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NEW TYPE DEGENERATE STIRLING NUMBERS AND THEIR DEGENERATE BELL POLYNOMIALS
2022openaire +1 more source
On Multiparameter q-Noncentral Stirling and Bell Numbers.
Ars Comb., 2015Roberto B. Corcino, Mahid M. Mangontarum
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On some congruences for the Bell numbers and for the Stirling numbers
Journal of Number Theory, 1991 AbstractWe shall give some congruences for the Bell numbers, and for the Stirling numbers, by investigating the elementary properties of p-adic integrals.
Hirofumi Tsumura
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A simple combinatorial interpretation of certain generalized Bell and Stirling numbers
Discrete Mathematics, 2014 In a series of papers, P. Blasiak et al. developed a wide-ranging generalization of Bell numbers (and of Stirling numbers of the second kind) that appears to be relevant to the so-called Boson normal ordering problem. They provided a recurrence and, more recently, also offered a (fairly complex) combinatorial interpretation of these numbers.
Pietro Codara, Pavol Hell
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A Combinatorial Model for $q$-Generalized Stirling and Bell Numbers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We describe a combinatorial model for the $q$-analogs of the generalized Stirling numbers in terms of bugs and colonies. Using both algebraic and combinatorial methods, we derive explicit formulas, recursions and generating functions for these $q ...
Miguel Méndez, Adolfo Rodríguez
doaj +5 more sources
Bell-Based Bernoulli Polynomials with Applications [PDF]
Axioms, 2021 In this paper, we consider Bell-based Stirling polynomials of the second kind and derive some useful relations and properties including some summation formulas related to the Bell polynomials and Stirling numbers of the second kind.
Uğur Duran +2 more
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