A new orthogonal polynomial associated with a generalization of Delannoy numbers

DOI10.1016/j.bulsci.2023.103290MaRDI QIDQ6134697

Muhammet Cihat Dağlı

Publication date: 22 August 2023

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

recurrence relationorthogonal polynomialidentityDelannoy numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other combinatorial number theory (11B75)

Cites Work

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• Analytic aspects of Delannoy numbers
• Supercongruences involving dual sequences
• Some properties of central Delannoy numbers
• A note on lattice chains and Delannoy numbers
• Weighted lattice paths
• On weighted lattice paths
• Why Delannoy numbers?
• A determinantal expression and a recursive relation of the Delannoy numbers
• ASYMPTOTICS OF THE WEIGHTED DELANNOY NUMBERS
• Some congruences on Delannoy numbers and Schröder numbers
• A new recursive formula arising from a determinantal expression for weighted Delannoy numbers

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