Non-existence of complex and purely imaginary zeros of a transcendental equation involving Bessel functions (Q1188354)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Non-existence of complex and purely imaginary zeros of a transcendental equation involving Bessel functions |
scientific article; zbMATH DE number 40531
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-existence of complex and purely imaginary zeros of a transcendental equation involving Bessel functions |
scientific article; zbMATH DE number 40531 |
Statements
Non-existence of complex and purely imaginary zeros of a transcendental equation involving Bessel functions (English)
0 references
13 August 1992
0 references
A specially defined scalar product is employed to deduce a general result on the occurrence of complex zeros of the function \(F(z)J_ a(z)+G(z)J_ a'(z)\) where \(F\) and \(G\) are analytic functions. Included in several corollaries are interesting new results concerning the distribution of zeros of the Bessel function \(J_{ia}'(z)\) of purely imaginary order.
0 references
scalar product
0 references
complex zeros
0 references
analytic functions
0 references
distribution of zeros
0 references
Bessel function
0 references
purely imaginary order
0 references
