Some subclasses of p-valent γ -uniformly type q-starlike and q-convex functions defined by using a certain generalized q-Bernardi integral operator
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, ISSN: 1579-1505, Vol: 117, Issue: 1
2023
- 11Citations
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Article Description
In this article, we introduce and investigate a generalized q-Bernardi integral operator (or (p, q)-Bernardi integral operator) for analytic and p-valent (or multivalent) functions. By using this q-integral operator, we first define some subclasses of γ-uniformly q-starlike and q-convex p-valent functions of order η. For functions f(z) belonging to these subclasses, we then investigate such properties and characteristics as the coefficient estimates, convex linear combination, growth and distortion theorems, and the radii of γ-uniformly starlikeness, convexity and close-to-convexity.
Bibliographic Details
Springer Science and Business Media LLC
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