Two general families of integer–valued polynomials associated with finite trigonometric sums
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2020
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© 2020 Elsevier Inc.
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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.
Ključne reči:
Integer-valued polynomials / Trigonometric sums / Finite summation / Binomial transform / Cotangent sums / Cosecant sumsIzvor:
Journal of Mathematical Analysis and Applications, 2020, 488, 1, 124057-Finansiranje / projekti:
- Dinamika nelinearnih fizičkohemijskih i biohemijskih sistema sa modeliranjem i predviđanjem njihovih ponašanja pod neravnotežnim uslovima (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
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Institucija/grupa
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 . .