Certain subclasses of p- valent functions defined by multiplier transformations

被引:0
作者
Deniz, Erhan [1 ]
Ozkan, Yucel [1 ]
Kazimoglu, Sercan [1 ]
Senger, Oznur [1 ]
机构
[1] Kafkas Univ, Fac Sci & Letters, Dept Math, Kars, Turkiye
关键词
Multiplier transformations; Analytic functions; p-valent functions; Neighborhoods and Partial sums of analytic functions; Fractional calculus operators; FRACTIONAL DERIVATIVE OPERATOR; MULTIVALENT-FUNCTIONS; ANALYTIC-FUNCTIONS; NEGATIVE COEFFICIENTS; NEIGHBORHOODS; FAMILIES; STARLIKE; CONVEX;
D O I
10.1007/s13370-023-01049-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present paper, making use of the operator D-p(delta)(lambda, mu,l), two new subclasses S-lambda,mu,l(delta)(A, B; sigma,p) and ST lambda,mu,l delta(A, B; sigma,p) of p-valent functions are investigated in the open unit disk. Some interesting relations and characteristics such as inclusion relationships, neighborhoods, partial sums and some applications of fractional calculus of functions belonging to each of these subclasses S-lambda,mu,l(delta)(A, B; sigma,p) and ST lambda,mu,l delta(A, B; sigma,p) are investigated. Relevant connections of the definitions and results presented in this paper with those obtained in several earlier works on the subject are also pointed out.
引用
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页数:19
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