Results 31 to 40 of about 241,664 (267)
Fourier series representations of the logarithms of the Euler gamma function and the Barnes multiple gamma functions [PDF]
arXiv, 2009 Kummer's Fourier series for the log gamma function is well known, having been discovered in 1847. In this paper we develop a corresponding Fourier series for the logarithm of the Barnes double gamma function (and the method may be easily extended to higher order multiple gamma functions). Some applications of these Fourier series are explored.
arxiv
Control of Ferromagnetism of Vanadium Oxide Thin Films by Oxidation States
Advanced Functional Materials, EarlyView.The nonstoichiometric VOx exhibits a distinct ferromagnetic hysteresis loop and demonstrates a high magnetic susceptibility (χ=dMdH$ = \frac{{dM}}{{dH}}\;$∼10). Micromagnetic simulations show the results of the “partial volume fraction ferromagnetic phase model” for VOx/Co/Pt structure.
Kwonjin Park +9 more
wiley +1 more source
Ramanujan-Fourier series of certain arithmetic functions of two variables [PDF]
Hardy-Ramanujan Journal (May 3, 2016) hrj:1453, 2016 We study Ramanujan-Fourier series of certain arithmetic functions of two variables. We generalize Delange's theorem to the case of arithmetic functions of two variables and give sufficient conditions for pointwise convergence of Ramanujan-Fourier series of arithmetic functions of two variables.
arxiv
Advanced Functional Materials, EarlyView.Ar–H2 annealing triggers redistribution of pre‐deposited Pt single atoms (SAs) on faceted anatase nanosheets, with selective SAs accumulation on the minor (101) facetsthus the co‐catalytic SA‐sites are positioned only where they are needed, i.e. at the electron exit facets.
Shanshan Qin +6 more
wiley +1 more source
Advanced Functional Materials, EarlyView.A multifunctional hydroxyapatite (HAp) coating integrated with silver‐gallium liquid metal nanoparticles (HAp‐Ag‐GaNPs) exhibits dual antibacterial and osteogenic properties. It effectively inhibits Gram‐positive and Gram‐negative bacteria, including resistant strains, while enhancing bone regeneration.
Ngoc Huu Nguyen +17 more
wiley +1 more source
Algorithmically random Fourier series and Brownian motion [PDF]
arXiv, 2016 We consider some random series parametrised by complex binary strings. The simplest case is that of Rademacher series, independent of a time parameter. This is then extended to the case of Fourier series on the circle with Rademacher coefficients. Finally, a specific Fourier series which has coefficients determined by a computable function is shown to ...
arxiv
On a Certain Series of Fourier [PDF]
Proceedings of the London Mathematical Society, 1913 n ...
openaire +3 more sources
Light‐Mediated Photomultiplication via Cascade Energy Transfer in Organic Photodiode
Advanced Functional Materials, EarlyView.Light‐mediated photomultiplication via cascade energy transfer in organic photodiode demonstrates external quantum efficiency exceeding 200% and specific detectivity surpassing 5.0 × 1013 Jones. This advancement effectively addresses the limitation of elevated dark current density characteristic of prior photomultiplication organic photodetectors ...
Gae Hwang Lee +8 more
wiley +1 more source
Quantization of pseudo-differential operators on the torus [PDF]
Journal Fourier Anal. Appl., 16 (2010), 943-982, 2008 Pseudo-differential and Fourier series operators on the n-torus are analyzed by using global representations by Fourier series instead of local representations in coordinate charts. Toroidal symbols are investigated and the correspondence between toroidal and Euclidean symbols of pseudo-differential operators is established.
arxiv
A note on strong summability of two-dimensional Walsh-Fourier series [PDF]
arXiv, 2020 In this paper we investigate strong summability of the two-dimensional Walsh-Fourier series obtained in Weisz \cite{We} (see Theorem W) and prove sharpness of this result.
arxiv