Certain Subclasses of Analytic Functions Associated with Generalized Telephone Numbers

被引：16
作者：
Murugusundaramoorthy, Gangadharan [1 ]
Vijaya, Kaliappan [1 ]
机构：
[1] Vellore Inst Technol, Sch Adv Sci, Vellore 632014, Tamil Nadu, India
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 05期
关键词：
analytic functions; convex functions; starlike functions; subordination; Hadamard product; Fekete-Szego inequality; Poisson distribution series; Borel distribution series; FEKETE-SZEGO PROBLEM; TO-CONVEX FUNCTIONS; STARLIKE FUNCTIONS; RADIUS PROBLEMS; INEQUALITY; UNIVALENT;
D O I：
10.3390/sym14051053
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The goal of this article is to contemplate coefficient estimates for a new class of analytic functions f associated with generalized telephone numbers to originate certain initial Taylor coefficient estimates and Fekete-Szego inequality for f in the new function class. Comparable results have been attained for the function f(-1). Further application of our outcomes to certain functions demarcated by convolution products with certain normalized analytic functions in the open unit disk are specified, and we obtain Fekete-Szego variations for this new function class defined over Poisson and Borel distribution series.
引用
收藏
页数：17
相关论文
共 45 条
  • [1] Starlikness Associated with Cosine Hyperbolic Function
    Alotaibi, Abdullah
    Arif, Muhammad
    Alghamdi, Mohammed A.
    Hussain, Shehzad
    [J]. MATHEMATICS, 2020, 8 (07)
  • [2] On a new generalization of telephone numbers
    Bednarz, Urszula
    Wolowiec-Musial, Malgorzata
    [J]. TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (03) : 1595 - 1603
  • [3] SIMILAR CONSTRUCTIONS FOR YOUNG TABLEAUX AND INVOLUTIONS, AND THEIR APPLICATION TO SHIFTABLE TABLEAUX
    BEISSINGER, JS
    [J]. DISCRETE MATHEMATICS, 1987, 67 (02) : 149 - 163
  • [4] Radius Problems for Starlike Functions Associated with the Sine Function
    Cho, N. E.
    Kumar, V.
    Kumar, S. S.
    Ravichandran, V.
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2019, 45 (01) : 213 - 232
  • [5] ON RECURSIONS CONNECTED WITH SYMMETRIC GROUPS I
    CHOWLA, S
    HERSTEIN, IN
    MOORE, WK
    [J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1951, 3 (03): : 328 - 334
  • [6] Sharp Coefficients Bounds for Starlike Functions Associated with Generalized Telephone Numbers
    Deniz, Erhan
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (03) : 1525 - 1542
  • [7] El-Deeb S.M., 2019, J. Egyptian. Math. Soc., V27, P42, DOI [10.1186/s42787-019-0049-2, DOI 10.1186/S42787-019-0049-2]
  • [8] Applications on a subclass of β-uniformly starlike functions connected with q-Borel distribution
    El-Deeb, Sheza M.
    Murugusundaramoorthy, G.
    [J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (08)
  • [9] Si-Bazilevic functions based on the Mittag-Leffler-type Borel distribution associated with Legendre polynomials
    El-Deeb, Sheza M.
    Murugusundaramoorthy, G.
    Alburaikan, Alhanouf
    [J]. JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2022, 24 (03): : 235 - 245
  • [10] Grenander U., 1958, CALIFORNIA MONOGRAPH
12345