43,609 research outputs found
Diagonal recurrence relations for the Stirling numbers of the first kind
In the paper, the author presents diagonal recurrence relations for the
Stirling numbers of the first kind. As by-products, the author also recovers
three explicit formulas for special values of the Bell polynomials of the
second kind.Comment: 7 page
Recurrence Relations for Strongly q-Log-Convex Polynomials
We consider a class of strongly q-log-convex polynomials based on a
triangular recurrence relation with linear coefficients, and we show that the
Bell polynomials, the Bessel polynomials, the Ramanujan polynomials and the
Dowling polynomials are strongly q-log-convex. We also prove that the Bessel
transformation preserves log-convexity.Comment: 15 page
- …