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...
Principais autores: | , |
---|---|
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 |