Properties of Boubaker polynomials and an application to Love’s integral equation
Abstract
The paper deals with three-term recurrence relations for Boubaker and related polynomi-
als, as well as some properties including zero distribution of such kinds of polynomials.
Also, an application of these polynomials for obtaining approximate analytical solution
of Love’s integral equation is presented. This Fredholm integral equation of the second kind
appeared in an electrostatic problem analyzed for the first time by Love (1949).
Keywords:
Chebyshev polynomials / Boubaker polynomials / Zeros / Recurrence relation / Fredholm integral equation / Love’s integral equationSource:
Applied Mathematics and Computation, 2013, 224, 74-87Publisher:
- New York : Elsevier
Funding / projects:
- Approximation of integral and differential operators and applications (RS-MESTD-Basic Research (BR or ON)-174015)
- Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-44006)
DOI: https://doi.org/10.1016/j.amc.2013.08.055
Cobiss ID: 1541171178
ISSN: 1873-5649
[ Google Scholar ]Collections
Institution/Community
JakovTY - JOUR AU - Milovanović, Gradimir V. AU - Joksimović, Dušan PY - 2013 UR - http://jakov.kpu.edu.rs/handle/123456789/1524 AB - The paper deals with three-term recurrence relations for Boubaker and related polynomi- als, as well as some properties including zero distribution of such kinds of polynomials. Also, an application of these polynomials for obtaining approximate analytical solution of Love’s integral equation is presented. This Fredholm integral equation of the second kind appeared in an electrostatic problem analyzed for the first time by Love (1949). PB - New York : Elsevier T2 - Applied Mathematics and Computation T1 - Properties of Boubaker polynomials and an application to Love’s integral equation VL - 224 SP - 74 EP - 87 DO - https://doi.org/10.1016/j.amc.2013.08.055 ER -
@article{ author = "Milovanović, Gradimir V. and Joksimović, Dušan", year = "2013", abstract = "The paper deals with three-term recurrence relations for Boubaker and related polynomi- als, as well as some properties including zero distribution of such kinds of polynomials. Also, an application of these polynomials for obtaining approximate analytical solution of Love’s integral equation is presented. This Fredholm integral equation of the second kind appeared in an electrostatic problem analyzed for the first time by Love (1949).", publisher = "New York : Elsevier", journal = "Applied Mathematics and Computation", title = "Properties of Boubaker polynomials and an application to Love’s integral equation", volume = "224", pages = "74-87", doi = "https://doi.org/10.1016/j.amc.2013.08.055" }
Milovanović, G. V.,& Joksimović, D.. (2013). Properties of Boubaker polynomials and an application to Love’s integral equation. in Applied Mathematics and Computation New York : Elsevier., 224, 74-87. https://doi.org/https://doi.org/10.1016/j.amc.2013.08.055
Milovanović GV, Joksimović D. Properties of Boubaker polynomials and an application to Love’s integral equation. in Applied Mathematics and Computation. 2013;224:74-87. doi:https://doi.org/10.1016/j.amc.2013.08.055 .
Milovanović, Gradimir V., Joksimović, Dušan, "Properties of Boubaker polynomials and an application to Love’s integral equation" in Applied Mathematics and Computation, 224 (2013):74-87, https://doi.org/https://doi.org/10.1016/j.amc.2013.08.055 . .