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Title: | On the positivity of a certain function related with the Digamma function | Authors: | Castillo, K. | Keywords: | Completely monotonic function; Digamma function; Bernoulli numbers | Issue Date: | 2023 | Publisher: | Springer Nature | Project: | UIDB/00324/2020 | Serial title, monograph or event: | Ramanujan Journal | Volume: | 63 | Issue: | 1 | Abstract: | In this note, we prove that (xn1-e-x)(n)>0 for all x∈ (log 2 , ∞) and n∈ N . This result improves a theorem of Al-Musallam and Bustoz (Ramanujan J 11:399–402, 2006). | URI: | https://hdl.handle.net/10316/114545 | ISSN: | 1382-4090 1572-9303 |
DOI: | 10.1007/s11139-023-00759-5 | Rights: | openAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais FCTUC Matemática - Artigos em Revistas Internacionais |
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