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q-calculus

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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On a class of difference operator and its applications to a family of analytic functions
Part of
- Special classes of linear operators
- Geometric function theory
Ravinder Krishna Raina, Janusz Sokół, Katarzyna Tra̧bka-Wiȩcław
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 154 / Issue 1 / February 2024

Published online by Cambridge University Press:

27 February 2023, pp. 248-258

Print publication:

February 2024
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This paper mainly considers the problem of generalizing a certain class of analytic functions by means of a class of difference operators. We consider some relations between starlike or convex functions and functions belonging to such classes. Some other useful properties of these classes are also considered.