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Assessment of morphology for anaerobicgranular particles
(Water Environment Federation, 200606)This study shows that a proper assessment of granule morphology is fundamental before applying any mathematical derivation or empirical formula based on the shape factor of anaerobicgranular particles to determine granular ... 
An assessment of the cost effectiveness of vegetation harvesting as a means of removing nutrient and metals from ponds
(Institute of Environment & Resources, Technical University of Denmark/IAHR/IWA, 20050825)This paper reports on an investigation to quantify the mass of pollutants removed from a stormwater retention pond by routine vegetation harvesting. The amount of plants can increase the costs of ponds, and the increased ... 
Assessment of the upper body contribution to multiplesprint cycling in men and women
(John Wiley & Sons, 20140508)The aim of this study was to investigate the effect of repeated cycling sprints on power profiles while assessing upper body muscle contraction. Eighteen physically active participants performed 8 × 10 s repeated sprints ... 
Assessment of vitamin D concentration in nonsupplemented professional athletes and healthy adults during the winter months in the UK: implications for skeletal muscle function
(Taylor & Francis, 2013)The current study implemented a twopart design to (1) assess the vitamin D concentration of a large cohort of nonvitamin D supplemented UKbased athletes and 30 agematched healthy nonathletes and (2) to examine the ... 
Assisting digital forensic analysis via exploratory information visualisation
(Abertay University School of Arts, Media and Computer Games, 201602)Background: Digital forensics is a rapidly expanding field, due to the continuing advances in computer technology and increases in data stage capabilities of devices. However, the tools supporting digital forensics ... 
Assistive technology and telecare: forging solutions for independent living
(Policy Press, 2003)Assistive technology and telecare are of increasing importance in government policy on healthcare provision. This is reflected in the NHS Plan 2000, which suggested that 50 per cent more people should be in receipt of ... 
Asymmetry and dimensions of relationship quality in the Japanese macaque (Macaca fuscata yakui)
(Springer Verlag, 201010)Cords and Aureli (2000) proposed that relationship quality can be described by three components, i.e., value, security, and compatibility, based on the benefits social partners receive from their relationship and on how ... 
Asymptotic and structural properties of special cases of the Wright function arising in probability theory
(Springer Verlag, 20160725)This analysis paper presents previously unknown properties of some special cases of the Wright function whose consideration is necessitated by our work on probability theory and the theory of stochastic processes. Specifically, ... 
Asymptotic approximations for n!
(Hikari, 2011)Several approximations for n! have recently appeared in the literature. We show here how these approximations can be derived by expansion of certain polynomials in inverse powers of n and comparison with Stirling’s asymptotic ... 
Asymptotic evaluation of an integral arising in quantum harmonic oscillator tunnelling probabilities
(Hikari, 20150427)We obtain an asymptotic evaluation of the integral ʃ ∞ √2n+1 e−x2 H2 n (x) dx for n → ∞, where Hn(x) is the Hermite polynomial. This integral is used to determine the probability for the quantum harmonic oscillator in the ... 
An asymptotic expansion for the Stieltjes constants
(Hilaris, 2015)The Stieltjes constants γn appear in the coefficients in the Laurent expansion of the Riemann zeta function ζ(s) about the simple pole s = 1. We present an asymptotic expansion for γn as n → ∞ based on the approach described ... 
The asymptotic expansion of a generalisation of the EulerJacobi series
(European Journal of Pure and Applied Mathematics (EJPAM), 2016)We consider the asymptotic expansion of the sum Sp(a; w) = ∞Ʃ n=1 e−anp/nw as a → 0 in  arg a <1/2π for arbitrary finite p > 0 and w > 0. Our attention is concentrated mainly on the case when p and w are both even ... 
The asymptotic expansion of a generalised Mathieu series
(Hikari, 2013)We obtain the asymptotic expansion of a generalised Mathieu series and its alternating variant for large complex values of the variable by means of a Mellin transform approach. Numerical examples are presented to demonstrate ... 
Asymptotic expansion of ndimensional Faxéntype integrals
(European Journal of Pure and Applied Mathematics (EJPAM), 2010)The asymptotic expansion of ndimensional extensions of Faxén’s integral In(z) are derived for large complex values of the variable z. The theory relies on the asymptotics of the generalised hypergeometric, orWright, ... 
Asymptotics and MellinBarnes integrals
(Cambridge University Press, 2001) 
The asymptotics of a generalised Beta function
(Hilaris, 2015)We consider the generalised Beta function introduced by Chaudhry et al. [J. Comp. Appl. Math. 78 (1997) 19–32] defined by B(x, y; p) = ʃ 1 0 tx−1(1 − t)y−1 exp [−p / 4t(1 − t)] dt, where ℜ(p) > 0 and the parameters x and ... 
The asymptotics of a new exponential sum
(Elsevier, 20090101)The absolutely convergent exponential sum [formula missing] is studied for m→+∞ and fixed p when the parameter θ is allowed to become large such that θ/m remains finite. This situation corresponds, in general, to the trace ... 
Asymptotics of integrals of Hermite polynomials
(Hikari Ltd, 2010)Integrals involving products of Hermite polynomials with the weight factor exp (−x2) over the interval (−∞,∞) are considered. A result of Azor, Gillis and Victor (SIAM J. Math. Anal. 13 (1982) 879–890] is derived by ... 
Asymptotics of the Gauss hypergeometric function with large parameters, I
(Element d.o.o., 2013)We obtain asymptotic expansions for the Gauss hypergeometric function F(a+ε1λ,b+ε2λ;c+ε3λ;z) as λ →∞ when the εj are ﬁnite by an application of the method of steepest descents, thereby extending previous results corresponding ... 
Asymptotics of the Gauss hypergeometric function with large parameters, II
(Element d.o.o., 2013)We obtain asymptotic expansions by application of the method of steepest descents for the Gauss hypergeometric function F(a+ε1λ,b+ε2λ;c+λ;z) as λ → ∞ when 0<ε1 <1 and ε1 >1 where, without loss of generality, it is supposed ...