Analytic and Complex Function Theory

Analytic and complex function theory is a fundamental branch of mathematical analysis that explores the properties and behaviours of functions defined on the complex plane. This field focuses on functions that are differentiable in the complex sense—known as analytic or holomorphic functions—which exhibit elegant structures and powerful applications across mathematics and engineering. Within this subtopic, the studies investigate various subclasses of analytic and bi-univalent functions, focusing on coefficient estimates, inequalities, and functional relationships involving operators such as the q-exponential and q-Sălăgean differential operators. These investigations contribute to a deeper understanding of geometric function theory, highlighting both theoretical advancements and their potential implications in complex analysis and applied mathematics.

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