“…are usually called h-sums; they were introduced in [13]. The most explored case is η = 1, λ k h(λ k z), λ k ∈ C, see [6,8,9,13,14,16,22]. The paper [13] contains several remarks 1 on the general case (3).…”
In this paper we solve Padé-(i.e. multiple) and Prony (i.e. simple exponential) interpolation problems for the amplitude and frequency sums with equal amplitudes,
“…are usually called h-sums; they were introduced in [13]. The most explored case is η = 1, λ k h(λ k z), λ k ∈ C, see [6,8,9,13,14,16,22]. The paper [13] contains several remarks 1 on the general case (3).…”
In this paper we solve Padé-(i.e. multiple) and Prony (i.e. simple exponential) interpolation problems for the amplitude and frequency sums with equal amplitudes,
In approximation theory, logarithmic derivatives of complex polynomials are called simple partial fractions (SPF ) as suggested by Eu. P. Dolzhenko. Many solved and unsolved extremal problems related to SPF are traced back to works of G.
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