This paper deals with the classical quest for "closed form" expressions of binomial sums and series. We shall consider a generalised Binomial sum and some relations and investigate several methods for its representation in closed form. In the process of our analysis we shall "discover" several new identities and the closed form representation of a related series depending on a parameter
In this paper we obtain explicit formulas for mock theta functions $\Phi^{[m,s]}(\tau, z_1, z_2,t)$ ...
The aim of this paper is to describe the solution (f, g) of the equation [f(x)-f(y)]g′(αx+(1-α)y)=[g...
2noWe prove the existence and multiplicity of subharmonic solutions for Hamiltonian systems obtained...
This paper deals with the classical quest for "closed form" expressions of binomial sums and series....
We extend a number of identities valid for the ordinary case to generalized Hermite polynomials with...
We consider the generation of analytic semigroups by elliptic operators with discontinuous coefficie...
It is well known that each solution of the Toda lattice can be represented by a tridiagonal matrix J...
In this paper we construct a new class of continuous methods for Volterra integral equations. These...
Equations for the best integrability exponent, for monotonic functions in one-dimensional Gehring an...
The spectrum of a second order elliptic operator S, with ellipticity constant α discontinuous in a p...
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...
Mathematics Subject Classification: Primary 33E20, 44A10; Secondary 33C10, 33C20, 44A20By using inte...
AbstractIn this paper, we introduce the concept of second order duality for the variational problems...
AbstractIn this paper, we tried to evaluate the fractional derivatives by using the Chebyshev series...
AbstractIn this work, we investigate existence and uniqueness of solutions for a class of nonlinear ...
In this paper we obtain explicit formulas for mock theta functions $\Phi^{[m,s]}(\tau, z_1, z_2,t)$ ...
The aim of this paper is to describe the solution (f, g) of the equation [f(x)-f(y)]g′(αx+(1-α)y)=[g...
2noWe prove the existence and multiplicity of subharmonic solutions for Hamiltonian systems obtained...
This paper deals with the classical quest for "closed form" expressions of binomial sums and series....
We extend a number of identities valid for the ordinary case to generalized Hermite polynomials with...
We consider the generation of analytic semigroups by elliptic operators with discontinuous coefficie...
It is well known that each solution of the Toda lattice can be represented by a tridiagonal matrix J...
In this paper we construct a new class of continuous methods for Volterra integral equations. These...
Equations for the best integrability exponent, for monotonic functions in one-dimensional Gehring an...
The spectrum of a second order elliptic operator S, with ellipticity constant α discontinuous in a p...
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...
Mathematics Subject Classification: Primary 33E20, 44A10; Secondary 33C10, 33C20, 44A20By using inte...
AbstractIn this paper, we introduce the concept of second order duality for the variational problems...
AbstractIn this paper, we tried to evaluate the fractional derivatives by using the Chebyshev series...
AbstractIn this work, we investigate existence and uniqueness of solutions for a class of nonlinear ...
In this paper we obtain explicit formulas for mock theta functions $\Phi^{[m,s]}(\tau, z_1, z_2,t)$ ...
The aim of this paper is to describe the solution (f, g) of the equation [f(x)-f(y)]g′(αx+(1-α)y)=[g...
2noWe prove the existence and multiplicity of subharmonic solutions for Hamiltonian systems obtained...