Zeros of the digamma function and its Barnes G-function analogue
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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
Sums Involving the Digamma Function Connected to the Incomplete Beta Function and the Bessel functions
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DOI: 10.3390/math11081937
Abstract: We calculate some infinite sums containing the digamma function in closed form. These sums are related either to the incomplete beta function or to the Bessel functions. The calculations yield interesting new results as by-products,… read more here.
Keywords: function; function bessel; incomplete beta; beta function ... See more keywords