Zeros of the digamma function and its Barnes G-function analogue
Sign Up to like & getrecommendations! Published in 2017 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2017.1376193
Abstract: ABSTRACT The zeros of the digamma function are known to be simple and real, but up to now few identities involving them have appeared in the literature. By establishing a Weierstrass infinite product for a… read more here.
Keywords: barnes function; function analogue; function barnes; function ... See more keywords
Some new properties of the Barnes G-function and related results
Sign Up to like & getrecommendations! Published in 2020 at "Applicable Analysis and Discrete Mathematics"
DOI: 10.2298/aadm200424056c
Abstract: In this paper, we present several potentially useful properties of the Barnes G-function. The properties considered here include, for example, its integral representation, complete monotonicity, and continued-fraction approximation. We also derive continued-fraction approximations of the… read more here.
Keywords: related results; new properties; barnes function; properties barnes ... See more keywords