A new generalization of Delannoy numbers

DOI10.1007/s13226-020-0492-7zbMath1482.11028OpenAlexW3118713905MaRDI QIDQ828956

Muhammet Cihat Dağlı

Publication date: 5 May 2021

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-020-0492-7

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 functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (2)

A new recursive formula arising from a determinantal expression for weighted Delannoy numbers ⋮ A new orthogonal polynomial associated with a generalization of Delannoy numbers

Uses Software

• SumTools

Cites Work

• A supercongruence involving Delannoy numbers and Schröder numbers
• Proof of Sun's conjectures on integer-valued polynomials
• On Delannoy numbers and Schröder numbers
• Arithmetic properties of Delannoy numbers and Schröder numbers
• A kind of orthogonal polynomials and related identities
• Supercongruences involving dual sequences
• Why Delannoy numbers?
• Some congruences on Delannoy numbers and Schröder numbers
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