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Probability Techniques in Analysis and Algorithms on Networks
November 28, 2025 15:10–15:45, Section 2, St. Petersburg, St. Petersburg State University, Department of Mathematics and Computer Science (14th Line of Vasilievsky Island, 29b), room 217b
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An Interpolating Function for Power Series Coefficients and the Mellin Transform of the Sum
A. J. Mkrtchyanab
a Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan
b Institute of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk
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Abstract:
We consider a one-dimensional power series with a non-zero radius of convergence, centered at zero. A connection is established between the analytic continuation of the power series via coefficient interpolation and its Mellin transform. For rational functions, the Mellin transform can be represented as a product of gamma functions and an entire function of exponential type. Using an interpolating function, this class can be extended.
Language: English
* Zoom ID: 812-916-426, Password: mkn |
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