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 numerical computation on the structure of the roots of -extension of Genocchi polynomials
โ Scribed by C.S. Ryoo
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 750 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
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 solutions of the q-extension of Genocchi polynomials.
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