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
Some Families of Starlike Functions with Negative Coefficients
β Scribed by M.K Aouf; H.M Srivastava
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 266 KB
- Volume
- 203
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
We introduce the subclass P P j, , β£ , n of starlike functions with negative coefficients by using the differential operator D n which was considered by G. S ΒΈt.
π SIMILAR VOLUMES
Let T T n be the class of functions with negative coefficients which are analytic Ε½ . Ε½ . Ε½ . in the unit disk U U. For functions f z and f z belonging to T T n , generaliza-1 2 Ε½ . Ε½ . Ε½ .Ε½ . 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
Fourier Jacobi series with nonnegative Fourier Jacobi coefficients are considered. Under special restrictions on the Jacobi weight function, we establish in terms of Fourier Jacobi coefficients a necessary and sufficient condition in order that the sum of the Fourier Jacobi series should possess cer
The main object of this paper is to show how readily some general results on bilinear, bilateral, or mixed multilateral generating functions for the Bessel polyno-Ε½ . mials would provide unifications and generalizations of numerous generating functions which were proven recently by using group-theor