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ftp ejde.math.swt.edu ftp ejde.math.unt.edu (login: ftp) LIOUVILLIAN FIRST INTEGRALS OF SECOND ORDER POLYNOMIAL DIFFERENTIAL EQUATIONS
"... We consider polynomial differential systems in the plane with Liouvillian first integrals. It is shown that all such systems have Darbouxian integrating factors, and that the search for such integrals can be reduced to a search for the invariant algebraic curves of the system and their ‘degenerate ’ ..."
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We consider polynomial differential systems in the plane with Liouvillian first integrals. It is shown that all such systems have Darbouxian integrating factors, and that the search for such integrals can be reduced to a search for the invariant algebraic curves of the system and their ‘degenerate
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"... Secondorder polynomial estimators from uncertain observations using covariance information ..."
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Secondorder polynomial estimators from uncertain observations using covariance information
The Askeyscheme of hypergeometric orthogonal polynomials and its qanalogue
, 1998
"... We list the socalled Askeyscheme of hypergeometric orthogonal polynomials and we give a qanalogue of this scheme containing basic hypergeometric orthogonal polynomials. In chapter 1 we give the definition, the orthogonality relation, the three term recurrence relation, the second order differenti ..."
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Cited by 578 (6 self)
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We list the socalled Askeyscheme of hypergeometric orthogonal polynomials and we give a qanalogue of this scheme containing basic hypergeometric orthogonal polynomials. In chapter 1 we give the definition, the orthogonality relation, the three term recurrence relation, the second order
On Some Properties of Horadam Polynomials
"... In this study, we introduce a new generalization of the second order polynomial sequences. Namely, we define the Horadam polynomials sequence. Afterwards, we investigate the some properties of the Horadam polynomials. ..."
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Cited by 2 (0 self)
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In this study, we introduce a new generalization of the second order polynomial sequences. Namely, we define the Horadam polynomials sequence. Afterwards, we investigate the some properties of the Horadam polynomials.
ESTIMATION IN MULTIFACTOR POLYNOMIAL REGRESSION UNDER NONNORMALITY
"... Modified maximum likelihood estimators of the parameters in a second order polynomial regression model are derived. They are shown to be considerably more efiicient and robust than the commonly used least squares estimators. Real life examples are given. ..."
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Modified maximum likelihood estimators of the parameters in a second order polynomial regression model are derived. They are shown to be considerably more efiicient and robust than the commonly used least squares estimators. Real life examples are given.
An Efficient Hardware Implementation for a Reciprocal Unit
"... The computation of the reciprocal of a numerical value is an important ingredient of many algorithms. We present a compact hardware architecture to compute reciprocals by two or three NewtonRaphson iterations to obtain the accuracy of IEEE 754 single and doubleprecision standard, respectively. We ..."
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. We estimate the initialization value by a specially designed secondorder polynomial approximating the reciprocal. By using a secondorder polynomial, we succeed in using one single hardware architecture for both, the polynomialapproximation computations as well as the NewtonRaphson iterations
On the Limits of SecondOrder Unification
"... SecondOrder Unification is a problem that naturally arises when applying automated deduction techniques with variables denoting predicates. The problem is undecidable, but a considerable effort has been made in order to find decidable fragments, and understand the deep reasons of its complexity. Tw ..."
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SecondOrder Unification is a problem that naturally arises when applying automated deduction techniques with variables denoting predicates. The problem is undecidable, but a considerable effort has been made in order to find decidable fragments, and understand the deep reasons of its complexity
Common Persistence in Conditional Variances
 ECONOMETRIC REVIEWS
, 1993
"... Since the introduction of the autoregressive conditional heteroskedastic (ARCH) model in Engle (1982), numerous applications of this modeling strategy have already appeared. A common finding in many of these studies with high frequency financial or monetary data concerns the presence of an approxima ..."
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Cited by 347 (20 self)
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of an approximate unit root in the autoregressive polynomial in the univariate time series representation for the conditional second order moments of the process, as in the socalled integrated generalized ARCH (IGARCH) class of models proposed in Engle and Bollerslev (1986). In the IGARCH models shocks
CHARACTERIZATION OF SECONDORDER STRONG DIVISIBILITY SEQUENCES OF POLYNOMIALS
, 2002
"... In [2], Kimberling posed the question of which recurrent sequences {tn: n = 0, 1, 2,...} have the property gcd(tm, tn) = t gcd(m,n) ∀m, n ∈ N. (1) A sequence with this property is called a strong divisibility sequence (SDS). For example, the ..."
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In [2], Kimberling posed the question of which recurrent sequences {tn: n = 0, 1, 2,...} have the property gcd(tm, tn) = t gcd(m,n) ∀m, n ∈ N. (1) A sequence with this property is called a strong divisibility sequence (SDS). For example, the
Results 11  20
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206,712