UPPER BOUNDS OF SECOND HANKEL DETERMINANT FOR UNIVERSALLY PRESTARLIKE FUNCTIONS

被引：3

作者：

Ahuja, Om ^{[1
]}

Kasthuri, Murugesan ^{[2
]}

Murugusundaramoorthy, Gangadharan ^{[3
]}

Vijaya, Kaliappan ^{[3
]}

机构：

[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

[2] DKM Coll Women Autonomous, Dept Math, Vellore 632001, Tamil Nadu, India

[3] VIT Univ, Dept Math, Sch Adv Sci, Vellore 632014, Tamil Nadu, India

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2018年 / 55卷 / 05期

关键词：

analytic functions; prestarlike functions; universally prestarlike functions; second Hankel determinant;

D O I：

10.4134/JKMS.j160143

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In [12,13] the researchers introduced universally convex, universally starlike and universally prestarlike functions in the slit domain C\[1,infinity). These papers extended the corresponding notions from the unit disc to other discs and half-planes containing the origin. In this paper, we introduce universally prestarlike generalized functions of order alpha with alpha <= 1 and we obtain upper bounds of the second Hankel determinant vertical bar alpha(2)alpha(4) - alpha(2)(3)vertical bar for such functions.

引用

页码：1019 / 1030

页数：12

共 50 条

[1] Second Hankel determinant for universally prestarlike functions related with exponential function
Guney, H. Ozlem
Murugusundaramoorthy, G.
Vijaya, K.
[J]. AFRIKA MATEMATIKA, 2021, 32 (5-6) : 685 - 694
[2] Second Hankel determinant for universally prestarlike functions related with exponential function
H. Özlem Güney
G. Murugusundaramoorthy
K. Vijaya
[J]. Afrika Matematika, 2021, 32 : 685 - 694
[3] Bounds for the second Hankel determinant of certain univalent functions
Lee, See Keong
Ravichandran, V.
Supramaniam, Shamani
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[4] Bounds for the second Hankel determinant of certain univalent functions
See Keong Lee
V Ravichandran
Shamani Supramaniam
[J]. Journal of Inequalities and Applications, 2013
[5] An Upper Bound to the Second Hankel Determinant for Functions in Mocanu Class
Vamshee Krishna D.
Thoutreddy R.R.
[J]. Vietnam Journal of Mathematics, 2015, 43 (3) : 541 - 549
[6] Upper Bounds of the Third Hankel Determinant for Close-to-Convex Functions
Zaprawa, Pawel
Trabka-Wieclaw, Katarzyna
[J]. SYMMETRY-BASEL, 2022, 14 (05):
[7] A note on universally prestarlike functions
Shanmugam, Tirunelveli Nellaiappan
Mary, Joseph Lourthu
[J]. STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2012, 57 (01): : 53 - 60
[8] Bounds for the Second Hankel Determinant of Certain Generalized Class of Analytic Functions
Mohamed, Norlyda
Malek, Aminah Abdul
Roslan, Nur Hawani
Rahman, Nurhanis Abdul
Kamal, Zammariyah Mustafa
[J]. 4TH INNOVATION AND ANALYTICS CONFERENCE & EXHIBITION (IACE 2019), 2019, 2138
[9] Bounds for the second Hankel determinant of certain bi-univalent functions
Orhan, Halit
Magesh, Nanjundan
Yamini, Jagadeesan
[J]. TURKISH JOURNAL OF MATHEMATICS, 2016, 40 (03) : 679 - 687
[10] Universally prestarlike functions as convolution multipliers
Ruscheweyh, Stephan
Salinas, Luis
[J]. MATHEMATISCHE ZEITSCHRIFT, 2009, 263 (03) : 607 - 617

← 1 2 3 4 5 →