AbstractTwo integrals of Ramanujan are used to define a q-analogue of the Euler beta integral on the real line and of the Cauchy beta-integral on the complex unit circle. Such integrals are connected to orthogonal, biorthogonal and Laurent polynomials. Explicit examples of Laurent orthogonal polynomials are given on the real line and on the circle
By using Ramanujan's q-extension of the Euler integral representation for the gamma function, we der...
AbstractIn this paper, the construction of orthogonal bases in the space of Laurent polynomials on t...
We give a brief survey to some basic elements of the theory of orthogonal rational functions. Two ma...
AbstractTwo integrals of Ramanujan are used to define a q-analogue of the Euler beta integral on the...
We discuss q-analogues of the Euler reflection formula and the Euler gamma integral. The central rol...
In 1915, Ramanujan stated the following formula ∫ 0 ∞ t x - 1 ( - a t ; q ) ∞ ( - t...
The aim of this paper is to construct generating functions for q-beta polynomials. By using these ge...
AbstractIn this paper we generalize the notion of orthogonal Laurent polynomials to orthogonal ratio...
Abstract We establish a bijection between Hermitian functionals on the linear space of Laurent polyn...
In this paper we generalize the notion of orthogonal Laurent polynomials to orthogonal rational func...
Similar as in the classical case of polynomials, as is known, para-orthogonal rational functions on ...
AbstractWe establish a bijection between Hermitian functionals on the linear space of Laurent polyno...
We study q-integral representations of the q-gamma and the q-beta functions. This study leads to a v...
By applying an integral representation for qk2, we systematically derive a large number of new Fouri...
AbstractIn this paper, we give an extension of the q-beta integral. Applications of the extension ar...
By using Ramanujan's q-extension of the Euler integral representation for the gamma function, we der...
AbstractIn this paper, the construction of orthogonal bases in the space of Laurent polynomials on t...
We give a brief survey to some basic elements of the theory of orthogonal rational functions. Two ma...
AbstractTwo integrals of Ramanujan are used to define a q-analogue of the Euler beta integral on the...
We discuss q-analogues of the Euler reflection formula and the Euler gamma integral. The central rol...
In 1915, Ramanujan stated the following formula ∫ 0 ∞ t x - 1 ( - a t ; q ) ∞ ( - t...
The aim of this paper is to construct generating functions for q-beta polynomials. By using these ge...
AbstractIn this paper we generalize the notion of orthogonal Laurent polynomials to orthogonal ratio...
Abstract We establish a bijection between Hermitian functionals on the linear space of Laurent polyn...
In this paper we generalize the notion of orthogonal Laurent polynomials to orthogonal rational func...
Similar as in the classical case of polynomials, as is known, para-orthogonal rational functions on ...
AbstractWe establish a bijection between Hermitian functionals on the linear space of Laurent polyno...
We study q-integral representations of the q-gamma and the q-beta functions. This study leads to a v...
By applying an integral representation for qk2, we systematically derive a large number of new Fouri...
AbstractIn this paper, we give an extension of the q-beta integral. Applications of the extension ar...
By using Ramanujan's q-extension of the Euler integral representation for the gamma function, we der...
AbstractIn this paper, the construction of orthogonal bases in the space of Laurent polynomials on t...
We give a brief survey to some basic elements of the theory of orthogonal rational functions. Two ma...
DOI
Add to ORKG