The paper discusses both theoretical properties and practical implementation of product integration rules of the form $$\int^\infty_{-\infty} k(x)f(x) dx \approx \sum ...
Polyanalytic function theory extends the classical theory of holomorphic functions by encompassing functions that satisfy higher‐order generalisations of the Cauchy–Riemann equations. This broader ...
Inspired by Rearick's work on logarithm and exponential functions of arithmetic functions, we introduce two new operators, LOG and EXP. The LOG operates on generalized Fibonacci polynomials giving ...
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