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5,688
Series Expansions for Excited States of Quantum Lattice Models
, 1995
"... We show that by means of connectedgraph expansions one can effectively generate exact highorder series expansions which are informative of lowlying excited states for quantum manybody systems defined on a lattice. In particular, the Fourier series coefficients of elementary excitation spectra ar ..."
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We show that by means of connectedgraph expansions one can effectively generate exact highorder series expansions which are informative of lowlying excited states for quantum manybody systems defined on a lattice. In particular, the Fourier series coefficients of elementary excitation spectra
Power series expansions for Mathieu functions with small arguments
 Math. Comput
"... Abstract. Power series expansions for the even and odd angular Mathieu functions Sem(h, cos θ) and Som(h, cos θ), with small argument h, are derived for general integer values of m. The expansion coefficients that we evaluate are also useful for the calculation of the corresponding radial functions ..."
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Abstract. Power series expansions for the even and odd angular Mathieu functions Sem(h, cos θ) and Som(h, cos θ), with small argument h, are derived for general integer values of m. The expansion coefficients that we evaluate are also useful for the calculation of the corresponding radial functions
NOTE Series Expansion and Reproducing Kernels for Hyperharmonic Functions
, 2001
"... First we show that any hyperbolically harmonic (hyperharmonic) function in the unit ball B in n has a series expansion in hyperharmonic functions, and then we construct the kernel that reproduces hyperharmonic functions in some L 1 B space. We show that the same kernel also reproduces harmonic func ..."
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First we show that any hyperbolically harmonic (hyperharmonic) function in the unit ball B in n has a series expansion in hyperharmonic functions, and then we construct the kernel that reproduces hyperharmonic functions in some L 1 B space. We show that the same kernel also reproduces harmonic
Series Expansions for Analytic Systems Linear in Control 1
"... This paper presents a series expansion for the evolution of a class of nonlinear systems characterized by constant input vector fields. We present a series expansion that can be computed via explicit recursive expressions, and we derive sufficient conditions for uniform convergence over the finite a ..."
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This paper presents a series expansion for the evolution of a class of nonlinear systems characterized by constant input vector fields. We present a series expansion that can be computed via explicit recursive expressions, and we derive sufficient conditions for uniform convergence over the finite
Series Expansion of WideSense Stationary Random Processes
"... AbsfracfThis paper presents a general approach to the derivation of series expansions of secondorder widesense stationary meansquare continuous random process valid over an infinitetime interval. The coefficients of the expansion are orthogonal and convergence is in the meansquare sense. The ..."
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AbsfracfThis paper presents a general approach to the derivation of series expansions of secondorder widesense stationary meansquare continuous random process valid over an infinitetime interval. The coefficients of the expansion are orthogonal and convergence is in the meansquare sense
Series expansions for analytic systems linear in the controls
 In IEEE Conf. on Decision and Control
, 2000
"... This paper presents a series expansion for the evolution of nonlinear systems which are analytic in the state and linear in the controls. An explicit recursive expression is obtained assuming that the input vector fields are constant. Additional simplifications take place in the analysis of systems ..."
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Cited by 1 (1 self)
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This paper presents a series expansion for the evolution of nonlinear systems which are analytic in the state and linear in the controls. An explicit recursive expression is obtained assuming that the input vector fields are constant. Additional simplifications take place in the analysis of systems
POLYNOMIAL SERIES EXPANSIONS FOR CONFLUENT AND GAUSSIAN HYPERGEOMETRIC FUNCTIONS
"... Abstract. Based on the Hadamard product of power series, polynomial series expansions for confluent hypergeometric functions M(a, c; ·) and for Gaussian hypergeometric functions F (a, b; c; ·) are introduced and studied. It turns out that the partial sums provide an interesting alternative for the n ..."
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Abstract. Based on the Hadamard product of power series, polynomial series expansions for confluent hypergeometric functions M(a, c; ·) and for Gaussian hypergeometric functions F (a, b; c; ·) are introduced and studied. It turns out that the partial sums provide an interesting alternative
Results 31  40
of
5,688