On the topological structure of Mikusinski's operators
O. Hadžić (1971)
Matematički Vesnik
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O. Hadžić (1971)
Matematički Vesnik
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Taras Banakh, Artur Bartoszewicz, Szymon Głąb, Emilia Szymonik (2014)
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W. Mlak (1974)
Annales Polonici Mathematici
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Vsevolod Gubarev (2021)
Communications in Mathematics
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We develop the connection between Rota-Baxter operators arisen from algebra and mathematical physics and Bernoulli polynomials. We state that a trivial property of Rota-Baxter operators implies the symmetry of the power sum polynomials and Bernoulli polynomials. We show how Rota-Baxter operators equalities rewritten in terms of Bernoulli polynomials generate identities for the latter.
J. C. Merlo (1967)
Annales Polonici Mathematici
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Sucu, Sezgin, Done, Yesim, Ibikli, Ertan (2014)
Mathematica Balkanica New Series
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MSC 2010: 41A25, 41A35
Z. Ciesielski (1990)
Colloquium Mathematicae
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A. Bazylewicz (1982)
Acta Arithmetica
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Zdeněk Hedrlín, Aleš Pultr (1966)
Commentationes Mathematicae Universitatis Carolinae
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J. Tervo (1989)
Annales Polonici Mathematici
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Thomas Ernst (2014)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – 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...
Sung J. Lee, M. Zuhair Nashed (1990)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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