A note on Catalan numbers associated with p-adic integral on Zp

zbMath1353.11035arXiv1606.00267MaRDI QIDQ5506964

Taekyun Kim

Publication date: 16 December 2016

Full work available at URL: https://arxiv.org/abs/1606.00267

zbMATH Keywords

Catalan numbersfermionic p-adic integral on \({\mathbb Z}_p\)

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Related Items (8)

Generating functions for reciprocal Catalan-type sums: approach to linear differentiation equation and ($p$-adic) integral equations ⋮ Differential equations associated with Catalan-Daehee numbers and their applications ⋮ Computational identities for extensions of some families of special numbers and polynomials ⋮ New classes of Catalan-type numbers and polynomials with their applications related to p-adic integrals and computational algorithms ⋮ Construction and computation of unified Stirling-type numbers emerging from \(p\)-adic integrals and symmetric polynomials ⋮ On the Catalan numbers and some of their identities ⋮ Unnamed Item ⋮ A note on the sequence related to Catalan numbers

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