New Zero-Free Regions for Hypergeometric Zeta and Fractional Hypergeometric Zeta Functions

We describe and demonstrate zero-free regions for the families called “hypergeometric zeta functions” and “fractional hypergeometric zeta functions”. These zero-free regions are vertical strips in the right half of the complex plane. In the proofs, we utilize positivity results on the oscillatory in...

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Detalhes bibliográficos
Principais autores: Demessie Ergabus Birmechu, Hunduma Legesse Geleta
Formato: Artigo
Idioma:English
Publicado em: Hindawi Limited 2022-01-01
coleção:Journal of Mathematics
Acesso em linha:http://dx.doi.org/10.1155/2022/4862447