Approximate Closed-Form Formulas for the Zeros of the Bessel Polynomials
Joint Authors
Calderón, Marisol L.
Campos, Rafael G.
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-23
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We find approximate expressions x̃(k,n,a) and ỹ(k,n,a) for the real and imaginary parts of the kth zero zk=xk+iyk of the Bessel polynomial yn(x;a).
To obtain these closed-form formulas we use the fact that the points of well-defined curves in the complex plane are limit points of the zeros of the normalized Bessel polynomials.
Thus, these zeros are first computed numerically through an implementation of the electrostatic interpretation formulas and then, a fit to the real and imaginary parts as functions of k, n and a is obtained.
It is shown that the resulting complex number x̃(k,n,a)+iỹ(k,n,a) is O(1/n2)-convergent to zk for fixed k.
American Psychological Association (APA)
Campos, Rafael G.& Calderón, Marisol L.. 2012. Approximate Closed-Form Formulas for the Zeros of the Bessel Polynomials. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-505172
Modern Language Association (MLA)
Campos, Rafael G.& Calderón, Marisol L.. Approximate Closed-Form Formulas for the Zeros of the Bessel Polynomials. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-505172
American Medical Association (AMA)
Campos, Rafael G.& Calderón, Marisol L.. Approximate Closed-Form Formulas for the Zeros of the Bessel Polynomials. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-505172
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505172