Hankel determinant for a subclass of analytic functions associated with error functions bounded by conical regions

Ramachandran, C.; Dhanalakshmi, K.; Vanitha, L.

doi:10.12988/ijma.2017.7468

Cited by 10 publications

(5 citation statements)

References 4 publications

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“…By seeing the history of Error function in geometric function theory, in the year 2016, Ramachandran et al [13] introduced and studied the normalised error starlike and error convex function in the conical region. Immediately, Ramachandran et al [15] studied the Hankel determinant for the starlike and convex function associated with error function. Then, Ramachandran et al [16] introduced and found the sharp bounds for error close to convex function in 2019.…”

Section: Toeplitz Determinant For Error Starlike and Error Convex Fun...mentioning

confidence: 99%

Toeplitz Determinant For Error Starlike & Error Convex Function

Kavitha¹,

Dhanalakshmi²,

Anitha³

2023

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Normalised Error function has been coined and analyzed in 2018 [13].The concept of normalised error function discussed in [13], motivated us to find the new results of Toeplitz determinant for the subclasses of analytic univalent functions concurrent with error function. By seeing the history of error function in Geometric functions theory, Ramachandran et. al [13] derived the coefficient estimates followed by the Fekete-Szegö problem for the normalised subclasses of starlike and convex functions associated with error function. Finding coefficient estimates is one of the most provoking concepts in geometric function theory. In current scenario scientists are concentrating on special functions which are connected with univalent functions. Based on these concepts, the present paper deals with supremum and infimum of Toeplitz determinant for starlike and convex in terms of error function with convolution product using the concept of subordination. Also, we derive the sharp bounds for probability distribution associated with error starlike and error convex functions.

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Section: Toeplitz Determinant For Error Starlike and Error Convex Fun...mentioning

confidence: 99%

Toeplitz Determinant For Error Starlike & Error Convex Function

Kavitha¹,

Dhanalakshmi²,

Anitha³

2023

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“…It presents in many disciplines of physics, chemistry, biology, thermo mechanics and mass flow. It also occurs in theoretical aspects of many parts of atmosperic science [1,12].…”

Section: Introductionmentioning

confidence: 99%

Goodman-Ronning Type Class of Harmonic Error Function Using Salagean Operator A. M. Gbolagade, I. T. Awolere and A. O. Fadare

2018

Electronic Journal of Mathematical Analysis and Applications

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In this work, the authors wish to establish some results involving coefficient inequality, distortion bounds, extreme points, convolution and convex combinations for a new class of Goodman-Ronning type class T H,n (α, λ, µ, β) of harmonic univalent functions associated with error function using Salagean operator. Varying some of the parameters involved in the established results, new and various well known results are obtained.

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“…which are analytic and obtain from Form (3) and (4) refer to error functions defined by [2] and [15] respectively. Recently, [15] investigated Hankel determinant for subclass of analytic functions associated with error functions bounded by conical regions and obtained interesting results. Also, many researchers have been able to use error function in different direction for detailed see [3], [6], [8].…”

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confidence: 99%

Coefficients Estimates for Some Families of Bi-Bazelevic of Type Alpha(α) Associated with Error Functions

2019

apjm

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A . In the present investigation, the authors are focusing on new subclasses of bi-univalent functions of Bazilevic functions of type α defined in the open disk, which are associated with error functions. Furthermore, estimates on Taylor-Maclaurin coefficients |a 2 | and |a 3 | for the function in the new subclasses introduced were obtained. Fekete-Szego functional a 3 − µa 2 2 belong to new subclasses were also established. varying various parameter involved several known or new results were derived. 2010 Mathematics Subject Classification. Primary 30A10, Secondary 26D07.

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Hankel determinant for a subclass of analytic functions associated with error functions bounded by conical regions

Abstract: In the present work, the authors are focusing to study the best possible upper bound to the second Hankel determinants of the univalent error functions in the open disk using subordination.

Cited by 10 publications

References 4 publications

Toeplitz Determinant For Error Starlike & Error Convex Function

Toeplitz Determinant For Error Starlike & Error Convex Function

Goodman-Ronning Type Class of Harmonic Error Function Using Salagean Operator A. M. Gbolagade, I. T. Awolere and A. O. Fadare

Coefficients Estimates for Some Families of Bi-Bazelevic of Type Alpha(α) Associated with Error Functions

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