AbstractThe famous Stirling's formula says that Γ(s+1)=2πs(s/e)seγ(s)=2π(s/e)seθ(s)/12s. In this paper, we obtain a novel convergent asymptotic series of γ(s) and proved that θ(s) is increasing for s>0
AbstractA class of two-sided inequalities for the Barnes G-function are presented, which extends a r...
AbstractWe study the problem of the asymptotic expansion of the ratio of two gamma functions Γ(x+α)/...
AbstractThe problem of approximation to the Euler gamma function on the basis of some Ramanujan's fo...
AbstractIt is shown that for every α>1, we have ∑k=n+1∞1kα=1(α−1)(n+θn)α−1 for some strictly decreas...
AbstractThe goal of this paper is to prove the following asymptotic formula Γ(x)≈2πe−b(x+b)xexp(−x−1...
AbstractWe shall extract the essence of the Adamchik–Srivastava generating function method (Analysis...
The Digamma function Γ' /Γ admits a well-known (divergent) asymptotic expansion involving Bernoulli'...
AbstractLet γ=0.577215… be the Euler–Mascheroni constant, and let Rn=∑k=1n1k−log(n+12). We prove tha...
AbstractRecently, R. Tauraso established finite p-analogues of Apéryʼs famous series for ζ(2) and ζ(...
AbstractWe unify several asymptotic expansions for the gamma function due to Laplace, Ramanujan–Kara...
Contains a correction with respect to the printed versionWe provide sharp estimates for the number o...
AbstractWe establish a q-analogue of the Bailey–Borwein–Bradley identity generating accelerated seri...
AbstractWe examine the asymptotic behavior as n→+∞ of the coefficients Gn appearing in an asymptotic...
AbstractWe show that the use of generalized multivariable forms of Hermite polynomials provide a use...
AbstractShi, Liu and Hu [X. Shi, F. Liu, M. Hu, A new asymptotic series for the Gamma function, J. C...
AbstractA class of two-sided inequalities for the Barnes G-function are presented, which extends a r...
AbstractWe study the problem of the asymptotic expansion of the ratio of two gamma functions Γ(x+α)/...
AbstractThe problem of approximation to the Euler gamma function on the basis of some Ramanujan's fo...
AbstractIt is shown that for every α>1, we have ∑k=n+1∞1kα=1(α−1)(n+θn)α−1 for some strictly decreas...
AbstractThe goal of this paper is to prove the following asymptotic formula Γ(x)≈2πe−b(x+b)xexp(−x−1...
AbstractWe shall extract the essence of the Adamchik–Srivastava generating function method (Analysis...
The Digamma function Γ' /Γ admits a well-known (divergent) asymptotic expansion involving Bernoulli'...
AbstractLet γ=0.577215… be the Euler–Mascheroni constant, and let Rn=∑k=1n1k−log(n+12). We prove tha...
AbstractRecently, R. Tauraso established finite p-analogues of Apéryʼs famous series for ζ(2) and ζ(...
AbstractWe unify several asymptotic expansions for the gamma function due to Laplace, Ramanujan–Kara...
Contains a correction with respect to the printed versionWe provide sharp estimates for the number o...
AbstractWe establish a q-analogue of the Bailey–Borwein–Bradley identity generating accelerated seri...
AbstractWe examine the asymptotic behavior as n→+∞ of the coefficients Gn appearing in an asymptotic...
AbstractWe show that the use of generalized multivariable forms of Hermite polynomials provide a use...
AbstractShi, Liu and Hu [X. Shi, F. Liu, M. Hu, A new asymptotic series for the Gamma function, J. C...
AbstractA class of two-sided inequalities for the Barnes G-function are presented, which extends a r...
AbstractWe study the problem of the asymptotic expansion of the ratio of two gamma functions Γ(x+α)/...
AbstractThe problem of approximation to the Euler gamma function on the basis of some Ramanujan's fo...
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