March 3, 2026Open Access

Class of quasi fractional analytic functions

Key Points

Quasi-fractional analytic functions demonstrate unique properties in complex analysis and fractional calculus, linking multiple mathematical concepts.
Key concepts include Gauss’s Theorem and the Cauchy-Pompeiu formula, which are foundational in understanding these functions.
The study establishes rigorous definitions and theorems that support the foundational aspects of quasi-fractional analytic functions.
Harmonicity is directly related to quasi-fractional analyticity, expanding the understanding of function properties in analysis.

Abstract

The document presents a class of quasi-fractional analytic functions, exploring their properties in complex analysis and fractional calculus. Definitions, theorems, and proofs are established that link these functions with concepts such as Gauss’s Theorem and the Cauchy-Pompeiu formula. Additionally, the relationship between harmonicity and quasi-fractional analyticity is investigated, also introducing the concept of quasi-generalized fractional analytic functions.

Class of quasi fractional analytic functions

Key Points

Abstract

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