Summary
We show, among other things, that the positive zeros of a solution ofy ″+x α y=0,y(0)=0 decrease to 1 asα increases, 0〈α〈∞.
Sommario
Si dimostra, tra l'altro, che gli zeri positivi d'una soiuzione diy ″+x α y=0,y(0)=0 decrescono al limite 1, quandoα cresce, 0〈α〈∞.
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To the memory of Miloš Háčik
This research was supported by grants from the Natural Sciences and Engineering Research Council (Canada) and Consiglio Nazionale delle Ricerche (Italy). Some of the work was done while the second-named author was visiting the Department of Mathematics, University of Torino.
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Laforgia, A., Muldoon, M.E. Monotonicity properties of zeros of generalized Airy functions. Z. angew. Math. Phys. 39, 267–271 (1988). https://doi.org/10.1007/BF00945770
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DOI: https://doi.org/10.1007/BF00945770