Two general families of integer–valued polynomials associated with finite trigonometric sums
Само за регистроване кориснике
2020
Чланак у часопису (Објављена верзија)
,
© 2020 Elsevier Inc.
Метаподаци
Приказ свих података о документуАпстракт
A dozen families of integer–valued polynomials arising in finite summation of various trigonometric sums are known and all of them were deduced through numerical analysis methods. Here, using simple arguments commonly applied in work with polynomial sequences, we examined such expressions in full detail as well as in a systematic and unified manner. Two new very general integer–valued polynomial families (along with six other families derived from them, also integer–valued, including three previously studied) were obtained and they are related to each other by a binomial transform of sequences and associated with certain cosecant and cotangent sums.
Кључне речи:
Integer-valued polynomials / Trigonometric sums / Finite summation / Binomial transform / Cotangent sums / Cosecant sumsИзвор:
Journal of Mathematical Analysis and Applications, 2020, 488, 1, 124057-Финансирање / пројекти:
- Динамика нелинеарних физичкохемијских и биохемијских система са моделирањем и предвиђањем њихових понашања под неравнотежним условима (RS-MESTD-Basic Research (BR or ON)-172015)
DOI: 10.1016/j.jmaa.2020.124057
ISSN: 0022-247X
WoS: 000525911000019
Scopus: 2-s2.0-85081898846
Колекције
Институција/група
VinčaTY - JOUR AU - Cvijović, Đurđe PY - 2020 UR - https://vinar.vin.bg.ac.rs/handle/123456789/8886 AB - A dozen families of integer–valued polynomials arising in finite summation of various trigonometric sums are known and all of them were deduced through numerical analysis methods. Here, using simple arguments commonly applied in work with polynomial sequences, we examined such expressions in full detail as well as in a systematic and unified manner. Two new very general integer–valued polynomial families (along with six other families derived from them, also integer–valued, including three previously studied) were obtained and they are related to each other by a binomial transform of sequences and associated with certain cosecant and cotangent sums. T2 - Journal of Mathematical Analysis and Applications T1 - Two general families of integer–valued polynomials associated with finite trigonometric sums VL - 488 IS - 1 SP - 124057 DO - 10.1016/j.jmaa.2020.124057 ER -
@article{ author = "Cvijović, Đurđe", year = "2020", abstract = "A dozen families of integer–valued polynomials arising in finite summation of various trigonometric sums are known and all of them were deduced through numerical analysis methods. Here, using simple arguments commonly applied in work with polynomial sequences, we examined such expressions in full detail as well as in a systematic and unified manner. Two new very general integer–valued polynomial families (along with six other families derived from them, also integer–valued, including three previously studied) were obtained and they are related to each other by a binomial transform of sequences and associated with certain cosecant and cotangent sums.", journal = "Journal of Mathematical Analysis and Applications", title = "Two general families of integer–valued polynomials associated with finite trigonometric sums", volume = "488", number = "1", pages = "124057", doi = "10.1016/j.jmaa.2020.124057" }
Cvijović, Đ.. (2020). Two general families of integer–valued polynomials associated with finite trigonometric sums. in Journal of Mathematical Analysis and Applications, 488(1), 124057. https://doi.org/10.1016/j.jmaa.2020.124057
Cvijović Đ. Two general families of integer–valued polynomials associated with finite trigonometric sums. in Journal of Mathematical Analysis and Applications. 2020;488(1):124057. doi:10.1016/j.jmaa.2020.124057 .
Cvijović, Đurđe, "Two general families of integer–valued polynomials associated with finite trigonometric sums" in Journal of Mathematical Analysis and Applications, 488, no. 1 (2020):124057, https://doi.org/10.1016/j.jmaa.2020.124057 . .