Results 81 to 90 of about 32,458 (230)
, 2011 We give new integral and series representations of the Hurwitz zeta function. We also provide a closed-form expression of the coefficients of the Laurent expansion of the Hurwitz-zeta function about any point in the complex plane.
openaire +3 more sources
Fractional derivative of the Hurwitz ζ-function and chaotic decay to zero
Journal of King Saud University: Science, 2016 In this paper the fractional order derivative of a Dirichlet series, Hurwitz zeta function and Riemann zeta function is explicitly computed using the Caputo fractional derivative in the Ortigueira sense.
C. Cattani, E. Guariglia
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Some Weighted Sum Formulas for Multiple Zeta, Hurwitz Zeta, and Alternating Multiple Zeta Values
Journal of Mathematics, 2021 We perform a further investigation for the multiple zeta values and their variations and generalizations in this paper. By making use of the method of the generating functions and some connections between the higher-order trigonometric functions and the ...
Yuan He, Zhuoyu Chen
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On a common refinement of Stark units and Gross–Stark units
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract The purpose of this paper is to formulate and study a common refinement of a version of Stark's conjecture and its p$p$‐adic analogue, in terms of Fontaine's p$p$‐adic period ring. We construct period‐ring‐valued functions under a generalization of Yoshida's conjecture on the transcendental parts of CM‐periods.
Tomokazu Kashio
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A Weighted Universality Theorem for Periodic Zeta-Functions
Mathematical Modelling and Analysis, 2017 The periodic zeta-function ζ(s; a), s = σ + it is defined for σ > 1 by the Dirichlet series with periodic coefficients and is meromorphically continued to the whole complex plane.
Renata Macaitienė +2 more
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International Journal of Robust and Nonlinear Control, Volume 35, Issue 5, Page 1719-1738, 25 March 2025.ABSTRACT In this paper, we study the leader‐following attitude consensus problem for multiple uncertain rigid body systems by a sampled‐data adaptive distributed observer. Unlike the existing sampled‐data distributed observer, which can only asymptotically estimate the state of the leader, the sampled‐data adaptive distributed observer can estimate ...
Changran He, Jie Huang
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Partial Sums of the Hurwitz and Allied Functions and Their Special Values
MathematicsWe supplement the formulas for partial sums of the Hurwitz zeta-function and its derivatives, producing more integral representations and generic definitions of important constants.
Nianliang Wang +2 more
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A Weighted Discrete Universality Theorem for Periodic Zeta-Functions. II
Mathematical Modelling and Analysis, 2017 In the paper, a weighted theorem on the approximation of a wide class of analytic functions by shifts ζ(s + ikαh; a), k ∈ N, 0 < α < 1, and h > 0, of the periodic zeta-function ζ(s; a) with multiplicative periodic sequence a, is obtained.
Renata Macaitienė +2 more
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Cooperative Robust Output Regulation for Networks of Hyperbolic Systems With Unknown Signal Models
International Journal of Robust and Nonlinear Control, Volume 35, Issue 4, Page 1355-1367, 10 March 2025.ABSTRACT This Paper considers the cooperative robust output regulation problem for networks of heterodirectional hyperbolic systems, where the leader and disturbance dynamics are unknown to the followers. For this, a diffusively driven internal model is used, whose parameters are updated using an adaptive cooperative observer.
Tarik Enderes, Joachim Deutscher
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A short note on a extended finite secant series
AIMS Mathematics, 2023 In this paper, a summation formula for a general family of a finite secant sum has been extended by making use of a particularly convenient integration contour method.
Robert Reynolds
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