Displaying similar documents to “Tender selection procedure in the power generating industry.”

Some gap power series in multidimensional setting

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.

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.