New family of Whitney numbers

DOI10.2298/FIL1702309EzbMath1488.05023OpenAlexW2660072653MaRDI QIDQ5005475

F. A. Shiha, Beih S. El-Desouky, Nenad P. Cakić

Publication date: 10 August 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1702309e

zbMATH Keywords

Stirling numberssymmetric functionsJacobi-Stirling numbersLegendre-Stirling numbers\(r\)-Whitney numbers\(\bar{\alpha}\) Whitney numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Symmetric functions and generalizations (05E05)

Related Items (8)

Explicit estimates for Comtet numbers of the first kind ⋮ Unnamed Item ⋮ Explicit upper bounds for the Stirling numbers of the first kind ⋮ New family of Jacobi-Stirling numbers ⋮ A q-analogue of α־-Whitney numbers ⋮ A probabilistic generalization of the Stirling numbers of the second kind ⋮ Generalized Stirling numbers and sums of powers of arithmetic progressions ⋮ Probabilistic Stirling numbers of the second kind and applications

Cites Work

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• The \(r\)-Stirling numbers
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• The Jacobi-Stirling numbers
• Non-central Stirling numbers and some applications
• Legendre polynomials, Legendre--Stirling numbers, and the left-definite spectral analysis of the Legendre differential expression
• The Legendre-Stirling numbers
• Jacobi-Stirling numbers, Jacobi polynomials, and the left-definite analysis of the classical Jacobi differential expression
• A class of geometric lattices based on finite groups
• A combinatorial interpretation of the Legendre-Stirling numbers

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