Geometric Properties of Certain Classes of Analytic Functions Associated with a q- Integral Operator
Date
2019
Authors
Mahmood, Shahid
Raza, Nusrat
AbuJarad, Eman S.A.
Srivastava, Gautam
Srivastava, H.M.
Malik, Sarfraz Nawaz
Journal Title
Journal ISSN
Volume Title
Publisher
Symmetry
Abstract
This article presents certain families of analytic functions regarding q-starlikeness and q-convexity of complex order γ(γ∈C\{0}) . This introduced a q-integral operator and certain subclasses of the newly introduced classes are defined by using this q-integral operator. Coefficient bounds for these subclasses are obtained. Furthermore, the (δ,q)-neighborhood of analytic functions are introduced and the inclusion relations between the (δ,q)-neighborhood and these subclasses of analytic functions are established. Moreover, the generalized hyper-Bessel function is defined, and application of main results are discussed.
Description
Keywords
Geometric Function Theory, q-integral operator, q-starlike functions of complex order, q-convex functions of complex order, (δ,q)-neighborhood
Citation
Mahmood, S., Raza, N., AbuJarad, E.S.A., Srivastava, G., Srivastava, H.M. & Malik, S.N. (2019). Geometric Properties of Certain Classes of Analytic Functions Associated with a q-Integral Operator. Symmetry, 11(5), 719. https://doi.org/10.3390/sym11050719