In the present paper we investigate the majorization properties for certain classes of multivalent analytic functions defined by multiplier transformation. Moreover, we point out some new or known consequences of our main result.
Majorization for certain classes of analytic functions defined by fractional derivatives
β Scribed by S.P. Goyal; Pranay Goswami
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 350 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
β¦ Synopsis
Here we investigate a majorization problem involving starlike function of complex order belonging to a certain class defined by means of fractional derivatives. Relevant connections of the main results obtained in this paper with those given by earlier workers on the subject are also pointed out.
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
In the present investigation, by making use of the familiar concept of neighborhoods of analytic and multivalent functions, we derive coefficient bounds and distortion inequalities, associated inclusion relations for the (n, Ξ΄)-neighborhoods of subclasses of analytic and multivalent functions with n