Asymptotic expansions of integral means and applications to the ratio of gamma functions (CROSBI ID 205550)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Elezović, Neven ; Vukšić, Lenka
engleski
Asymptotic expansions of integral means and applications to the ratio of gamma functions
Integral means are important class of bivariate means. In this paper we prove the very general algorithm for calculation of coefficients in asymptotic expansion of integral mean. It is based on explicit solving the equation of the form B(A(x))=C(x), where asymptotic expansions of B and C are known. The results are illustrated by calculation of some important integral means connected with gamma function.
asymptotic expansion; integral mean; gamma function; wallis ratio; digamma function
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Podaci o izdanju
235
2014.
187-200
objavljeno
0096-3003
10.1016/j.amc.2014.02.026