Result: Structure of the zeros ofq-Bernoulli polynomials: Structure of the zero of \(q\)-Bernoulli polynomials

Title:
Structure of the zeros ofq-Bernoulli polynomials: Structure of the zero of \(q\)-Bernoulli polynomials
Authors:
Cheon Seoung Ryoo
Source:
Journal of Applied Mathematics and Computing. 17:49-58
Publisher Information:
Springer Science and Business Media LLC, 2005.
Publication Year:
2005
Subject Terms:
Basic hypergeometric functions in one variable, \({}_r\phi_s\), Fractional derivatives and integrals, Functions of hypercomplex variables and generalized variables, Bernoulli polynomials, 0103 physical sciences, \(q\)-Bernoulli polynomials, Numerical approximation and evaluation of special functions, 0101 mathematics, Bernoulli and Euler numbers and polynomials, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), numerical experiments, 01 natural sciences
Document Type:
Academic journal Article
File Description:
application/xml
Language:
English
ISSN:
1865-2085
1598-5865
DOI:
10.1007/bf02936040
Access URL:
https://zbmath.org/2143247
https://doi.org/10.1007/bf02936040
https://link.springer.com/article/10.1007%2FBF02936040
Rights:
Springer TDM
Accession Number:
edsair.doi.dedup.....4a5a34bbf88085c799e44fcb5eb29b11
Database:
OpenAIRE

Further Information

In this paper the author observes the structure of the roots of \(q\)-Bernoulli polynomials, \(\beta_n(\omega,h/q)\), using numerical investigation. By numerical experiments the author demonstrates a regular structure of the real roots of \(\beta_n(\omega,h/q)\) for \(q=-\frac15,-\frac12\). Finally they give a table for numbers of real and complex zeros of \(\beta_n(\omega,h/q)\).