Baricz, Árpád (2016) Zeros of a cross-product of the Coulomb wave and Tricomi hypergeometric functions. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. ISSN 0002-9939 (In Press)
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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.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika Q Science / természettudomány > QA Mathematics / matematika > QA74 Analysis / analízis |
| Depositing User: | Arpad Baricz |
| Date Deposited: | 30 Sep 2016 11:52 |
| Last Modified: | 30 Sep 2016 11:52 |
| URI: | http://real.mtak.hu/id/eprint/40618 |
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