Articles with "analytical functions" as a keyword



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Metric Spaces of Bounded Analytical Functions

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Published in 2019 at "Journal of Mathematical Sciences"

DOI: 10.1007/s10958-019-04460-1

Abstract: In this paper, we consider classes of analytical functions that map the unit disk into itself. Functions of these classes can be described in terms of hyperbolic derivative and hyperbolic metric. Under an appropriate choice… read more here.

Keywords: spaces bounded; analytical functions; bounded analytical; metric spaces ... See more keywords
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On the Use of the Generalized Littlewood Theorem Concerning Integrals of the Logarithm of Analytical Functions for the Calculation of Infinite Sums and the Analysis of Zeroes of Analytical Functions

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Published in 2022 at "Axioms"

DOI: 10.3390/axioms12010068

Abstract: Recently, we have established and used the generalized Littlewood theorem concerning contour integrals of the logarithm of an analytical function to obtain a few new criteria equivalent to the Riemann hypothesis. Here, the same theorem… read more here.

Keywords: integrals logarithm; analytical functions; theorem; generalized littlewood ... See more keywords