Naslov
Asymptotic expansions of gamma and related functions, binomial coefficients, inequalities and means

Autori
Elezović, Neven

Izvornik
Journal of mathematical inequalities (1846-579X) 9 (2015), 4; 1001-1054

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Asymptotic expansion; gamma function; digamma function; factorials; Stirling formula; binomial coefficients; Catalan numbers; means; integral means
(Asymptotic expansion; gamma function; digamma function; factorials; Stirling formula; binomial coefficients; Catalan numbers; means; integral means}; ;)

Sažetak
We give an overview of the use of asymptotic expansions of gamma and related functions --- ratio of gamma functions, powers, digamma and polygamma functions. The aim is to introduce a general theory which can unify various particular formulas for factorial functions and binomial coefficients. The connection with inequalities for gamma function is established. Also, a systematic approach to asymptotic expansion of various integral means, bivariate classical and parameter means is given, with applications to comparison of means.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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