Sheffer sequences with zeros on a line
Year: 2025
Type: preprint
Abstract: We extend a result of Bump et al. to show that a large family of Sheffer sequences has their zeros - up to perhaps a finite number of exceptions - on a vertical line. We connect a particular such sequence to the Riemann zeta function via a product representation of a scaled Mellin transform, analogously to the product decomposition of a Mellin transform involving the generalized Laguerre polynomials into factors of the Gamma function and Meixner polynomials.
Source: arXiv (Cornell University)
Authors: Cheon, G. -S., Forgács, T., Tran, K.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7077857366
Cites:
Cited by:
Related to: