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T. Kaczorek (1963)

Applicationes Mathematicae

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T. Kaczorek (1963)

Applicationes Mathematicae

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W. Narkiewicz (1964)

Colloquium Mathematicae

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A. Białynicki-Birula, A. Schinzel (2008)

Colloquium Mathematicae

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The paper is concentrated on two issues: presentation of a multivariate polynomial over a field K, not necessarily algebraically closed, as a sum of univariate polynomials in linear forms defined over K, and presentation of a form, in particular a zero form, as the sum of powers of linear forms projectively distinct defined over an algebraically closed field. An upper bound on the number of summands in presentations of all (not only generic) polynomials and forms of a given number of...

L. Hajdu, R. Tijdeman (2003)

Acta Arithmetica

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P. N. Shrivastava (1977)

Publications de l'Institut Mathématique

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Arun Verma (1975)

Annales Polonici Mathematici

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D. Markovitch (1951)

Matematički Vesnik

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P. N. Shrivastava (1978)

Publications de l'Institut Mathématique

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Thomas Ernst (2015)

Annales UMCS, Mathematica

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We study q-analogues of three Appell polynomials, the H-polynomials, the Apostol-Bernoulli and Apostol-Euler polynomials, whereby two new q-difference operators and the NOVA q-addition play key roles. The definitions of the new polynomials are by the generating function; like in our book, two forms, NWA and JHC are always given together with tables, symmetry relations and recurrence formulas. It is shown that the complementary argument theorems can be extended to the new polynomials...