Some convolution identities and an inverse relation involving partial Bell polynomials

zbMath1267.05038arXiv1211.4881MaRDI QIDQ1953343

Daniel Birmajer, Michael D. Weiner, Juan B. Gil

Publication date: 7 June 2013

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.4881

zbMATH Keywords

convolution identitiespartial Bell polynomialsinverse relations

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19)

Related Items (11)

A family of Bell transformations ⋮ On factor-free Dyck words with half-integer slope ⋮ Diffeomorphisms of quantum fields ⋮ Bell polynomials and nonlinear inverse relations ⋮ Inverse relations and reciprocity laws involving partial Bell polynomials and related extensions ⋮ Twisted massive non-compact models ⋮ Exact solution of matricial \(\Phi_2^3\) quantum field theory ⋮ CONNECTION BETWEEN PARTIAL BELL POLYNOMIALS AND (q; q)k; PARTITION FUNCTION, AND CERTAIN q-HYPERGEOMETRIC SERIES ⋮ Nonlinear inverse relations of the Bell polynomials via the Lagrange inversion formula (II) ⋮ Colored partitions of a convex polygon by noncrossing diagonals ⋮ On rational Dyck paths and the enumeration of factor-free Dyck words

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