AbstractLittle q-Laguerre polynomials {pn(⋅;a|q)}n=0∞ are classically defined for 0<q<1 and 0<aq<1. After extending this family to a new one in which arbitrary real values of the parameter a are allowed, we give an orthogonality condition for those cases for which Favard’s Theorem fails to work
22 pages, no figures.-- MSC codes: Primary 33C25; Secondary 33D45.-- Issue title: "Higher transcende...
AbstractA Laguerre polynomial sequence of parameter ε/2 was previously characterized in a recent wor...
AbstractIn this paper the authors study “truncated” quadrature rules based on the zeros of Generaliz...
AbstractLittle q-Laguerre polynomials {pn(⋅;a|q)}n=0∞ are classically defined for 0<q<1 and 0<aq<1. ...
AbstractIt is shown that the polynomials {Lnα,M0,M1,…,MN(x)}n = 0∞ defined by Lnα,M0M1,…,MN(x)=∑k=0N...
Abstract The q− difference analog of the classical ladder operators is derived for those orthogonal ...
AbstractBig q-Jacobi polynomials {Pn(⋅;a,b,c;q)}n=0∞ are classically defined for 0<a<q−1, 0<b<q−1 an...
AbstractIn this paper, polynomials which are orthogonal with respect to the inner product〈p,r〉S=∑k=0...
AbstractThe support of the orthogonality measure of so-called little q-Laguerre polynomials {ln(.;a|...
AbstractWe study polynomials {Lnα, M0, M1,…, MN(x; q)}n = 0∞ orthogonal with respect to the inner pr...
Let μ be a finite positive Borel measure supported on R , L[f]=xf′′+(α+1−x)f′ with α>−1 , or ...
Let μ be a finite positive Borel measure supported on R , L[f]=xf′′+(α+1−x)f′ with α>−1 , or ...
AbstractA special case of the big q-Jacobi polynomials Pn(x;a,b,c;q), which corresponds to a=b=−c, i...
Let μ be a finite positive Borel measure supported on R , L[f]=xf′′+(α+1−x)f′ with α>−1 , or ...
22 pages, no figures.-- MSC codes: Primary 33C25; Secondary 33D45.-- Issue title: "Higher transcende...
22 pages, no figures.-- MSC codes: Primary 33C25; Secondary 33D45.-- Issue title: "Higher transcende...
AbstractA Laguerre polynomial sequence of parameter ε/2 was previously characterized in a recent wor...
AbstractIn this paper the authors study “truncated” quadrature rules based on the zeros of Generaliz...
AbstractLittle q-Laguerre polynomials {pn(⋅;a|q)}n=0∞ are classically defined for 0<q<1 and 0<aq<1. ...
AbstractIt is shown that the polynomials {Lnα,M0,M1,…,MN(x)}n = 0∞ defined by Lnα,M0M1,…,MN(x)=∑k=0N...
Abstract The q− difference analog of the classical ladder operators is derived for those orthogonal ...
AbstractBig q-Jacobi polynomials {Pn(⋅;a,b,c;q)}n=0∞ are classically defined for 0<a<q−1, 0<b<q−1 an...
AbstractIn this paper, polynomials which are orthogonal with respect to the inner product〈p,r〉S=∑k=0...
AbstractThe support of the orthogonality measure of so-called little q-Laguerre polynomials {ln(.;a|...
AbstractWe study polynomials {Lnα, M0, M1,…, MN(x; q)}n = 0∞ orthogonal with respect to the inner pr...
Let μ be a finite positive Borel measure supported on R , L[f]=xf′′+(α+1−x)f′ with α>−1 , or ...
Let μ be a finite positive Borel measure supported on R , L[f]=xf′′+(α+1−x)f′ with α>−1 , or ...
AbstractA special case of the big q-Jacobi polynomials Pn(x;a,b,c;q), which corresponds to a=b=−c, i...
Let μ be a finite positive Borel measure supported on R , L[f]=xf′′+(α+1−x)f′ with α>−1 , or ...
22 pages, no figures.-- MSC codes: Primary 33C25; Secondary 33D45.-- Issue title: "Higher transcende...
22 pages, no figures.-- MSC codes: Primary 33C25; Secondary 33D45.-- Issue title: "Higher transcende...
AbstractA Laguerre polynomial sequence of parameter ε/2 was previously characterized in a recent wor...
AbstractIn this paper the authors study “truncated” quadrature rules based on the zeros of Generaliz...
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