Over the years, there has been increasing interest in solving mathematical problems with the aid of computers. The main purpose of this paper is to construct new generating functions of q-Bernoulli numbers n,q r and q-Bernoulli polynomials n,q r (x). We study the q-Bernoulli polynomials n,q r (x) an
A statistical analysis of the numerical condition of multiple roots of polynomials
β Scribed by J.R. Winkler
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 845 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0898-1221
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π SIMILAR VOLUMES
In this work we observe the behavior of real roots of the q-extension of Genocchi polynomials, c n,q (x), using numerical investigation. By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of the c n,q (x) for -1 < q < 0. Finally, we give a table for
The sum of the series \(\sum_{n \geq 0} 0^{n} K_{\lambda} \cup a^{n} \cdot \mu \cup a^{n}(q)\), where \(K_{\nu, \theta}(q)\) denotes the Kostka-Foulkes polynomial associated with tableaux of shape \(\nu\) and evaluation \(\theta\), is explicitly derived in the case \(a=1, q=1\) and \(\mu=11 \cdots 1