Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function
Abstract
It is demonstrated that the alternating Lipschitz-Lerch zeta function and the alternating Hurwitz zeta function constitute a discrete Fourier transform pair. This discrete transform pair makes it possible to deduce, as special cases and consequences, many ( mainly new) transformation relations involving the values at rational arguments of alternating variants of various zeta functions, such as the Lerch and Hurwitz zeta functions and Legendre chi function. (C) 2011 Elsevier Inc. All rights reserved.
Keywords:
Discrete Fourier transform / Alternating zeta functions / Hurwitz-Lerch zeta function / Lipschitz-Lerch zeta function / Lerch zeta function / Hurwitz zeta function / Legendre chi function / Bernoulli polynomialsSource:
Applied Mathematics and Computation, 2012, 218, 12, 6744-6747Funding / projects:
- Functional, Functionalized and Advanced Nanomaterials (RS-45005)
- Dynamics of nonlinear physicochemical and biochemical systems with modeling and predicting of their behavior under nonequilibrium conditions (RS-172015)
DOI: 10.1016/j.amc.2011.12.041
ISSN: 0096-3003
WoS: 000299847700014
Scopus: 2-s2.0-84856392343
Collections
Institution/Community
VinčaTY - JOUR AU - Cvijović, Đurđe PY - 2012 UR - https://vinar.vin.bg.ac.rs/handle/123456789/4673 AB - It is demonstrated that the alternating Lipschitz-Lerch zeta function and the alternating Hurwitz zeta function constitute a discrete Fourier transform pair. This discrete transform pair makes it possible to deduce, as special cases and consequences, many ( mainly new) transformation relations involving the values at rational arguments of alternating variants of various zeta functions, such as the Lerch and Hurwitz zeta functions and Legendre chi function. (C) 2011 Elsevier Inc. All rights reserved. T2 - Applied Mathematics and Computation T1 - Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function VL - 218 IS - 12 SP - 6744 EP - 6747 DO - 10.1016/j.amc.2011.12.041 ER -
@article{ author = "Cvijović, Đurđe", year = "2012", abstract = "It is demonstrated that the alternating Lipschitz-Lerch zeta function and the alternating Hurwitz zeta function constitute a discrete Fourier transform pair. This discrete transform pair makes it possible to deduce, as special cases and consequences, many ( mainly new) transformation relations involving the values at rational arguments of alternating variants of various zeta functions, such as the Lerch and Hurwitz zeta functions and Legendre chi function. (C) 2011 Elsevier Inc. All rights reserved.", journal = "Applied Mathematics and Computation", title = "Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function", volume = "218", number = "12", pages = "6744-6747", doi = "10.1016/j.amc.2011.12.041" }
Cvijović, Đ.. (2012). Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function. in Applied Mathematics and Computation, 218(12), 6744-6747. https://doi.org/10.1016/j.amc.2011.12.041
Cvijović Đ. Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function. in Applied Mathematics and Computation. 2012;218(12):6744-6747. doi:10.1016/j.amc.2011.12.041 .
Cvijović, Đurđe, "Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function" in Applied Mathematics and Computation, 218, no. 12 (2012):6744-6747, https://doi.org/10.1016/j.amc.2011.12.041 . .
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