A Nonlinear Differential Operator Series That Commutes with Any Function

DOI10.1137/0523011zbMath0759.05004OpenAlexW2139156473MaRDI QIDQ3990889

Peter J. Olver

Publication date: 28 June 1992

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0523011

zbMATH Keywords

identitiesorthogonal polynomialsBell polynomialsLagrange inversion formulanormal orderingdifferential operator series

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24)

Related Items (5)

The Pfaff/Cauchy derivative identities and Hurwitz type extensions ⋮ Multifold inverse series relations and multivariate derivative identities ⋮ DERIVATIVE INVERSE SERIES RELATIONS AND LAGRANGE EXPANSION FORMULA ⋮ Two formulas of Frobenius and Stickelberger and Lagrange inversion ⋮ The operator of inversion as an everywhere continuous nowhere differentiable function

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