A class of hypertranscendental functions

J. H. Loxton; A. J. van der Poorten

doi:10.1007/BF01837885

A class of hypertranscendental functions

J. H. Loxton, A. J. van der Poorten

Macquarie University

Research output: Contribution to journal › Letter › peer-review

2 Citations (Scopus)

Abstract

Let T = (t_ij) be a non-singular n × n matrix with non-negative integer entries
and suppose that 1 is not an eigenvalue of T^k for k = l , 2 , . . . . Define a
transformation T: Cⁿ→Cⁿ as follows: If z = (z₁ . . . . , z_n) is a point of Cⁿ, then
w = Tz is the point with coordinates.

Original language	English
Pages (from-to)	114-115
Number of pages	2
Journal	Aequationes Mathematicae
Volume	15
Issue number	1
DOIs	https://doi.org/10.1007/BF01837885
Publication status	Published - Feb 1977

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abstract = "Let T = (tij) be a non-singular n × n matrix with non-negative integer entriesand suppose that 1 is not an eigenvalue of Tk for k = l , 2 , . . . . Define atransformation T: Cn→Cn as follows: If z = (z1 . . . . , zn) is a point of Cn, thenw = Tz is the point with coordinates.",

author = "Loxton, {J. H.} and {van der Poorten}, {A. J.}",

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AU - van der Poorten, A. J.

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N2 - Let T = (tij) be a non-singular n × n matrix with non-negative integer entriesand suppose that 1 is not an eigenvalue of Tk for k = l , 2 , . . . . Define atransformation T: Cn→Cn as follows: If z = (z1 . . . . , zn) is a point of Cn, thenw = Tz is the point with coordinates.

AB - Let T = (tij) be a non-singular n × n matrix with non-negative integer entriesand suppose that 1 is not an eigenvalue of Tk for k = l , 2 , . . . . Define atransformation T: Cn→Cn as follows: If z = (z1 . . . . , zn) is a point of Cn, thenw = Tz is the point with coordinates.

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JO - Aequationes Mathematicae

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SN - 0001-9054

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ER -

A class of hypertranscendental functions

Abstract

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