Higher order recurrences and row sequences of Hermite–Padé approximation
نویسندگان
چکیده
منابع مشابه
The Generation of Higher-order Linear Recurrences from Second-order Linear Recurrences
Along the lines of this theorem, Selmer [1] has shown how one can form a higher-order linear recurrence consisting of the term-wise products of two other linear recurrences. In particular, let {sn} be an m-order and {tn} be a p-order linear integral recurrence with the associated polynomials s(x) and t(x), respectively. Let a^, i = 1,2, ..., m, and 3j, j = 1, 2, ..., p, be the roots of the poly...
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In particular, B^\0) = B^\ the Bernoulli number of order k, and BJp = Bn, the ordinary Bernoulli number. Note also that B^ = 0 for n > 0. The polynomials B^\z) and the numbers B^ were first defined and studied by Niels Norlund in the 1920s; later they were the subject of many papers by L. Carlitz and others. For the past twenty-five years not much has been done with them, although recently the ...
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Relation of hyperbolons of volume one to generalized Clifford algebras is described in [1b] and there some applications are listed. In this note which is an extension of [8] we use the one parameter subgroups of the group of hyperbolons of volume one in order to define and investigate generalization of Tchebysheff polynomial system. Parallely functions of roots of polynomials of any degree are ...
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ژورنال
عنوان ژورنال: Journal of Difference Equations and Applications
سال: 2018
ISSN: 1023-6198,1563-5120
DOI: 10.1080/10236198.2018.1543416