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Fractional calculus extends the classical notions of differentiation and integration to non-integer orders, offering an adaptable ...
Complex analysis, or the calculus of complex-valued functions, is one of the most beautiful self-contained areas of mathematics.
Plurisubharmonic functions form a central tool in the study of several complex variables, offering a robust framework for ...
We present a definition of holomorphic function and an approach to the Cauchy theory that presents complex function theory as a ...
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The Euler Identity and The Taylor Series

Explore the profound connection between Euler's Identity and the Taylor series, two foundational concepts in mathematics. This overview explains how the expansion of exponential functions using the ...
Applications of Fréchet derivative emerge in the sensitivity analysis of matrix functions. Our work extends the generalized ...