We introduce the subclass P P j, , ␣ , n of starlike functions with negative coefficients by using the differential operator D n which was considered by G. S ¸t.
Some Families of Multivalently Analytic Functions with Negative Coefficients
✍ Scribed by Ming-Po Chen; Hüseyin Irmak; H.M Srivastava
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 252 KB
- Volume
- 214
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
The authors introduce and study three novel subclasses of analytic and p-valent functions with negative coefficients. In addition to finding a necessary and sufficient condition for a function to belong to each of these subclasses, a number of other potentially useful properties and characteristics of functions in these subclasses are obtained. Finally, several applications involving an integral operator and certain fractional calculus operators are also considered.
📜 SIMILAR VOLUMES
Let T T n be the class of functions with negative coefficients which are analytic Ž . Ž . Ž . in the unit disk U U. For functions f z and f z belonging to T T n , generaliza-1 2 Ž . Ž . Ž .Ž . tions of the Hadamard product of f z and f z represented by f ^f p,q; z 1 2 1 2 are introduced. In the pres
The object of this paper is to present a systematic introduction to (and several interesting applications of) a general result on generating functions (associated with the Stirling numbers of the second kind) for a fairly wide variety of special functions and polynomials in one, two, and more variab