Abstract
We explore a complex extension of finite calculus on the integer lattice of the complex plane. satisfies the discretized Cauchy–Riemann equations at if and . From this principle arise notions of the discrete path integral, Cauchy’s theorem, the exponential function, discrete analyticity, and falling power series.
Citation
Joseph Seaborn. Philip Mummert. "A complex finite calculus." Involve 3 (3) 273 - 287, 2010. https://doi.org/10.2140/involve.2010.3.273
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