New Subclasses of Multivalent Analytic Functions Associated with a Linear Operator

Ding-Gong Yang, Jin-Lin Liu
2013 Abstract and Applied Analysis  
Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we consider two subclasses 𝐹 𝑝,𝑛 (𝑎, 𝑐, 𝜆, 𝐴, 𝐵) and 𝐺 𝑝,𝑛 (𝑎, 𝑐, 𝜆, 𝐴, 𝐵) of multivalent analytic functions with negative coefficients in the open unit disk. Some modified Hadamard products, integral transforms, and the partial sums of functions belonging to these classes are studied.
doi:10.1155/2013/849747 fatcat:xw7hxpzo2fbmtnhpy4ymght6uy