Closed-form evaluation of some families of cotangent and cosecant integrals
Апстракт
Several families of integrals involving the cotangent or cosecant function have been evaluated in closed form by making use of elementary arguments. Some of them are expressible in terms of the values of the (generalized) Clausen function and Hurwitz zeta function.
Кључне речи:
cotangent integral / cosecant integral / Hurwitz zeta function / Riemann zeta function / Clausen function / definite integrationИзвор:
Integral Transforms and Special Functions, 2008, 19, 2, 147-155
DOI: 10.1080/10652460701688125
ISSN: 1065-2469
WoS: 000253265400006
Scopus: 2-s2.0-39449113279
Колекције
Институција/група
VinčaTY - JOUR AU - Cvijović, Đurđe PY - 2008 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3366 AB - Several families of integrals involving the cotangent or cosecant function have been evaluated in closed form by making use of elementary arguments. Some of them are expressible in terms of the values of the (generalized) Clausen function and Hurwitz zeta function. T2 - Integral Transforms and Special Functions T1 - Closed-form evaluation of some families of cotangent and cosecant integrals VL - 19 IS - 2 SP - 147 EP - 155 DO - 10.1080/10652460701688125 ER -
@article{ author = "Cvijović, Đurđe", year = "2008", abstract = "Several families of integrals involving the cotangent or cosecant function have been evaluated in closed form by making use of elementary arguments. Some of them are expressible in terms of the values of the (generalized) Clausen function and Hurwitz zeta function.", journal = "Integral Transforms and Special Functions", title = "Closed-form evaluation of some families of cotangent and cosecant integrals", volume = "19", number = "2", pages = "147-155", doi = "10.1080/10652460701688125" }
Cvijović, Đ.. (2008). Closed-form evaluation of some families of cotangent and cosecant integrals. in Integral Transforms and Special Functions, 19(2), 147-155. https://doi.org/10.1080/10652460701688125
Cvijović Đ. Closed-form evaluation of some families of cotangent and cosecant integrals. in Integral Transforms and Special Functions. 2008;19(2):147-155. doi:10.1080/10652460701688125 .
Cvijović, Đurđe, "Closed-form evaluation of some families of cotangent and cosecant integrals" in Integral Transforms and Special Functions, 19, no. 2 (2008):147-155, https://doi.org/10.1080/10652460701688125 . .