The zeros of modified bessel functions as functions of their order

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Mamedova A., Khanmamedov A. K.

Transactions Issue Mathematics, Azerbaijan National Academy of Sciences, vol.41, no.1, pp.133-137, 2021 (Scopus)

• Nəşrin Növü: Article / Article
• Cild: 41 Say: 1
• Nəşr tarixi: 2021
• jurnalın adı: Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
• Jurnalın baxıldığı indekslər: Scopus
• Səhifə sayı: pp.133-137
• Açar sözlər: Bessel functions, Eigenvalues, Schrödinger equation, Zeros of Bessel functions
• Adres: Bəli

Qısa məlumat

Zeros of the function aKν (z) + bK′ν (z) considered as a function of the order are studied, where Kν (z) is the modified Bessel function of the second kind (Macdonald function). It is proved that, for fixed z, z > 0 and for any real values a, b, the function aKν (z) + bK′ν (z) has only a countable number of simple purely imaginary zeros νn. The asymptotics of the zeros νn as n → +∞ is found.