Neighborhood properties of certain classes of multivalently analytic functions associated with the convolution structure
โ Scribed by H.M. Srivastava; Serap Bulut
- Book ID
- 113440071
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 207 KB
- Volume
- 218
- Category
- Article
- ISSN
- 0096-3003
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๐ SIMILAR VOLUMES
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.
Let A(p) denote the class of functions f (z) = z p + โ n=p+1 a n z n (p โ N = {1, 2, . . .}) which are analytic and p-valent in the unit disc U = {z : |z| < 1}. The objective of the present work is to obtain some convolution properties for the class , where the value ฮฒ is sharp.
Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), involving the generalized hypergeometric function, we introduce two novel subclasses โฆ p,q,s (ฮฑ 1 ; A, B, ฮป) and โฆ + p,q,s (ฮฑ 1 ; A, B, ฮป) of meromorphically multivalent functions of order ฮป (0