Integral representations of the Legendre chi function
Апстракт
We, by making use of elementary arguments, deduce integral representations of the Legendre chi function chi(S)(z) valid for vertical bar z vertical bar LT 1 and Res GT 1. Our earlier established results on the integral representations for the Riemann zeta function zeta(2n + 1) and the Dirichlet beta function beta(2n), n epsilon N, are a direct consequence of these representations. (c) 2006 Elsevier Inc. All rights reserved.
Кључне речи:
Legendres chi function / integral representation / Riemanns zeta function / Dirichlets beta functionИзвор:
Journal of Mathematical Analysis and Applications, 2007, 332, 2, 1056-1062Финансирање / пројекти:
- Физичка хемија динамичких стања и структура неравнотежних система - од монотоне до осцилаторне еволуције и хаоса (RS-MESTD-MPN2006-2010-142025)
DOI: 10.1016/j.jmaa.2006.10.083
ISSN: 0022-247X
WoS: 000247120600021
Scopus: 2-s2.0-34247471315
Колекције
Институција/група
VinčaTY - JOUR AU - Cvijović, Đurđe PY - 2007 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3202 AB - We, by making use of elementary arguments, deduce integral representations of the Legendre chi function chi(S)(z) valid for vertical bar z vertical bar LT 1 and Res GT 1. Our earlier established results on the integral representations for the Riemann zeta function zeta(2n + 1) and the Dirichlet beta function beta(2n), n epsilon N, are a direct consequence of these representations. (c) 2006 Elsevier Inc. All rights reserved. T2 - Journal of Mathematical Analysis and Applications T1 - Integral representations of the Legendre chi function VL - 332 IS - 2 SP - 1056 EP - 1062 DO - 10.1016/j.jmaa.2006.10.083 ER -
@article{ author = "Cvijović, Đurđe", year = "2007", abstract = "We, by making use of elementary arguments, deduce integral representations of the Legendre chi function chi(S)(z) valid for vertical bar z vertical bar LT 1 and Res GT 1. Our earlier established results on the integral representations for the Riemann zeta function zeta(2n + 1) and the Dirichlet beta function beta(2n), n epsilon N, are a direct consequence of these representations. (c) 2006 Elsevier Inc. All rights reserved.", journal = "Journal of Mathematical Analysis and Applications", title = "Integral representations of the Legendre chi function", volume = "332", number = "2", pages = "1056-1062", doi = "10.1016/j.jmaa.2006.10.083" }
Cvijović, Đ.. (2007). Integral representations of the Legendre chi function. in Journal of Mathematical Analysis and Applications, 332(2), 1056-1062. https://doi.org/10.1016/j.jmaa.2006.10.083
Cvijović Đ. Integral representations of the Legendre chi function. in Journal of Mathematical Analysis and Applications. 2007;332(2):1056-1062. doi:10.1016/j.jmaa.2006.10.083 .
Cvijović, Đurđe, "Integral representations of the Legendre chi function" in Journal of Mathematical Analysis and Applications, 332, no. 2 (2007):1056-1062, https://doi.org/10.1016/j.jmaa.2006.10.083 . .