Add to ORKGIn this paper, we investigate functions introduced by Knopp and complete them to non-holomorphic bimodular forms of positive integral weight related to indefinite binary quadratic forms. We study further properties of our completions, which in turn motivates certain local cusp forms. We then define modular analogues of negative weight of our local cusp forms, which are locally harmonic Maass forms with continuously removable singularities. They admit local splittings in terms of Eichler integrals, and a realization as outputs of a certain theta lift.Comment: 21 pages, comments welcom
AbstractIn the present paper, the authors investigate starlikeness and convexity of a class of multi...
The integral $\int_{-\infty}^{\infty} e^{- x^2 - g x^4} dx $ is used as an introductory learning too...
The aim of our paper is to present Pδ -transforms of the Kummer’s confluent hypergeometric functions ...
The denominator formula for the Monster Lie algebra is the product expansion for the modular functio...
AbstractWe find some modularity criterion for a product of Klein forms of the congruence subgroup Γ1...
In the paper, by virtue of the convolution theorem for the Laplace transforms, with the aid of three...
We consider some finite binomial sums involving the derivatives of the binomial coefficient and deve...
AbstractLet R(w;q) be Dysonʼs generating function for partition ranks. For roots of unity ζ≠1, it is...
AbstractThe purpose of the paper is for any compactum K⊂Rn to construct a space Cp(K) of commutative...
In this paper, we introduce a new class H_{T}(f,g;\alpha ,k) of analytic functions in the open unit ...
AbstractIn this paper we introduce and study two subclasses Σp,q,s(α1;A,B,λ) and Σp,q,s+(α1;A,B,λ) o...
AbstractLet f be a self-dual Hecke–Maass cusp form for GL(3). We show that f is uniquely determined ...
AbstractIn this paper, we introduce new subclasses of analytic and univalent functions and establish...
Mathematical structures of integrable systems, its deepening and expansion. September 9-11, 2019. ed...
AbstractIn contrast to the famous Henkin–Skoda theorem concerning the zero varieties of holomorphic ...
AbstractIn the present paper, the authors investigate starlikeness and convexity of a class of multi...
The integral $\int_{-\infty}^{\infty} e^{- x^2 - g x^4} dx $ is used as an introductory learning too...
The aim of our paper is to present Pδ -transforms of the Kummer’s confluent hypergeometric functions ...
The denominator formula for the Monster Lie algebra is the product expansion for the modular functio...
AbstractWe find some modularity criterion for a product of Klein forms of the congruence subgroup Γ1...
In the paper, by virtue of the convolution theorem for the Laplace transforms, with the aid of three...
We consider some finite binomial sums involving the derivatives of the binomial coefficient and deve...
AbstractLet R(w;q) be Dysonʼs generating function for partition ranks. For roots of unity ζ≠1, it is...
AbstractThe purpose of the paper is for any compactum K⊂Rn to construct a space Cp(K) of commutative...
In this paper, we introduce a new class H_{T}(f,g;\alpha ,k) of analytic functions in the open unit ...
AbstractIn this paper we introduce and study two subclasses Σp,q,s(α1;A,B,λ) and Σp,q,s+(α1;A,B,λ) o...
AbstractLet f be a self-dual Hecke–Maass cusp form for GL(3). We show that f is uniquely determined ...
AbstractIn this paper, we introduce new subclasses of analytic and univalent functions and establish...
Mathematical structures of integrable systems, its deepening and expansion. September 9-11, 2019. ed...
AbstractIn contrast to the famous Henkin–Skoda theorem concerning the zero varieties of holomorphic ...
AbstractIn the present paper, the authors investigate starlikeness and convexity of a class of multi...
The integral $\int_{-\infty}^{\infty} e^{- x^2 - g x^4} dx $ is used as an introductory learning too...
The aim of our paper is to present Pδ -transforms of the Kummer’s confluent hypergeometric functions ...