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A numerical investigation of the structure of the roots ofq-Bernoulli polynomials

โœ 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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A numerical computation of the structure
โœ C.S. Ryoo; Taekyun Kim ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

A numerical computation on the structure
โœ C.S. Ryoo ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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