
Frobenius operators Fn are introduced on sequences of binomial type. The Laguerre polynomials are essentially characterized by the property that Fn coincides with n‐fold binomial convolution.
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), convolution group, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Exact enumeration problems, generating functions, Frobenius operators, Laguerre polynomials, sequences of binomial type, Factorials, binomial coefficients, combinatorial functions, exponential generating function, Combinatorial identities, bijective combinatorics
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), convolution group, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Exact enumeration problems, generating functions, Frobenius operators, Laguerre polynomials, sequences of binomial type, Factorials, binomial coefficients, combinatorial functions, exponential generating function, Combinatorial identities, bijective combinatorics
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