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- W2170687777 abstract "Abstract We investigate the zeros of q -Bessel functions of the second and third types as well as those of the associated finite q -Hankel transforms. We derive asymptotic relations of the zeros of the q -Bessel functions by comparison with zeros of the theta function. The asymptotics of q -Bessel functions are also given. Zeros of finite q -Hankel transforms of q -summable functions are shown to be real and simple except for a finite number of possible non real zeros. Sufficient conditions are given to guarantee that all zeros are real. We give some applications concerning zeros of combinations of q -Bessel functions." @default.
- W2170687777 created "2016-06-24" @default.
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- W2170687777 date "2009-07-01" @default.
- W2170687777 modified "2023-09-30" @default.
- W2170687777 title "On the zeros of the second and third Jackson <i>q</i>-Bessel functions and their associated <i>q</i>-Hankel transforms" @default.
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- W2170687777 doi "https://doi.org/10.1017/s0305004109002357" @default.
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