Logarithmic Coefficients for Some Classes Defined by Subordination

被引：2
|
作者：
Adegani, Ebrahim Analouei [1 ]
Motamednezhad, Ahmad [1 ]
Bulboaca, Teodor [2 ]
Cho, Nak Eun [3 ]
机构：
[1] Shahrood Univ Technol, Fac Math Sci, POB 31636155, Shahrood, Iran
[2] Babes Bolyai Univ, Fac Math & Comp Sci, Cluj Napoca 400084, Romania
[3] Pukyong Natl Univ, Coll Nat Sci, Dept Appl Math, Pusan 608737, South Korea
来源：
AXIOMS | 2023年 / 12卷 / 04期
关键词：
Hankel determinant; logarithmic coefficients; univalent functions; alpha-spiral-like functions; subordination; Ma-Minda-type function; HANKEL DETERMINANTS; UNIVALENT; STARLIKE;
D O I：
10.3390/axioms12040332
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we obtain the sharp and accurate bounds for the logarithmic coefficients of some subclasses of analytic functions defined and studied in earlier works. Furthermore, we obtain the bounds of the second Hankel determinant of logarithmic coefficients for a class defined by subordination, such as the class of starlike functions S*(f). Some applications of our results, which are extensions of those reported in earlier papers are given here as special cases. In addition, the results given can be used for other popular subclasses.
引用
收藏
页数：13
相关论文
共 50 条
  • [31] Some Subordination Results of Multivalent Functions Defined by Integral Operator
    Öznur Özkan
    Journal of Inequalities and Applications, 2007
  • [32] Arithmetical properties of some series with logarithmic coefficients
    Pilehrood, Khodabakhsh Hessami
    Pilehrood, Tatiana Hessami
    MATHEMATISCHE ZEITSCHRIFT, 2007, 255 (01) : 117 - 131
  • [33] SUBORDINATION THEOREMS FOR SOME CLASSES OF UNIVALENT FUNCTIONS - PRELIMINARY REPORT
    LEWIS, JL
    BARNARD, RW
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (05): : A486 - A486
  • [34] INITIAL COEFFICIENTS FOR GENERALIZED SUBCLASSES OF BI-UNIVALENT FUNCTIONS DEFINED WITH SUBORDINATION
    Singh, Gagandeep
    Singh, Gurcharanjit
    Singh, Gurmeet
    ARCHIVUM MATHEMATICUM, 2022, 58 (02): : 105 - 113
  • [35] Convolution Properties for Certain Classes of Meromorphic p-Valent Functions Defined by Subordination
    Sarkar, N.
    Goswami, P.
    Aouf, M. K.
    THAI JOURNAL OF MATHEMATICS, 2012, 10 (03): : 577 - 585
  • [36] COEFFICIENTS OF STARLIKE FUNCTIONS OF SOME CLASSES
    JAKUBOWSKI, ZJ
    BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1971, 19 (09): : 811 - +
  • [37] ON SUBORDINATION RESULTS FOR CERTAIN NEW CLASSES OF ANALYTIC FUNCTIONS DEFINED BY USING SALAGEAN OPERATOR
    Aouf, M. K.
    El-Ashwah, R. M.
    Hassan, A. A. M.
    Hassan, A. H.
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 4 (01): : 239 - 246
  • [38] A note on some classes of Fourier coefficients
    Tomovski, Z
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 1999, 2 (01): : 15 - 18
  • [39] ON COEFFICIENTS OF SOME CLASSES OF STARLIKE FUNCTIONS
    KACZMARSKI, J
    BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1969, 17 (08): : 495 - +
  • [40] Remarks on some classes of Fourier coefficients
    Živorad Tomovski
    Analysis Mathematica, 2003, 29 (2) : 165 - 170
12345