Abstract
In this paper, we discuss the conditions for the function
to belong to the Laguerre–Pólya class, or to have only real zeros.
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Acknowledgements
This article was partially supported by the Akhiezer Foundation. The author is very grateful to her scientific advisor, A. Vishnyakova, for her patience, support and contribution to her research career. The author is also deeply grateful to the referees for valuable and attentive remarks.
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Communicated by Hendrik Laurberg Petersen.
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Thu Hien Nguyen was partially supported by the Akhiezer Foundation.
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Nguyen, T.H. On the Conditions for a Special Entire Function Related to the Partial Theta-Function and the q-Kummer Functions to Belong to the Laguerre–Pólya Class. Comput. Methods Funct. Theory 22, 7–25 (2022). https://doi.org/10.1007/s40315-021-00361-0
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DOI: https://doi.org/10.1007/s40315-021-00361-0
Keywords
- Laguerre–Pólya class
- Entire functions of order zero
- Real-rooted polynomials
- Multiplier sequences
- Complex zero decreasing sequences