An approximation of the Hurwitz zeta function by a finite sum [PDF]
Lietuvos Matematikos Rinkinys, 2003 We obtain the following version of the approximation of the Hurwitz zeta-function. Let σ ≥ 0 and |t| ≤ π x. Then ζ(s, α) = ∑0 ≤ n ≤ x 1/(n + α)s +{ (x + α)1−s}/(s − 1) + Θ ({7√2π−1 + 3}/xσ).
Ramūnas Garunkštis
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Size Scaling of the Electrochemical Performance of Ti<sub>3</sub>C<sub>2</sub>T<sub>x</sub> MXene Microelectrode Arrays for Electrophysiological Recording and Stimulation. [PDF]
SmallThis study evaluates Ti3C2Tx MXene‐based microelectrodes across a range of diameters (25–500 µm) and elucidates their recording and stimulation capabilities for bioelectronic applications. Several electrochemical measurements—supported further by equivalent‐circuit modeling—revealed enhanced recording and stimulation capabilities of the MXene ...
Averbeck SR +6 more
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Hyaluronic Acid Decoration Facilitates CD44-Mediated Targeting and Alters Protein Corona Formation of Extracellular Vesicles. [PDF]
J Extracell VesiclesABSTRACT Cell recognition and uptake of extracellular vesicles (EVs) is mediated by a variety of surface molecules. Growing interest has recently been drawn towards glycan structures on EVs. Hyaluronic acid (HA) is a negatively charged glycosaminoglycan that can decorate the surface of EVs from different origins.
Kyykallio H +10 more
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On the Mishou Theorem for Zeta-Functions with Periodic Coefficients
Mathematics, 2023 Let a={am} and b={bm} be two periodic sequences of complex numbers, and, additionally, a is multiplicative. In this paper, the joint approximation of a pair of analytic functions by shifts (ζnT(s+iτ;a),ζnT(s+iτ,α;b)) of absolutely convergent Dirichlet ...
Aidas Balčiūnas +3 more
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Analytical properties of the Hurwitz–Lerch zeta function
Advances in Difference Equations, 2020 In the present paper, we aim to extend the Hurwitz–Lerch zeta function Φ δ , ς ; γ ( ξ , s , υ ; p ) $\varPhi _{\delta ,\varsigma ;\gamma }(\xi ,s,\upsilon ;p)$ involving the extension of the beta function (Choi et al. in Honam Math. J.
Raghib Nadeem +3 more
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Some approximations with hurwitz zeta function [PDF]
, 2020 1st Mediterranean International Conference of Pure and Applied Mathematics and Related Areas (MICOPAM) -- OCT 26-29, 2018 -- Akdeniz Univ, Antalya, TURKEYIn this paper, we focus on some approximations with Hurwitz zeta function.
Aygüneş, Aykut Ahmet
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On the distribution of zeros of the Hurwitz zeta-function [PDF]
Mathematics of Computation, 2006 Assuming the Riemann hypothesis, we prove asymptotics for the sum of values of the Hurwitz zeta-function ζ
Ramunas Garunkstis, Jörn Steuding
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LINEAR COMBINATIONS OF HURWITZ ZETA-FUNCTIONS
Kyushu Journal of Mathematics, 2022 As it is well known, the Hurwitz zeta-function, for \(\sigma>1\) and a parameter \(\alpha ...
STEUDING, Rasa, STEUDING, Jörn
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Note on the Hurwitz-Lerch Zeta Function of Two Variables [PDF]
, 2020 Choi, Junesang/0000-0002-7240-7737; Yagci, Oguz/0000-0001-9902-8094A number of generalized Hurwitz-Lerch zeta functions have been presented and investigated.
Yağcı, Oğuz +7 more
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New inequalities for the Hurwitz zeta function [PDF]
, 2008 We establish various new inequalities for the Hurwitz zeta function.
Batir, Necdet
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