Complete monotonicity involving some ratios of gamma functions
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DOI: 10.1186/s13660-017-1527-4
Abstract: In this paper, by using the properties of an auxiliary function, we mainly present the necessary and sufficient conditions for various ratios constructed by gamma functions to be respectively completely and logarithmically completely monotonic. As… read more here.
Keywords: complete monotonicity; involving ratios; gamma functions; monotonicity involving ... See more keywords
Complete monotonicity involving the divided difference of polygamma functions
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DOI: 10.2298/aadm210630007y
Abstract: For r, s ? R and ? = min {r, s}, let D[x + r, x + s; ?n?1] ? ??n (x) be the divided difference of the functions ?n?1 = (?1)n ?(n?1) (n ?… read more here.
Keywords: monotonicity involving; complete monotonicity; divided difference; polygamma functions ... See more keywords