Another two families of integer-valued polynomials associated with finite trigonometric sums
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As a sequel to our recent paper, its general approach was here extended to finite alternating trigonometric sums giving rise to polynomials which were systematically examined in full detail as well as in a unified manner using simple arguments. Two new general families of integer-valued polynomials (along with four other families derived from them, also integer-valued, including two already known) were deduced. Also, these polynomials enable closed-form summation of a great deal of general families of finite sums.
Кључне речи:
Integer–valued polynomials / Trigonometric sums / Cotangent sums / Finite summation / Cosecant sumsИзвор:
Applicable Analysis and Discrete Mathematics, 2021, 15, 1, 69-81Финансирање / пројекти:
- Функционални, функционализовани и усавршени нано материјали (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45005)
DOI: 10.2298/AADM200915004C
ISSN: 1452-8630
WoS: 000644661500004
Scopus: 2-s2.0-85106569651
Институција/група
VinčaTY - JOUR AU - Cvijović, Đurđe PY - 2021 UR - https://vinar.vin.bg.ac.rs/handle/123456789/10525 AB - As a sequel to our recent paper, its general approach was here extended to finite alternating trigonometric sums giving rise to polynomials which were systematically examined in full detail as well as in a unified manner using simple arguments. Two new general families of integer-valued polynomials (along with four other families derived from them, also integer-valued, including two already known) were deduced. Also, these polynomials enable closed-form summation of a great deal of general families of finite sums. T2 - Applicable Analysis and Discrete Mathematics T1 - Another two families of integer-valued polynomials associated with finite trigonometric sums VL - 15 IS - 1 SP - 69 EP - 81 DO - 10.2298/AADM200915004C ER -
@article{ author = "Cvijović, Đurđe", year = "2021", abstract = "As a sequel to our recent paper, its general approach was here extended to finite alternating trigonometric sums giving rise to polynomials which were systematically examined in full detail as well as in a unified manner using simple arguments. Two new general families of integer-valued polynomials (along with four other families derived from them, also integer-valued, including two already known) were deduced. Also, these polynomials enable closed-form summation of a great deal of general families of finite sums.", journal = "Applicable Analysis and Discrete Mathematics", title = "Another two families of integer-valued polynomials associated with finite trigonometric sums", volume = "15", number = "1", pages = "69-81", doi = "10.2298/AADM200915004C" }
Cvijović, Đ.. (2021). Another two families of integer-valued polynomials associated with finite trigonometric sums. in Applicable Analysis and Discrete Mathematics, 15(1), 69-81. https://doi.org/10.2298/AADM200915004C
Cvijović Đ. Another two families of integer-valued polynomials associated with finite trigonometric sums. in Applicable Analysis and Discrete Mathematics. 2021;15(1):69-81. doi:10.2298/AADM200915004C .
Cvijović, Đurđe, "Another two families of integer-valued polynomials associated with finite trigonometric sums" in Applicable Analysis and Discrete Mathematics, 15, no. 1 (2021):69-81, https://doi.org/10.2298/AADM200915004C . .