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Inequalities and asymptotic expansions of the Wallis sequence and the sum of the Wallis ratio (CROSBI ID 195431)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Elezović, Neven ; Lin, Long ; Vukšić, Lenka
Inequalities and asymptotic expansions of the Wallis sequence and the sum of the Wallis ratio // Journal of mathematical inequalities, 7 (2013), 4; 679-695. doi: 10.7153/jmi-07-62
Podaci o odgovornosti
Elezović, Neven ; Lin, Long ; Vukšić, Lenka
engleski
Inequalities and asymptotic expansions of the Wallis sequence and the sum of the Wallis ratio
The asymptotic expansions for the Wallis sequence is studied in details, and explicit formulae for coefficients are given in their simplest form. This enables improvement of some basic inequalities connected with this sequence. Furthermore we establish identity, inequality and asymptotic expansion for the sum of the Wallis ratio.
Wallis sequence; gamma function; identities; inequality; asymptotic expansion
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