Asymptotic expansions of gamma and related functions, binomial coefficients, inequalities and means (CROSBI ID 221813)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Elezović, Neven
engleski
Asymptotic expansions of gamma and related functions, binomial coefficients, inequalities and means
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.
Asymptotic expansion; gamma function; digamma function; factorials; Stirling formula; binomial coefficients; Catalan numbers; means; integral means}; ;
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