M E Fisher and H Au-Yang 1979 J. Phys. A: Math. Gen. 12 1677 doi:10.1088/0305-4470/12/10/014
M E Fisher and H Au-Yang
Show affiliationsInhomogeneous differential approximants (J/L;M)f(x), (J/L;M,N)f(x,y) etc. are defined for functions of one or more variables given as power series expansions, and some of their properties are exposed. The approximants are easily computable, and numerical studies are reported (for single-variable series) which demonstrate their utility in circumstances where the customary direct or logarithmic derivative Pade approximants (which are limiting cases) are inadequate.
02.30.Lt Sequences, series, and summability
02.30.Mv Approximations and expansions
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
40G10 Abel, Borel and power series methods
41A58 Series expansions (e.g. Taylor, Lidstone series, but not Fourier series)
Issue 10 (October 1979)
A Corrigendum for this article has been published in 1980 J. Phys. A: Math. Gen. 13 1517
A Corrigendum for this article has been published in 1980 J. Phys. A: Math. Gen. 13 1129
M E Fisher and H Au-Yang 1979 J. Phys. A: Math. Gen. 12 1677
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