Explicit formulas and combinatorial identities for generalized Stirling numbers

DOI10.1007/s00009-011-0169-xzbMath1338.11033OpenAlexW2008483441WikidataQ115058690 ScholiaQ115058690MaRDI QIDQ1943562

Nenad P. Cakić, Beih S. El-Desouky, Gradimir V. Milovanović

Publication date: 20 March 2013

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-011-0169-x

zbMATH Keywords

combinatorial identitiesgenerating functiondifferential operatorsmultiparameter non-central Stirling numbersgeneralized Stirling-type numbers

Mathematics Subject Classification ID

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

Related Items (11)

Explicit expressions and integral representations for the Stirling numbers: a probabilistic approach ⋮ Combinatorial approach of unified Apostol-type polynomials using \(\alpha \)-distanced words ⋮ A combinatorial approach to a general two-term recurrence ⋮ Unnamed Item ⋮ The peak of noncentral Stirling numbers of the first kind ⋮ A probabilistic generalization of the Stirling numbers of the second kind ⋮ New definitions of the generalized Stirling numbers ⋮ Two variable higher-order central Fubini polynomials ⋮ Derivation of computational formulas for Changhee polynomials and their functional and differential equations ⋮ A note on q-analogue of Hermite-poly-Bernoulli numbers and polynomials ⋮ Probabilistic Stirling numbers of the second kind and applications

Cites Work

• Eigenfunctions of Laguerre-type operators and generalized evolution problems
• Set partitions with restrictions
• Labeled factorization of integers
• Degenerate weighted Stirling numbers
• Generalized Stirling and Lah numbers
• Operational formulas connected with two generalizations of Hermite polynomials
• A unified approach to generalized Stirling numbers
• New approaches to certain identities involving differential operators
• Certain classes of generating functions for the Jacobi and related hypergeometric polynomials.
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