Baricz, Á. & Singh, S. (2018) Proceedings of the American Mathematical Society [Matematică, Q2]

Publicat: 24 Noiembrie 2020

Baricz, Á. & Singh, S. (2018) Zeros of some special entire functions. Proceedings of the American Mathematical Society, 146(5), 2207-2216.

DOI: https://doi.org/10.1090/proc/13927

✓ Publisher: American Mathematical Society
✓ Web of Science Core Collection: Science Citation Index Expanded
✓ Categories: Mathematics, Applied; Mathematics
✓ Article Influence Score (AIS): 0.830 (2018) / Q2 in all categories

Abstract: The real and complex zeros of some special entire functions such as Wright, hyper-Bessel, and a special case of generalized hypergeometric functions are studied by using some classical results of Laguerre, Obreschkhoff, Polya, and Runckel. The obtained results extend the known theorem of Hurwitz on the exact number of nonreal zeros of Bessel functions of the first kind. Moreover, results on zeros of derivatives of Bessel functions and the cross-product of Bessel functions are also given, which are related to some recent open problems.

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