AbstractAn analysis is given for the expansion (60 terms) of a gamma function ratio discussed by Stieltjes and others. A Stieltjes continued fraction is derived, affording lower and upper bound (but lacking a rigorous proof), along with continued fraction for the odd and even series
The aim of this paper is to construct the asymptotic series of the ratio of gamma functions by Kersh...
AbstractWe examine the asymptotic behavior as n→+∞ of the coefficients Gn appearing in an asymptotic...
AbstractWe use continuous relations for the generalised hypergeometric series 3F2 to give new proofs...
AbstractRecurrence relations for the coefficients in the asymptotic expansion of a gamma function ra...
AbstractRecurrence relations for the coefficients in the asymptotic expansion of a gamma function ra...
The ln(z) consists of three parts, (i) (z 12) ln z z, (ii) the constant ln p 2, and (iii) the Stie...
An asymptotic expansion for a ratio of products of gamma functions is derived. 2000 Mathematics Subj...
An asymptotic expansion of a ratio of products of gamma functions is derived. It generalizes a formu...
In this paper we develop Windschitl’s approximation formula for the gamma function by giving two asy...
Abstract. An asymptotic expansion of a ratio of products of gamma functions is derived. It generaliz...
We study the problem of the asymptotic expansion of the ratio of two gamma functions Γ(x+α)/Γ(x+β) a...
AbstractWe study the problem of the asymptotic expansion of the ratio of two gamma functions Γ(x+α)/...
We study the problem of the asymptotic expansion of the ratio of two gamma functions Γ(x+α)/Γ(x+β) a...
AbstractFormal expansions, giving as particular cases semiasymptotic expansions, of the ratio of two...
AbstractWe unify several asymptotic expansions for the gamma function due to Laplace, Ramanujan–Kara...
The aim of this paper is to construct the asymptotic series of the ratio of gamma functions by Kersh...
AbstractWe examine the asymptotic behavior as n→+∞ of the coefficients Gn appearing in an asymptotic...
AbstractWe use continuous relations for the generalised hypergeometric series 3F2 to give new proofs...
AbstractRecurrence relations for the coefficients in the asymptotic expansion of a gamma function ra...
AbstractRecurrence relations for the coefficients in the asymptotic expansion of a gamma function ra...
The ln(z) consists of three parts, (i) (z 12) ln z z, (ii) the constant ln p 2, and (iii) the Stie...
An asymptotic expansion for a ratio of products of gamma functions is derived. 2000 Mathematics Subj...
An asymptotic expansion of a ratio of products of gamma functions is derived. It generalizes a formu...
In this paper we develop Windschitl’s approximation formula for the gamma function by giving two asy...
Abstract. An asymptotic expansion of a ratio of products of gamma functions is derived. It generaliz...
We study the problem of the asymptotic expansion of the ratio of two gamma functions Γ(x+α)/Γ(x+β) a...
AbstractWe study the problem of the asymptotic expansion of the ratio of two gamma functions Γ(x+α)/...
We study the problem of the asymptotic expansion of the ratio of two gamma functions Γ(x+α)/Γ(x+β) a...
AbstractFormal expansions, giving as particular cases semiasymptotic expansions, of the ratio of two...
AbstractWe unify several asymptotic expansions for the gamma function due to Laplace, Ramanujan–Kara...
The aim of this paper is to construct the asymptotic series of the ratio of gamma functions by Kersh...
AbstractWe examine the asymptotic behavior as n→+∞ of the coefficients Gn appearing in an asymptotic...
AbstractWe use continuous relations for the generalised hypergeometric series 3F2 to give new proofs...