Transcendentality of zeros of higher dereivatives of functions involving Bessel functions
C.L. Siegel established in 1929 [Ges. Abh., v.1, pp. 209-266] the deep results that (i) all zeros of Jv(x) and J′v(x) are transcendental when v is rational, x≠0, and (ii) J′v(x)/Jv(x) is transcendental when v is rational and x algebraic. As usual, Jv(x) is the Bessel function of first kind and order...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000706 |
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