
Online Journal of Analytic Combinatorics
ISSN 1931-3365 (online)
The Online Journal of Analytic Combinatorics (OJAC) is a peer-reviewed electronic journal previously hosted by the University of Rochester and now published by Combinatorial Press. OJAC features research articles that span a broad spectrum of topics, including analysis, number theory, and combinatorics, with a focus on the convergence and interplay between these disciplines. The journal particularly welcomes submissions that incorporate one or more of the following elements: combinatorial results derived using analytic methods, analytic results achieved through combinatorial approaches, or a synthesis of combinatorics and analysis in either the methodologies or their applications
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- Research article
- https://doi.org/10.61091/ojac-1703
- Full Text
- Online Journal of Analytic Combinatorics
- Issue 17, 2022
- Pages: 1-29 (Paper #3)
- Published: 31/12/2022
In this paper we show some identities come from the
where
where
- Research article
- https://doi.org/10.61091/ojac-1702
- Full Text
- Online Journal of Analytic Combinatorics
- Issue 17, 2022
- Pages: 1-10 (Paper #2)
- Published: 31/12/2022
Between Bernoulli/Euler polynomials and Pell/Lucas polynomials, convolution sums are evaluated in closed form via the generating function method. Several interesting identities involving Fibonacci and Lucas numbers are shown as consequences including those due to Byrd
- Research article
- https://doi.org/10.61091/ojac-1701
- Full Text
- Online Journal of Analytic Combinatorics
- Issue 17, 2022
- Pages: 1-8 (Paper #1)
- Published: 31/12/2022
The notion of length spectrum for natural numbers was introduced by Pong in
- Research article
- https://doi.org/10.61091/ojac-1611
- Full Text
- Online Journal of Analytic Combinatorics
- Issue 16, 2021
- Pages: 1-20 (Paper #11)
- Published: 31/12/2021
This paper uses exponential sum methods to show that if
- Research article
- https://doi.org/10.61091/ojac-1610
- Full Text
- Online Journal of Analytic Combinatorics
- Issue 16, 2021
- Pages: 1-11 (Paper #10)
- Published: 31/12/2021
In this paper, we introduce a generalized family of numbers and polynomials of one or more variables attached to the formal composition
- Research article
- https://doi.org/10.61091/ojac-1609
- Full Text
- Online Journal of Analytic Combinatorics
- Issue 16, 2021
- Pages: 1-12 (Paper #9)
- Published: 31/12/2021
In this paper, we show that the generalized exponential polynomials and the generalized Fubini polynomials satisfy certain binomial identities and that these identities characterize the mentioned polynomials (up to an affine transformation of the variable) among the class of the normalized Sheffer sequences.
- Research article
- https://doi.org/10.61091/ojac-1608
- Full Text
- Online Journal of Analytic Combinatorics
- Issue 16, 2021
- Pages: 1-15 (Papaer #8)
- Published: 31/12/2021
Let
- Research article
- https://doi.org/10.61091/ojac-1607
- Full Text
- Online Journal of Analytic Combinatorics
- Issue 16, 2021
- Pages: 1-17 (Paper #7)
- Published: 31/12/2021
In this paper, we will recover the generating functions of Tribonacci numbers and Chebychev polynomials of first and second kind. By making use of the operator defined in this paper, we give some new generating functions for the binary products of Tribonacci with some remarkable numbers and polynomials. The technique used here is based on the theory of the so-called symmetric functions.
- Research article
- https://doi.org/10.61091/ojac-1606
- Full Text
- Online Journal of Analytic Combinatorics
- Issue 16, 2021
- Pages: 1-9 (Paper #6)
- Published: 31/12/2021
It is shown that if
- Research article
- https://doi.org/10.61091/ojac-1605
- Full Text
- Online Journal of Analytic Combinatorics
- Issue 16, 2021
- Pages: 1-21 (Paper #5)
- Published: 31/12/2021
Extensions of a set partition obtained by imposing bounds on the size of the parts and the coloring of some of the elements are examined. Combinatorial properties and the generating functions of some counting sequences associated with these partitions are established. Connections with Riordan arrays are presented.