The object of the present paper is to investigate some inclusion relationships and a number of other useful properties of several subclasses of multivalent analytic functions, which are defined here by using the Dziok-Srivastava operator. Relevant connections of the results presented here with those
Some classes of analytic and multivalent functions involving a linear operator
β Scribed by N-Eng Xu; Ding-Gong Yang
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 555 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0895-7177
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π SIMILAR VOLUMES
Let A(p, k)(p, k β N = {1, 2, 3, . . .}) be the class of functions f (z) = z p + a p+k z p+k + β’ β’ β’ which are analytic in the unit disk E = {z : |z| < 1}. By using a linear operator L p,k (a, c), we introduce a new subclass T p,k (a, c, Ξ΄; h) of A(p, k) and derive some interesting properties for th
function a b s t r a c t We investigate several properties of the linear Aouf-Silverman-Srivastava operator and associated classes of multivalent analytic functions which were introduced and studied by Aouf et al. [M.
Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), the authors introduce (and investigate the various properties and characteristics of) two novel families of meromorphically multivalent functions. They also extend the familiar concept of neighb