Closed-form evaluation of some families of definite tangent and secant integrals
Abstract
Several families of definite integrals involving the tangent or secant function have been evaluated in closed form by making use of the elementary arguments. Some of them are expressible in terms of a finite combination of values of trignometric functions and the Hurwitz zeta function.
Keywords:
Hurwitz zeta function / Riemann zeta function / definite integration / tangent integral / secant integralSource:
Integral Transforms and Special Functions, 2007, 18, 8, 569-579Funding / projects:
- Fizička hemija dinamičkih stanja i struktura neravnotežnih sistema - od monotone do oscilatorne evolucije i haosa (RS-MESTD-MPN2006-2010-142025)
DOI: 10.1080/10652460701391316
ISSN: 1065-2469
WoS: 000248721100005
Scopus: 2-s2.0-34547959751
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VinčaTY - JOUR AU - Cvijović, Đurđe PY - 2007 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3267 AB - Several families of definite integrals involving the tangent or secant function have been evaluated in closed form by making use of the elementary arguments. Some of them are expressible in terms of a finite combination of values of trignometric functions and the Hurwitz zeta function. T2 - Integral Transforms and Special Functions T1 - Closed-form evaluation of some families of definite tangent and secant integrals VL - 18 IS - 8 SP - 569 EP - 579 DO - 10.1080/10652460701391316 ER -
@article{ author = "Cvijović, Đurđe", year = "2007", abstract = "Several families of definite integrals involving the tangent or secant function have been evaluated in closed form by making use of the elementary arguments. Some of them are expressible in terms of a finite combination of values of trignometric functions and the Hurwitz zeta function.", journal = "Integral Transforms and Special Functions", title = "Closed-form evaluation of some families of definite tangent and secant integrals", volume = "18", number = "8", pages = "569-579", doi = "10.1080/10652460701391316" }
Cvijović, Đ.. (2007). Closed-form evaluation of some families of definite tangent and secant integrals. in Integral Transforms and Special Functions, 18(8), 569-579. https://doi.org/10.1080/10652460701391316
Cvijović Đ. Closed-form evaluation of some families of definite tangent and secant integrals. in Integral Transforms and Special Functions. 2007;18(8):569-579. doi:10.1080/10652460701391316 .
Cvijović, Đurđe, "Closed-form evaluation of some families of definite tangent and secant integrals" in Integral Transforms and Special Functions, 18, no. 8 (2007):569-579, https://doi.org/10.1080/10652460701391316 . .