Combinatorics, Riordan Matrices and Umbral Calculus
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Algebra, Geometry and Topology".
Deadline for manuscript submissions: 30 September 2024 | Viewed by 112
Special Issue Editor
Special Issue Information
Dear Colleagues,
Combinatorial analysis is one of the branches of modern mathematics that is growing more and more rapidly. It has countless applications, ranging from enumerative and algebraic combinatorics, combinatorial number theory and graph theory to discrete mathematics, physics, computer science and biology.
Among the fundamental tools of combinatorial analysis are generating series, matrices and polynomial sequences. For instance, there is a deep connection between finite structures and generating functions, as witnessed by the theory of combinatorial species, as well as a strong interaction between enumeration, infinite matrices, formal series and sequences of polynomials, as seen in the theory of Riordan matrices and in umbral calculus.
This Special Issue accepts high-quality original contributions and review papers concerning theoretical aspects or applications relative to enumerative combinatorics, combinatorial matrices and polynomial sequences. Some of the main topics are listed below:
- Enumerative combinatorics.
- Generating functions.
- Combinatorial matrices, determinants and permanents.
- Hankel matrices and determinants.
- Riordan arrays and exponential Riordan arrays.
- Riordan group and its subgroups.
- Combinatorial number theory.
- Combinatorial identities.
- Umbral calculus.
- Sheffer sequences.
- Special functions and special polynomials.
- Hypergeometric series.
- Orthogonal polynomials.
- Q-calculus.
- Matrices and polynomials in graph theory.
I look forward to receiving your contributions.
Prof. Emanuele Munarini
Guest Editor
Manuscript Submission Information
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Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- enumerative combinatorics
- generating functions
- combinatorial matrices
- Riordan arrays
- umbral calculus
- Sheffer sequences
