A New Definition of (α, β)-Fractional Derivatives for Complex-Valued Functions and Their Analytic Properties
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i4.6557Keywords:
(a,B)-derivative, (a,B)-Cauchy-Riemann equtions, (a,B)- analytic complex valued functionAbstract
In this paper, we present a new definition for derivatives of complex fractional orders of complex valued functions. We introduce the concepts of both (a,B)-Cauchy-Riemann equtions and (a,B)-fractional analytic complex valued function.
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Copyright (c) 2025 Waseem Alshanti, Ma'mon Abu Hammad, Roshdi Khalil
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