Class of quasi fractional analytic functions

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camacho_class_2025.pdf (390.31 KB)
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2025-12
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Elsevier B.V.
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Resumen
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.
Palabras clave
Fractional Analytic Functions
Fractional calculus
Generalized Fractional Analytic Functions
Harmonicity
Quasi Fractional Analytic Functions
Descripción
Ponencia presentada en la 3th IFAC Conference on Fractional Differentiation and its Applications ICFDA 2025, celebrada en Argelia entre el 16 y el 18 de diciembre de 2025
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Camacho, O., Chalco, R., Di Teodoro, A., Gude, J. J., Vargas, C., Cerda, A., Galan, J., & Villegas, M. (2025). Class of quasi fractional analytic functions. IFAC-PapersOnLine, 59(37), 244-249. https://doi.org/10.1016/J.IFACOL.2026.01.042
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https://hdl.handle.net/20.500.14454/5740
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