Proves a universal identity for umbral operators and fully characterizes a subclass satisfying a simplified version of the identity, with examples from umbral calculus.
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New formula for umbral operators connects them to iteration theory, defines fractional exponents, and yields a natural extension of Laguerre polynomials.
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A general identity for umbral operators and a special subclass
Proves a universal identity for umbral operators and fully characterizes a subclass satisfying a simplified version of the identity, with examples from umbral calculus.
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On formulas and fractional exponents for umbral operators
New formula for umbral operators connects them to iteration theory, defines fractional exponents, and yields a natural extension of Laguerre polynomials.