AbstractIn the Lost Notebook, Ramanujan presents a truly enigmatic infinite product expansion for the two variable Rogers–Ramanujan series. In this paper, we prove this formula by a careful analysis of the Stieltjes–Wigert polynomials
AbstractThe main purpose of this paper is to use a mean value theorem of Dirichlet L-functions to st...
AbstractThis paper is concerned with an iterative functional differential equation x′(x[r](z))=c0z+c...
AbstractIn this paper we prove that if f∈CW([0,1]2) and the function f is bounded partial p-variatio...
AbstractWe establish the infinite product expansion for ∑n≧0anqn2. This is a corrected version of th...
AbstractWe prove, for the first time, a series of four related identities from Ramanujan's lost note...
AbstractThe present paper is a study of pseudo-Jacobi polynomials which have been defined on the pat...
AbstractLevinson investigated the number of real zeros of the real or imaginary part ofπ−σ2−it2Γσ2+i...
AbstractIf pk(P) is the number of integer partitions of k⩾1 whose parts lie in P, it is shown that p...
AbstractLet D<0 be the fundamental discriminant of an imaginary quadratic field, and h(D) its class ...
AbstractWe prove an asymptotic formula for the number of permutations for which the associated permu...
AbstractFor a positive Borel measure dμ, we prove that the constantγn(dν;dμ)≔supπ∈Pn⧹{0}∫−∞∞π2(x)dν(...
AbstractThe article is concerned with the Bourgain, Brezis and Mironescu theorem on the asymptotic b...
AbstractIn this paper a BMO-type characterization of Dirichlet type spaces Dp on the unit ball of Cn...
AbstractLet ut=uxx−q(x)u,0≤x≤1,t>0,u(0,t)=0,u(1,t)=a(t),u(x,0)=0, where a(t) is a given function van...
AbstractLet 1=d1(n)<d2(n)<⋯<dτ(n)=n be the sequence of all positive divisors of the integer n in inc...
AbstractThe main purpose of this paper is to use a mean value theorem of Dirichlet L-functions to st...
AbstractThis paper is concerned with an iterative functional differential equation x′(x[r](z))=c0z+c...
AbstractIn this paper we prove that if f∈CW([0,1]2) and the function f is bounded partial p-variatio...
AbstractWe establish the infinite product expansion for ∑n≧0anqn2. This is a corrected version of th...
AbstractWe prove, for the first time, a series of four related identities from Ramanujan's lost note...
AbstractThe present paper is a study of pseudo-Jacobi polynomials which have been defined on the pat...
AbstractLevinson investigated the number of real zeros of the real or imaginary part ofπ−σ2−it2Γσ2+i...
AbstractIf pk(P) is the number of integer partitions of k⩾1 whose parts lie in P, it is shown that p...
AbstractLet D<0 be the fundamental discriminant of an imaginary quadratic field, and h(D) its class ...
AbstractWe prove an asymptotic formula for the number of permutations for which the associated permu...
AbstractFor a positive Borel measure dμ, we prove that the constantγn(dν;dμ)≔supπ∈Pn⧹{0}∫−∞∞π2(x)dν(...
AbstractThe article is concerned with the Bourgain, Brezis and Mironescu theorem on the asymptotic b...
AbstractIn this paper a BMO-type characterization of Dirichlet type spaces Dp on the unit ball of Cn...
AbstractLet ut=uxx−q(x)u,0≤x≤1,t>0,u(0,t)=0,u(1,t)=a(t),u(x,0)=0, where a(t) is a given function van...
AbstractLet 1=d1(n)<d2(n)<⋯<dτ(n)=n be the sequence of all positive divisors of the integer n in inc...
AbstractThe main purpose of this paper is to use a mean value theorem of Dirichlet L-functions to st...
AbstractThis paper is concerned with an iterative functional differential equation x′(x[r](z))=c0z+c...
AbstractIn this paper we prove that if f∈CW([0,1]2) and the function f is bounded partial p-variatio...
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