Properties of a class of multivalent analytic functions
β Scribed by J. Patel; P. Sahoo
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 572 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
we introduce a certain general class U,^(a, c, A, B) of multivalent analytic functions in the open unit disc involving a linear operator. The object of the present is to investigate various properties and characteristics of this class by using the techniques of Briot-Bouquet differential subordination.
π SIMILAR VOLUMES
The object of the present paper is to derive several properties of a certain class of multivalent functions in the open unit disk. One of our main theorems unifies and extends several earlier results in the theory of analytic functions.
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
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