Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2014; 51(2): 547-553

Printed March 31, 2014

https://doi.org/10.4134/BKMS.2014.51.2.547

Copyright © The Korean Mathematical Society.

On zeros of the Boubaker polynomials

Seon-Hong Kim

Sookmyung Women's University

Abstract

The Boubaker polynomials arose from the discretization of the equations of heat transfer in pyrolysis starting from an assumed solution of the form $$ \frac 1N e^{\frac A{H/z+1}} \sum_{k=0}^{\infty} \xi_k J_k(t), $$ where $J_k$ is the $k$-th order Bessel function of the first kind. In this paper, we investigate the distribution of zeros of the Boubaker polynomials.

Keywords: Boubaker polynomials, zeros

MSC numbers: Primary 30C15; Secondary 26C10