The Number Of Antichains Of Finite Power Sets
Dragoš M. Cvetković (1972)
Publications de l'Institut Mathématique
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Displaying similar documents to “On the number of antichains of finite power sets”
The Number Of Antichains Of Finite Power Sets
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We study extensions of classical theorems on gap power series of a complex variable to the multidimensional case.
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We study extensions of classical theorems on gap power series of a complex variable to the multidimensional case.
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A note on formal power series
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...
Some remarks on a relation between sets and elements
S. Ginsburg (1952)
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On Kaluza's sign criterion for reciprocal power series
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.
On Kaluza’s sign criterion for reciprocal power series
Arpad Baricz, Jetro Vesti, Matti Vuorinen (2011)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
Similarity:
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.