20 citations · 169 across the 56 of their papers we have counts for
10 papers · 1 filter
Cameron's operator in terms of determinants, and hypergeometric numbers
Narakorn Rompurk Kanasri, Takao Komatsu, Vichian Laohakosol
By studying Cameron's operator in terms of determinants, two kinds of "integer" sequences of incomplete numbers were introduced. One was the sequence of restricted numbers, includi…
On the determination of -Frobenius and related numbers using the -Apéry set
Takao Komatsu
In this paper, we give convenient formulas in order to obtain explicit expressions of a generalized Frobenius number called the -Frobenius number as well as its related values.…
Weighted Sylvester sums on the Frobenius set
Takao Komatsu, Yuan Zhang
Let and be relatively prime positive integers. In this paper the weighted sum is given explicitly or in terms of the Apostol-Bernoulli…
Asymmetric Circular Graph with Hosoya Index and Negative Continued Fractions
Takao Komatsu
It has been known that the Hosoya index of caterpillar graph can be calculated as the numerator of the simple continued fraction. Recently, the author \cite{Komatsu2020} introduces…
Generalized hypergeometric Bernoulli numbers
Kalyan Chakraborty, Takao Komatsu
We introduce generalized hypergeometric Bernoulli numbers for Dirichlet characters. We study their properties, including relations, expressions and determinants. At the end in Appe…
Stirling numbers with level and poly-Bernoulli numbers with level
Takao Komatsu
In this paper, we introduce poly-Bernoulli numbers with level , related to the Stirling numbers of the second kind with level , and study several properties of poly-Bernoulli…