Geometric Properties for a New Class of Analytic Functions Defined by a Certain Operator

被引：5
|
作者：
Breaz, Daniel [1 ]
Murugusundaramoorthy, Gangadharan [2 ]
Cotirla, Luminita-Ioana [3 ]
机构：
[1] 1 Decembrie 1918 Univ Alba Iulia, Dept Math, Alba Lulia 510009, Romania
[2] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India
[3] Tech Univ Cluj Napoca, Dept Math, Cluj Napoca 400114, Romania
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 12期
关键词：
holomorphic function; Fekete-Szego problem; analytic functions; upper bounds; starlike function; Q-STARLIKE FUNCTIONS; COEFFICIENT INEQUALITIES; Q-DERIVATIVES; SUBCLASSES; CONVEX; (P;
D O I：
10.3390/sym14122624
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 aim of this paper is to define and explore a certain class of analytic functions involving the (p,q)-Wanas operator related to the Janowski functions. We discuss geometric properties, growth and distortion bounds, necessary and sufficient conditions, the Fekete-Szego problem, partial sums, and convex combinations for the newly defined class. We solve the Fekete-Szego problem related to the convolution product and discuss applications to probability distribution.
引用
收藏
页数：16
相关论文
共 50 条
  • [31] On certain class of analytic functions defined by differential subordination
    Liu, MS
    ACTA MATHEMATICA SCIENTIA, 2002, 22 (03) : 388 - 392
  • [32] On certain classes of analytic functions defined by Noor integral operator
    Noor, KI
    Noor, MA
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 281 (01) : 244 - 252
  • [33] Majorization for Certain Classes of Analytic Functions Defined by a Generalized Operator
    Selvaraj, C.
    Selvakumaran, K. A.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2010, 3 (06): : 1048 - 1054
  • [34] Properties of certain class of analytic functions with varying arguments defined by Ruscheweyh derivative
    Pall-Szabo, Agnes Orsolya
    Engel, Olga
    ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2015, 7 (02) : 278 - 286
  • [35] Second Hankel Determinant for the Class of Analytic Functions Defined by New Differential Operator
    Eghbiq, Abdussalam
    Darus, Maslina
    2017 UKM FST POSTGRADUATE COLLOQUIUM, 2018, 1940
  • [36] Geometric Properties and Neighborhoods of Certain Subclass of Analytic Functions Defined by Using Bell Distribution
    Amourah, Ala
    Alnajar, Omar
    Salah, Jamal
    Darus, Maslina
    CONTEMPORARY MATHEMATICS, 2024, 5 (04): : 5473 - 5481
  • [37] Geometric Properties of Certain Classes of Analytic Functions Associated with a q-Integral Operator
    Mahmood, Shahid
    Raza, Nusrat
    AbuJarad, Eman S. A.
    Srivastava, Gautam
    Srivastava, H. M.
    Malik, Sarfraz Nawaz
    SYMMETRY-BASEL, 2019, 11 (05):
  • [38] 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
  • [39] Some Geometric Properties of Analytic Functions Involving a New Fractional Operator
    Sharma, Poonam
    Raina, R. K.
    Salagean, G. S.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (06) : 4591 - 4605
  • [40] Some Geometric Properties of Analytic Functions Involving a New Fractional Operator
    Poonam Sharma
    R. K. Raina
    G. S. Sălăgean
    Mediterranean Journal of Mathematics, 2016, 13 : 4591 - 4605
12345