Abstract
The main object of this article is to introduce and investigate an integral operator J s, b (f) defined, by using the Hurwitz–Lerch Zeta function, on the various subclasses of the class of normalized analytic functions f in the open unit disk 𝕌. Using the technique of differential subordination, an interesting property of the general integral operator J s, b (f) is obtained. Some applications of the results presented here are also considered.
Keywords:
- Analytic functions
- Univalent functions
- Convex functions
- Starlike functions
- Differential subordination
- Hurwitz–Lerch Zeta function
- Riemann and Hurwitz (or generalized) Zeta functions
- Polylogarithmic function
- Jung–Kim–Srivastava integral operator
- Hadamard product (or convolution)
- Mutiplier transformations
- Koebe function of order α
Acknowledgements
The present investigation was supported, in part, by the Natural Sciences and Engineering Research Council of Canada under Grant OGP0007353.