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5,688
Series expansions for lattice Green functions
, 2000
"... Lattice Green functions appear in lattice gauge theories, in lattice models of statistical physics and in random walks. Here, space coordinates are treated as parameters and series expansions in the mass are obtained. The singular points in arbitrary dimensions are found. For odd dimensions these ar ..."
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Lattice Green functions appear in lattice gauge theories, in lattice models of statistical physics and in random walks. Here, space coordinates are treated as parameters and series expansions in the mass are obtained. The singular points in arbitrary dimensions are found. For odd dimensions
CHEBYSHEV SERIES EXPANSION OF INVERSE POLYNOMIALS
, 2005
"... Abstract. An inverse polynomial has a Chebyshev series expansion k∑ 1 / bjTj(x) = anTn(x) j=0 if the polynomial has no roots in [−1,1]. If the inverse polynomial is decomposed into partial fractions, the an are linear combinations of simple functions of the polynomial roots. Also, if the first k of ..."
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Cited by 4 (0 self)
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Abstract. An inverse polynomial has a Chebyshev series expansion k∑ 1 / bjTj(x) = anTn(x) j=0 if the polynomial has no roots in [−1,1]. If the inverse polynomial is decomposed into partial fractions, the an are linear combinations of simple functions of the polynomial roots. Also, if the first k
Univariate Power Series Expansions in Reduce
- Proceedings of ISSAC’90
, 1999
"... We describe the development of a formal power series expansion package for Reduce which takes advantage of Reduce's domain mechanism to make for a seamless integration of series values with the rest of the Reduce system. Consequently, series values may be manipulated with the same algebraic ope ..."
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Cited by 1 (0 self)
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We describe the development of a formal power series expansion package for Reduce which takes advantage of Reduce's domain mechanism to make for a seamless integration of series values with the rest of the Reduce system. Consequently, series values may be manipulated with the same algebraic
Generalizations of Chromatic Derivatives and Series Expansions
- IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOLUME 58 , ISSUE 3
, 2010
"... Chromatic derivatives and series expansions of bandlimited functions have recently been introduced as an alternative representation to Taylor series and they have been shown to be more useful in practical signal processing applications than Taylor series. Although chromatic series were originally i ..."
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Chromatic derivatives and series expansions of bandlimited functions have recently been introduced as an alternative representation to Taylor series and they have been shown to be more useful in practical signal processing applications than Taylor series. Although chromatic series were originally
An optimal series expansion of the multiparameter fractional Brownian motion ∗
, 2008
"... We derive a series expansion for the multiparameter fractional Brownian motion. The derived expansion is proven to be rate optimal. ..."
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Cited by 4 (1 self)
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We derive a series expansion for the multiparameter fractional Brownian motion. The derived expansion is proven to be rate optimal.
Incomplete series expansion for function approximation
, 2005
"... We present an incomplete series expansion (ISE) as a basis for function approximation. The ISE is expressed in terms of an approximate Hessian matrix which may contain second, third and even higher order ‘main ’ or diagonal terms, but which excludes ‘interaction ’ or off-diagonal terms. From the ISE ..."
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Cited by 3 (2 self)
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We present an incomplete series expansion (ISE) as a basis for function approximation. The ISE is expressed in terms of an approximate Hessian matrix which may contain second, third and even higher order ‘main ’ or diagonal terms, but which excludes ‘interaction ’ or off-diagonal terms. From
GENERALIZED PUISIEUX SERIES EXPANSION FOR COSMOLOGICAL MILESTONES
, 2006
"... We use generalized Puisieux series expansions to determine the behaviour of the scale factor in the vicinity of typical cosmological milestones occurring in a FRW universe. We describe some of the consequences of this generalized Puisieux series expansion on other physical observables. 1. ..."
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We use generalized Puisieux series expansions to determine the behaviour of the scale factor in the vicinity of typical cosmological milestones occurring in a FRW universe. We describe some of the consequences of this generalized Puisieux series expansion on other physical observables. 1.
Is homotopy perturbation method the traditional Taylor series expansion
"... Abstract The homotopy perturbation method is studied in the present paper. The question of whether the homotopy perturbation method is simply the conventional Taylor series expansion is examined. It is proven that under particular choices of the auxiliary parameters the homotopy perturbation method ..."
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Abstract The homotopy perturbation method is studied in the present paper. The question of whether the homotopy perturbation method is simply the conventional Taylor series expansion is examined. It is proven that under particular choices of the auxiliary parameters the homotopy perturbation
Given two series expansions, one of each of the forms
, 2002
"... www.elsevier.com/locate/cam The Q-D algorithm for transforming series expansions into a corresponding continued fraction: an extension to cope with zero coe.cients ..."
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www.elsevier.com/locate/cam The Q-D algorithm for transforming series expansions into a corresponding continued fraction: an extension to cope with zero coe.cients
Results 11 - 20
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5,688
