Józef Siciak (2011)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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We study extensions of classical theorems on gap power series of a complex variable to the multidimensional case.
M. S. Popadić (1970)
Matematički Vesnik
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Dragoš M. Cvetković (1972)
Publications de l'Institut Mathématique
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Józef Siciak (2011)
Annales UMCS, Mathematica
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We study extensions of classical theorems on gap power series of a complex variable to the multidimensional case.
Mouhebeddine Berrima, Narjes Ben Rajeb, Véronique Cortier (2011)
RAIRO - Theoretical Informatics and Applications
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In the last decade, formal methods have proved their interest when analyzing security protocols. Security protocols require in particular to reason about the attacker knowledge. Two standard notions are often considered in formal approaches: deducibility and indistinguishability relations. The first notion states whether an attacker can learn the value of a secret, while the latter states whether an attacker can notice some difference between protocol runs with different values of the...
Andrzej Birkholc (1971)
Colloquium Mathematicae
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Mouhebeddine Berrima, Narjes Ben Rajeb, Véronique Cortier (2011)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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In the last decade, formal methods have proved their interest when analyzing security protocols. Security protocols require in particular to reason about the attacker knowledge. Two standard notions are often considered in formal approaches: deducibility and indistinguishability relations. The first notion states whether an attacker can learn the value of a secret, while the latter states whether an attacker can notice some difference between protocol runs with different values of the...
Babu Ram (1974)
Colloquium Mathematicae
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Gan, Xiao-Xiong, Knox, Nathaniel (2002)
International Journal of Mathematics and Mathematical Sciences
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Wenguang Zhai (2004)
Acta Arithmetica
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Xiao-Xiong Gan, Dariusz Bugajewski (2010)
Commentationes Mathematicae Universitatis Carolinae
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In this note we investigate a relationship between the boundary behavior of power series and the composition of formal power series. In particular, we prove that the composition domain of a formal power series is convex and balanced which implies that the subset consisting of formal power series which can be composed by a formal power series possesses such properties. We also provide a necessary and sufficient condition for the superposition operator to map into itself or to...
Árpád Baricz, Jetro Vesti, Matti Vuorinen (2011)
Annales UMCS, Mathematica
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T. Kaluza has given a criterion for the signs of the power series of a function that is the reciprocal of another power series. In this note the sharpness of this condition is explored and various examples in terms of the Gaussian hypergeometric series are given. A criterion for the monotonicity of the quotient of two power series due to M. Biernacki and J. Krzyż is applied.