scientific article; zbMATH DE number 7215296

zbMath1465.11073MaRDI QIDQ5114835

Madjid Sahari, Miloud Mihoubi

Publication date: 26 June 2020

Full work available at URL: https://web.math.rochester.edu/misc/ojac/vol15/173.pdf#issue15

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Laguerre polynomialsrecurrence relationsBell polynomialsreal zerosassociated Lah polynomialsnew class of polynomials

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Special sequences and polynomials (11B83) Abstract differential equations (12H20)

Related Items

Unnamed Item, On the sequences of polynomials and their generating functions, Unnamed Item

Cites Work

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• \(r\)-Bell polynomials in combinatorial Hopf algebras
• On \(xD\)-generalizations of Stirling numbers and Lah numbers via graphs and rooks
• Lah numbers, Laguerre polynomials of order negative one, and the \(n\)th derivative of \(\exp(1/x)\)
• A generalized recurrence for Bell polynomials: an alternate approach to Spivey and Gould-Quaintance formulas
• Monotonicity of zeros of Laguerre polynomials
• Total positivity of Hadamard products
• The partial \(r\)-Bell polynomials
• Explicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equations
• Polynomials with real zeros and Pólya frequency sequences
• The \(r\)-Lah numbers
• Some general families of generating functions for the Laguerre polynomials
• Bell polynomials and binomial type sequences
• The role of binomial type sequences in determination identities for Bell polynomials
• Spivey's Bell Number Formula Revisited