Orthogonal polynomials and connection to generalized Motzkin numbers for higher-order Euler polynomials

DOI10.1016/j.jnt.2018.11.021zbMath1444.11039OpenAlexW2907779716WikidataQ114157278 ScholiaQ114157278MaRDI QIDQ1729769

Lin Jiu, Diane Yahui Shi

Publication date: 28 February 2019

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.11.021

zbMATH Keywords

orthogonal polynomialMeixner-Pollaczek polynomialgeneralized Motzkin numberhigher-order Euler polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Enumerative combinatorics (05A99) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (3)

Hankel determinants of sequences related to Bernoulli and Euler polynomials ⋮ Unnamed Item ⋮ Orthogonal polynomials and Hankel determinants for certain Bernoulli and Euler polynomials

Uses Software

• DLMF

Cites Work

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• The Zagier modification of Bernoulli numbers and a polynomial extension. I
• Bernoulli and Euler numbers and orthogonal polynomials
• Catalan-like numbers and Stieltjes moment sequences
• Advanced determinant calculus
• Nombres Exponentiels Et Nombres De Bernoulli
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Convolutions of Orthonormal Polynomials
• Catalan Numbers
• Orthogonal polynomials and operator orderings

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