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A numerical investigation on the structure of the roots ofq-Genocchi polynomials

✍ Scribed by Cheon Seoung Ryoo

Book ID
107619665
Publisher
Springer-Verlag
Year
2007
Tongue
English
Weight
330 KB
Volume
26
Category
Article
ISSN
1598-5865

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πŸ“œ SIMILAR VOLUMES

A numerical computation on the structure
A numerical computation on the structure of the roots of -extension of Genocchi polynomials
✍ C.S. Ryoo πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 750 KB

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

A numerical computation of the structure
A numerical computation of the structure of the roots of q-Bernoulli polynomials
✍ C.S. Ryoo; Taekyun Kim πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 223 KB

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