Baricz, Á. (2017) Proceedings of the American Mathematical Society [Matematică, Q2]

Publicat: 24 Noiembrie 2020

Baricz, Á. (2017) Zeros of a cross-product of the Coulomb wave and Tricomi hypergeometric functions. Proceedings of the American Mathematical Society, 145(4), 1643-1648.

DOI: https://doi.org/10.1090/proc/13331

✓ Publisher: American Mathematical Society
✓ Web of Science Core Collection: Science Citation Index Expanded
✓ Categories: Mathematics, Applied; Mathematics
✓ Article Influence Score (AIS): 0.776 (2017) / Q2 in all categories

Abstract: Motivated by a problem on conditions for the existence of clines in genetics, we show that the positive zeros of a cross-product of the regular Coulomb wave function and the Tricomi hypergeometric function are increasing with respect to one of the parameters. In particular, this implies that the eigenvalues of a certain boundary value problem are increasing with the dimension.

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