A Class of Analytic Functions with Missing Coefficients | Zendy

DingGong Yang | Zendy; Jin-Lin Liu | Zendy

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A Class of Analytic Functions with Missing Coefficients

Author(s) -

DingGong Yang,

Jin-Lin Liu

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/456729

Subject(s) - mathematics , subordination (linguistics) , analytic function , convexity , unit disk , convolution (computer science) , class (philosophy) , mathematical analysis , unit (ring theory) , pure mathematics , philosophy , linguistics , mathematics education , machine learning , artificial intelligence , artificial neural network , computer science , financial economics , economics

Let (,,,)(−1≤<1,<,0<≤1 and >0) denote the class of functions of the form∑()=+∞=+1(∈={1,2,3,…}),which are analytic in the open unit disk and satisfythe following subordination condition ()+()≺((1+)/(1+)), for(∈;≤1;0<<1),(1+)/(1+), for(∈;=1). We obtain sharp bounds on Re(),Re()/,|()|,and coefficient estimates for functions()belonging to the class(,,,). Conditions for univalency and starlikeness, convolution properties, and the radius of convexityare also considered

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