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arXiv · 1603.07566

Zeros of a cross-product of the Coulomb wave and Tricomi hypergeometric functions

Árpád Baricz
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Abstract

Motivated by a problem related to conditions for the existence of clines in genetics, in this note our aim is to 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 the order. In particular, this implies that the eigenvalues of a boundary value problem are increasing with the dimension.

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Árpád Baricz. 2016-03-24. Zeros of a cross-product of the Coulomb wave and Tricomi hypergeometric functions. https://doi.org/10.1090/proc/13331

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