AbstractWe study the problem of the asymptotic expansion of the ratio of two gamma functions Γ(x+α)/Γ(x+β) as x→+∞, α,β⩾0. In particular, an alternate asymptotic formula with respect to the ones known in literature is given
In this paper, we establish several new modular equations of degree 9 using Ramanujan's mixed modula...
AbstractIn this paper, we consider second order elliptic problems with rapidly oscillating coefficie...
AbstractLet sn=1+1/2+⋯+1/(n−1)−logn. In 1995, the author has found a series transformation of the ty...
AbstractThe goal of this paper is to prove the following asymptotic formula Γ(x)≈2πe−b(x+b)xexp(−x−1...
The purpose of this paper is to establish a Cohen type inequality for Fourier expansion with respe...
We obtain complete asymptotic expansions for the exact upper bounds of the approximations of functio...
AbstractLet σ(n) be the sum of the positive divisors of n, and let A(t) be the natural density of th...
Let µ be the Jacobi measure supported on the interval [1; 1]. Let introduce the Sobolev-type inner ...
AbstractIn this paper, we establish approximation formulas for evaluating Landauʼs constants
AbstractLet σα(n) be the sum of the αth power of the positive divisors of n. We establish an asympto...
AbstractWe present the asymptotic behavior of the coexistence states near the point of bifurcation f...
AbstractWe present in detail a linear, constant-coefficient initial/boundary value problem for which...
AbstractWe show a limit formula for Eisenstein series by using the theory of a multiple cotangent fu...
AbstractA new refined form of Jordan’s inequality [D.S. Mitrinovic, Analytic Inequalities, Springer-...
AbstractWe examine the asymptotic behavior as n→+∞ of the coefficients Gn appearing in an asymptotic...
In this paper, we establish several new modular equations of degree 9 using Ramanujan's mixed modula...
AbstractIn this paper, we consider second order elliptic problems with rapidly oscillating coefficie...
AbstractLet sn=1+1/2+⋯+1/(n−1)−logn. In 1995, the author has found a series transformation of the ty...
AbstractThe goal of this paper is to prove the following asymptotic formula Γ(x)≈2πe−b(x+b)xexp(−x−1...
The purpose of this paper is to establish a Cohen type inequality for Fourier expansion with respe...
We obtain complete asymptotic expansions for the exact upper bounds of the approximations of functio...
AbstractLet σ(n) be the sum of the positive divisors of n, and let A(t) be the natural density of th...
Let µ be the Jacobi measure supported on the interval [1; 1]. Let introduce the Sobolev-type inner ...
AbstractIn this paper, we establish approximation formulas for evaluating Landauʼs constants
AbstractLet σα(n) be the sum of the αth power of the positive divisors of n. We establish an asympto...
AbstractWe present the asymptotic behavior of the coexistence states near the point of bifurcation f...
AbstractWe present in detail a linear, constant-coefficient initial/boundary value problem for which...
AbstractWe show a limit formula for Eisenstein series by using the theory of a multiple cotangent fu...
AbstractA new refined form of Jordan’s inequality [D.S. Mitrinovic, Analytic Inequalities, Springer-...
AbstractWe examine the asymptotic behavior as n→+∞ of the coefficients Gn appearing in an asymptotic...
In this paper, we establish several new modular equations of degree 9 using Ramanujan's mixed modula...
AbstractIn this paper, we consider second order elliptic problems with rapidly oscillating coefficie...
AbstractLet sn=1+1/2+⋯+1/(n−1)−logn. In 1995, the author has found a series transformation of the ty...