Bounds of Hankel Determinant for a Class of Univalent Functions

Verma, Sarika; Gupta, Sushma; Singh, Sukhjit

doi:10.1155/2012/147842

Cited by 5 publications

(4 citation statements)

References 4 publications

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“…Similar to the above discussions defined as different classes of analytic functions, we can also refer to [39][40][41][42][43][44][45][46][47][48][49].…”

Section: Definitionmentioning

confidence: 99%

Upper Bound of Second Hankel Determinant for Certain Subclasses of Analytic Functions

Liu

Yang

2014

Abstract and Applied Analysis

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In this present investigation, we first give a survey of the work done so far in this area of Hankel determinant for univalent functions. Then the upper bounds of the second Hankel determinant|a2a4−a32|for functions belonging to the subclassesS(α,β),K(α,β),Ss∗(α,β), andKs(α,β)of analytic functions are studied. Some of the results, presented in this paper, would extend the corresponding results of earlier authors.

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“…Similar to the above discussions defined as different classes of analytic functions, we can also refer to [39][40][41][42][43][44][45][46][47][48][49].…”

Section: Definitionmentioning

confidence: 99%

Upper Bound of Second Hankel Determinant for Certain Subclasses of Analytic Functions

Liu

Yang

2014

Abstract and Applied Analysis

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“…Recently, the bounds for the second or third Hankel determinants for different subclasses of univalent or multivalent functions have been investigated by many authors (e.g. see [6], [26], [28], [32], [33]). Hankel determinants for various classes of bi-univalent functions have been also considered (e.g.…”

Section: Introductionmentioning

confidence: 99%

Second Hankel determinant for a class of analytic functions defined by q-derivative operator

Răducanu

2019

Analele Universitatii "Ovidius" Constanta - Seria Matematica

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“…Second Hankel determinant for various subclasses of analytic functions were obtained by different researchers including Janteng et al [14], Mishra and Gochhayat [20] and Murugusundaramoorthy and Magesh [21]. For some more recent works see [1,3,4,11,12,13,15,31].…”

Section: Introductionmentioning

confidence: 99%

Coefficient inequalities for a class of analytic functions associated with the lemniscate of Bernoulli

Panigrahi

Sokół

2018

B Soc Paran Mat

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In this paper, a new subclass of analytic functions M L * λ associated with the right half of the lemniscate of Bernoulli is introduced. The sharp upper bound for the Fekete-Szegö functional |a 3 − µa 2 2 | for both real and complex µ are considered. Further, the sharp upper bound to the second Hankel determinant |H 2 (1)| for the function f in the class M L * λ using Toeplitz determinant is studied. Relevances of the main results are also briefly indicated.

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Bounds of Hankel Determinant for a Class of Univalent Functions

Cited by 5 publications

References 4 publications

Upper Bound of Second Hankel Determinant for Certain Subclasses of Analytic Functions

Upper Bound of Second Hankel Determinant for Certain Subclasses of Analytic Functions

Second Hankel determinant for a class of analytic functions defined by q-derivative operator

Coefficient inequalities for a class of analytic functions associated with the lemniscate of Bernoulli

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