Analysis approach to finite monoids

DOI10.1186/1687-1812-2013-15zbMath1373.20070OpenAlexW2166088890WikidataQ59294417 ScholiaQ59294417MaRDI QIDQ395219

Ahmet Sinan Cevik, Ismail Naci Cangul, Yilmaz Simsek

Publication date: 29 January 2014

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-15

zbMATH Keywords

generating functionsefficiencyStirling numbers\(p\)-Cockcroft propertyarray polynomialssplit extension

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Free semigroups, generators and relations, word problems (20M05) Arithmetic theory of semigroups (20M13)

Related Items (4)

Some array type polynomials associated with special numbers and polynomials ⋮ Some array polynomials over special monoid presentations ⋮ Generating function for \(q\)-Eulerian polynomials and their decomposition and applications ⋮ Construction and computation of unified Stirling-type numbers emerging from \(p\)-adic integrals and symmetric polynomials

Cites Work

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• Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
• A generalization of chromatic polynomial of a graph subdivision
• \(q\)-Volkenborn integration
• A multiplication theorem for the Lerch zeta function and explicit representations of the Bernoulli and Euler polynomials
• Shortened recurrence relations for Bernoulli numbers
• Word problems and a homological finiteness condition for monoids
• Orthodox semidirect products and wreath products of monoids
• Finite derivation type for semi-direct products of monoids
• Finite derivation type implies the homological finiteness condition \(FP_ 3\)
• Minimal but inefficient presentations of the semi-direct products of some monoids.
• Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications
• A new approach to connect algebra with analysis: relationships and applications between presentations and generating functions
• THE p-COCKCROFT PROPERTY OF THE SEMI-DIRECT PRODUCTS OF MONOIDS
• Interpolation Function of Generalized q −Bernstein-Type Basis Polynomials and Applications
• RELATION MODULES AND RELATION BIMODULES OF GROUPS, SEMIGROUPS AND ASSOCIATIVE ALGEBRAS
• Diagram groups
• LOW-DIMENSIONAL HOMOTOPY THEORY FOR MONOIDS
• Semigroups with few endomorphisms
• FINITE PRESENTATIONS OF GROUPS AND 3-MANIFOLDS
• Chromatic Polynomials

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