On a Certain Subclass of p-Valent Analytic Functions Involving q-Difference Operator

被引：3

作者：

Lashin, Abdel Moneim Y. ^{[1
,2
]}

Badghaish, Abeer O. ^{[1
]}

Algethami, Badriah Maeed ^{[1
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 01期

关键词：

analytic functions; q-difference operator; q-binomial theorem; Salagean differential operator; fractional q-calculus operators; q-Bernardi integral operator; Q-STARLIKE FUNCTIONS; INEQUALITIES; COEFFICIENTS;

D O I：

10.3390/sym15010093

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：

This paper introduces and studies a new class of analytic p-valent functions in the open symmetric unit disc involving the Salagean-type q-difference operator. Furthermore, we present several interesting subordination results, coefficient inequalities, fractional q-calculus applications, and distortion theorems.

引用

页数：13

共 39 条

[31] VARIATIONAL METHOD FOR CLASSES OF MEROMORPHIC FUNCTIONS [J].

PFALTZGRAFF, JA ;

PINCHUK, B .

JOURNAL D ANALYSE MATHEMATIQUE, 1971, 24 :101-+

[32]

Purohit SD, 2015, KUWAIT J SCI, V42, P1

[33]

Purohit SD, 2011, MATH SCAND, V109, P55

[34] Certain Subclasses of Meromorphically q-Starlike Functions Associated with the q-Derivative Operators [J].

Srivastava, H. M. ;

Tahir, M. ;

Khan, B. ;

Darus, M. ;

Khan, N. ;

Ahmad, Q. Z. .

UKRAINIAN MATHEMATICAL JOURNAL, 2022, 73 (09) :1462-1477

[35] Some General Families of q-Starlike Functions Associated with the Janowski Functions [J].

Srivastava, H. M. ;

Tahir, Muhammad ;

Khan, Bilal ;

Ahmad, Qazi Zahoor ;

Khan, Nazar .

FILOMAT, 2019, 33 (09) :2613-2626

[36] Coefficient inequalities for q-starlike functions associated with the Janowski functions [J].

Srivastava, H. M. ;

Khan, Bilal ;

Khan, Nazar ;

Ahmad, Qazi Zahoor .

HOKKAIDO MATHEMATICAL JOURNAL, 2019, 48 (02) :407-425

[37]

Srivastava H.M., 2004, J INEQUALITIES PURE, V5, P1

[38] A Certain Subclass of Multivalent Analytic Functions Defined by the q-Difference Operator Related to the Janowski Functions [J].

Wang, Bo ;

Srivastava, Rekha ;

Liu, Jin-Lin .

MATHEMATICS, 2021, 9 (14)

[39]

Wilf H. S., 1961, Proc. Amer. Math. Soc., V12, P689, DOI DOI 10.1090/S0002-9939-1961-0125214-5

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