Orthogonal Polynomials for Modified Chebyshev Measure of the First Kind
Само за регистроване кориснике
2016
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
Given numbers , , and the th-degree monic Chebyshev polynomial of the first kind , the polynomial system "induced" by is the system of orthogonal polynomials corresponding to the modified measure , where is the Chebyshev measure of the first kind. Here we are concerned with the problem of determining the coefficients in the three-term recurrence relation for the polynomials . The desired coefficients are obtained analytically in a closed form.
Кључне речи:
recurrence relation / Orthogonal polynomials / Chebyshev polynomials / Chebyshev measureИзвор:
Results in Mathematics, 2016, 69, 3-4, 443-455Издавач:
- SPRINGER Basel AG, Basel
Финансирање / пројекти:
- Serbian Ministry of Education, Science and Technological Development
DOI: 10.1007/s00025-016-0529-8
ISSN: 1422-6383
WoS: 000376103600012
Scopus: 2-s2.0-84955570451
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Cvetković, Aleksandar AU - Matejić, Marjan M. AU - Milovanović, Gradimir V. PY - 2016 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2477 AB - Given numbers , , and the th-degree monic Chebyshev polynomial of the first kind , the polynomial system "induced" by is the system of orthogonal polynomials corresponding to the modified measure , where is the Chebyshev measure of the first kind. Here we are concerned with the problem of determining the coefficients in the three-term recurrence relation for the polynomials . The desired coefficients are obtained analytically in a closed form. PB - SPRINGER Basel AG, Basel T2 - Results in Mathematics T1 - Orthogonal Polynomials for Modified Chebyshev Measure of the First Kind EP - 455 IS - 3-4 SP - 443 VL - 69 DO - 10.1007/s00025-016-0529-8 ER -
@article{ author = "Cvetković, Aleksandar and Matejić, Marjan M. and Milovanović, Gradimir V.", year = "2016", abstract = "Given numbers , , and the th-degree monic Chebyshev polynomial of the first kind , the polynomial system "induced" by is the system of orthogonal polynomials corresponding to the modified measure , where is the Chebyshev measure of the first kind. Here we are concerned with the problem of determining the coefficients in the three-term recurrence relation for the polynomials . The desired coefficients are obtained analytically in a closed form.", publisher = "SPRINGER Basel AG, Basel", journal = "Results in Mathematics", title = "Orthogonal Polynomials for Modified Chebyshev Measure of the First Kind", pages = "455-443", number = "3-4", volume = "69", doi = "10.1007/s00025-016-0529-8" }
Cvetković, A., Matejić, M. M.,& Milovanović, G. V.. (2016). Orthogonal Polynomials for Modified Chebyshev Measure of the First Kind. in Results in Mathematics SPRINGER Basel AG, Basel., 69(3-4), 443-455. https://doi.org/10.1007/s00025-016-0529-8
Cvetković A, Matejić MM, Milovanović GV. Orthogonal Polynomials for Modified Chebyshev Measure of the First Kind. in Results in Mathematics. 2016;69(3-4):443-455. doi:10.1007/s00025-016-0529-8 .
Cvetković, Aleksandar, Matejić, Marjan M., Milovanović, Gradimir V., "Orthogonal Polynomials for Modified Chebyshev Measure of the First Kind" in Results in Mathematics, 69, no. 3-4 (2016):443-455, https://doi.org/10.1007/s00025-016-0529-8 . .