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- Title
SANDWICH RESULTS FOR MULTIVALENT FUNCTIONS DEFINED BY GENERALIZED SRIVASTAVA-ATTIYA OPERATOR.
- Authors
MOSTAFA, ADELA O.; BULBOACĂ, TEODOR; AOUF, MOHAMED K.
- Abstract
The paper contains new results in the field of Geometric Function Theory of one variable functions, specially connected with the concepts of differential subordinations and superordinations, and that could be used for further investigation in this area. We defined a new subclasses of analytic multivalent functions in the open unit disk D with the aid of the generalized well-known Srivastava-Attiya operator obtained by a convolution product with the general Hurwitz-Lerch Zeta function. For the functions belonging to these subclasses we obtain sharp subordination and superordination results, that generalizes some previous well-known subordination properties obtained by different authors. The main results are followed by some particular cases obtained for special choices of the parameters, some of them being connected with the Janowski type functions. The technique used in the proofs is based on the general theory of differential subordinations and superordination initiated and developed by S.S. Miller and P. T. Mocanu. We emphasize that these results are sharp in the sense that there are the best possible under the given assumptions of our theorems and corollaries, that is the dominants cannot be improved. These new results generalizes some previous well-known subordination properties obtained by different authors.
- Subjects
UNIVALENT functions; GEOMETRIC function theory; ZETA functions; ANALYTIC functions
- Publication
Journal of Fractional Calculus & Applications, 2023, Vol 14, Issue 2, p1
- ISSN
2090-584X
- Publication type
Article