Construction and computation of unified Stirling-type numbers emerging from \(p\)-adic integrals and symmetric polynomials

DOI10.1007/s13398-021-01107-2zbMath1480.11027OpenAlexW3187937479WikidataQ114219829 ScholiaQ114219829MaRDI QIDQ1982624

Irem Kucukoglu, Yilmaz Simsek

Publication date: 14 September 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-021-01107-2

zbMATH Keywords

Stirling numberssymmetric polynomialscomputational algorithmsCatalan numberscentral factorial numberscomputational formulasBernoulli and Euler numbersfactorial polynomials\(p\)-adic integrals

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Symmetric functions and generalizations (05E05) Other combinatorial number theory (11B75) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Special sequences and polynomials (11B83) General topics in the theory of algorithms (68W01)

Related Items

New modular symmetric function and its applications: modular \(s\)-Stirling numbers, Poly-falling factorial sequences and poly-rising factorial sequences, Unnamed Item, Stirling-Dunkl numbers

Uses Software

• Mathematica
• SumTools

Cites Work

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