A numerical investigation of the structure of the roots ofq-Bernoulli polynomials
โ Scribed by C. S. Ryoo
- Book ID
- 105626097
- Publisher
- Springer-Verlag
- Year
- 2007
- Tongue
- English
- Weight
- 219 KB
- Volume
- 23
- Category
- Article
- ISSN
- 1598-5865
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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
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