD 2,2 (g)|, see references [24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

A Study of Third and Fourth Hankel Determinant Problem for a Particular Class of Bounded Turning Functions

Kaur

Singh²,

Arif

et al. 2021

Mathematical Problems in Engineering

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In this present paper, a new generalized class ℛ p , q from the family of function with bounded turning was introduced by using p , q - derivative operator. Our aim for this class is to find out the upper bound of third- and fourth-order Hankel determinant. Moreover, the upper bounds for two-fold and three-fold symmetric functions for this class are also obtained.

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“…In addition, Fekete and Szegö [11] introduced the generalized functional a 3 − λa 2 2 , where λ is a real number. Recently, Hankel determinants and other problems for various classes of bi-univalent functions have been studied, see [12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Argument and Coefficient Estimates for Certain Analytic Functions

et al. 2020

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The aim of the present paper is to introduce a new class G α , δ of analytic functions in the open unit disk and to study some properties associated with strong starlikeness and close-to-convexity for the class G α , δ . We also consider sharp bounds of logarithmic coefficients and Fekete-Szegö functionals belonging to the class G α , δ . Moreover, we provide some topics related to the results reported here that are relevant to outcomes presented in earlier research.

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An Unified Approach to Second Hankel Determinant of Bi-Subordinate Functions

Cited by 38 publications

References 15 publications

Second Hankel determinant for certain class of bi-univalent functions defined by Chebyshev polynomials

Second Hankel determinant for certain class of bi-univalent functions defined by Chebyshev polynomials

A Study of Third and Fourth Hankel Determinant Problem for a Particular Class of Bounded Turning Functions

Argument and Coefficient Estimates for Certain Analytic Functions

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