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uniform convergenceOffice holder
We study Fourier-Bessel series on a q-linear grid, defined as expansions in complete q-orthogonal systems constructed with the third Jackson q-Bessel function, and obtain sufficient conditions for uniform convergence. The convergence results are illustrated with specific examples of expansions in q-Fourier-Bessel series.Austrian Science FoundMinisterio de Economía y CompetitividadJunta de AndalucíaFundação para a Ciência e a Tecnologia (Portugal
[[abstract]]In this paper we give the q-analogue of the higher-order Bessel opera- tors studied by M...
For most orthogonal systems and their corresponding Fourier series, the study of the almost everywhe...
By taking an appropriate limit, we obtain the Bessel functions related to root systems as limit of H...
We define q-analogues of Fourier-Bessel series, by means of complete q- orthogonal systems construc...
AbstractFor 0<q<1 define the symmetric q-linear operator acting on a suitable function f(x) by δf(x)...
AbstractLet Jμ denote the Bessel function of order μ. The functions x−α/2−β/2−1/2Jα+β+2n+1(x1/2), n=...
AbstractIn this paper we study the q-analogue of the jα Bessel function (see (1)) which results afte...
Let ν ≥ 0 be a real number and set, J(x) = cνx^1/2-νJ ν-1/2^(x) Where cν = 2^ν-1/2Γ(ν+1/2) and Jν-1/...
Abstract. Let Jµ denote the Bessel function of order µ. For α> −1, the system x−α/2−1/2Jα+2n+1(x1...
Abstract. Let Jµ denote the Bessel function of order µ. The functions x−α/2−β/2−1/2Jα+β+2n+1(x1/2), ...
AbstractThe structured higher-order Bessel-type linear ordinary differential equations were first di...
AbstractFor most orthogonal systems and their corresponding Fourier series, the study of the almost ...
We show a connection formula of a linear q-differential equation satisfied by 1ϕ1(0; a; q, x). The b...
Abstract: In [4], G. H. Hardy proved that, under certain conditions, the only functions satisfying ∫...
Let J denote the Bessel function of order . For >-1, the system x-/2-1/2J+2n+1(x1/2, n=0, 1, 2,..., ...
[[abstract]]In this paper we give the q-analogue of the higher-order Bessel opera- tors studied by M...
For most orthogonal systems and their corresponding Fourier series, the study of the almost everywhe...
By taking an appropriate limit, we obtain the Bessel functions related to root systems as limit of H...
We define q-analogues of Fourier-Bessel series, by means of complete q- orthogonal systems construc...
AbstractFor 0<q<1 define the symmetric q-linear operator acting on a suitable function f(x) by δf(x)...
AbstractLet Jμ denote the Bessel function of order μ. The functions x−α/2−β/2−1/2Jα+β+2n+1(x1/2), n=...
AbstractIn this paper we study the q-analogue of the jα Bessel function (see (1)) which results afte...
Let ν ≥ 0 be a real number and set, J(x) = cνx^1/2-νJ ν-1/2^(x) Where cν = 2^ν-1/2Γ(ν+1/2) and Jν-1/...
Abstract. Let Jµ denote the Bessel function of order µ. For α> −1, the system x−α/2−1/2Jα+2n+1(x1...
Abstract. Let Jµ denote the Bessel function of order µ. The functions x−α/2−β/2−1/2Jα+β+2n+1(x1/2), ...
AbstractThe structured higher-order Bessel-type linear ordinary differential equations were first di...
AbstractFor most orthogonal systems and their corresponding Fourier series, the study of the almost ...
We show a connection formula of a linear q-differential equation satisfied by 1ϕ1(0; a; q, x). The b...
Abstract: In [4], G. H. Hardy proved that, under certain conditions, the only functions satisfying ∫...
Let J denote the Bessel function of order . For >-1, the system x-/2-1/2J+2n+1(x1/2, n=0, 1, 2,..., ...
[[abstract]]In this paper we give the q-analogue of the higher-order Bessel opera- tors studied by M...
For most orthogonal systems and their corresponding Fourier series, the study of the almost everywhe...
By taking an appropriate limit, we obtain the Bessel functions related to root systems as limit of H...
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