Search Results - "COFFEY, MARK W."

An effective asymptotic formula for the Stieltjes constants by KNESSL, CHARLES, COFFEY, MARK W.

“…The Stieltjes constants \gamma_k about its only pole at s=1 for k \gg 1. Furthermore, our result is effective for computation, consistently in close agreement…”
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Asymptotic estimation of \xi ^{(2n)}(1/2): On a conjecture of Farmer and Rhoades by Coffey, Mark W.

“…We verify a very recent conjecture of Farmer and Rhoades on the asymptotic rate of growth of the derivatives of the Riemann xi function at s=1/2. We give two…”
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New results concerning power series expansions of the Riemann xi function and the Li/Keiper constants by Coffey, Mark W

“…The Riemann hypothesis is equivalent to the Li criterion governing a sequence of real constants…”
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New summation relations for the Stieltjes constants by Coffey, Mark W

“…have been of interest for over a century, yet their detailed behaviour remains under investigation. These constants appear in the Laurent expansion of the…”
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SERIES REPRESENTATIONS FOR THE STIELTJES CONSTANTS by COFFEY, MARK W.

“…The Stieltjes constants 𝛾𝑘(𝑎) appear as the coefficients in the regular part of the Laurent expansion of the Hurwitz zeta function ζ(𝑠, 𝑎) about 𝑠 = 1…”
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Integrals of powers of loggamma by AMDEBERHAN, TEWODROS, COFFEY, MARK W., ESPINOSA, OLIVIER, KOUTSCHAN, CHRISTOPH, MANNA, DANTE V., MOLL, VICTOR H.

“…Properties of the integral of powers of log Г(x) from 0 to 1 are considered. Analytic evaluations for the first two powers are presented. Empirical evidence…”
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Magnetic levitation from negative permeability materials by Coffey, Mark W.

“…As left-handed materials and metamaterials are becoming more prevalent, we examine the effect of negative permeability upon levitation force. We first consider…”
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Multidimensional linear diffusion for image enhancement on a type II quantum computer by Coffey, Mark W, Colburn, Gabriel G

“…We describe how multidimensional linear diffusion with application to image processing could be carried out on a hybrid classical–quantum computer. We present…”
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Nonlinear Spark Resistance and Capacitive Circuit Models of Electrostatic Discharge by Rose, John W., Coffey, Mark W., Flammer, P. David, Peery, Travis B., Mace, Jonathan L., Durfee, Charles

“…Over the past century, several models of spark discharge have been developed that approximate the effect of a spark channel in a circuit as a nonlinear…”
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Series representation of the Riemann zeta function and other results: Complements to a paper of Crandall by COFFEY, MARK W.

“…We supplement a very recent paper of R. Crandall concerned with the multiprecision computation of several important special functions and numbers. We show an…”
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On generalized harmonic number sums by Coffey, Mark W., Lubbers, Nicholas

“…We evaluate generalized harmonic number sums with parameter in terms of values of polylogarithm functions, and several examples are given. Instances of such…”
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On some series representations of the Hurwitz zeta function by Coffey, Mark W.

“…A variety of infinite series representations for the Hurwitz zeta function are obtained. Particular cases recover known results, while others are new…”
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On the log-concavity of a Jacobi theta function by COFFEY, MARK W., CSORDAS, GEORGE

“…function, is presented. An open problem, involving the normalized moments of log-concave kernels, is investigated. In particular, several Tur]]>á…”
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AN ASYMPTOTIC FORM FOR THE STIELTJES CONSTANTS γk(a) AND FOR A SUM Sγ(n) APPEARING UNDER THE LI CRITERION by KNESSL, CHARLES, COFFEY, MARK W.

“…We present several asymptotic analyses for quantities associated with the Riemann and Hurwitz zeta functions. We first determine the leading asymptotic…”
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An efficient algorithm for the Hurwitz zeta and related functions by Coffey, Mark W.

“…A simple class of algorithms for the efficient computation of the Hurwitz zeta and related special functions is given. The algorithms also provide a means of…”
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ON REPRESENTATIONS AND DIFFERENCES OF STIELTJES COEFFICIENTS, AND OTHER RELATIONS by COFFEY, MARK W.

“…The Stieltjes coefficients γk(a) arise in the expansion of the Hurwitz zeta function ζ (s, a) about its single simple pole at s = 1 and are of fundamental and…”
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On the generic behavior of the electrical permittivity at low frequencies by Coffey, Mark W.

“…We discuss the complex-valued electrical permittivity and show that generally the real part ϵ ′ ( ω ) is a decreasing function of frequency from ω = 0 to near…”
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Summation properties of the η j and Li constants by Coffey, Mark W.

“…We find new summatory and other properties of the constants η j entering the Laurent expansion of the logarithmic derivative of the Riemann zeta function about…”
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New results on the Stieltjes constants: Asymptotic and exact evaluation by Coffey, Mark W.

“…The Stieltjes constants γ k ( a ) are the expansion coefficients in the Laurent series for the Hurwitz zeta function about s = 1 . We present new asymptotic,…”
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ON FINITE SUMS OF LAGUERRE POLYNOMIALS by COFFEY, MARK W.

“…We evaluate a family of finite summations of Laguerre polynomials in terms of Laguerre polynomials themselves or in terms of a generalized hypergeometric…”
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