Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Ferenc Toókos"'
Autor:
Béla Nagy, Ferenc Toókos
Publikováno v:
Acta Scientiarum Mathematicarum. 79:129-174
Autor:
Jemal Gishe, Ferenc Toókos
Publikováno v:
Acta Scientiarum Mathematicarum. 78:529-540
Autor:
Wolfgang Erb, Ferenc Toókos
Publikováno v:
Applied Mathematics and Computation. 217:4771-4780
We investigate monotonicity properties of extremal zeros of orthogonal polynomials depending on a parameter. Using a functional analysis method we prove the monotonicity of extreme zeros of associated Jacobi, associated Gegenbauer and q -Meixner–Po
Autor:
Kerstin Jordaan, Ferenc Toókos
Publikováno v:
Acta Mathematica Hungarica. 128:150-164
We use the generating functions of some q-orthogonal polynomials to obtain mixed recurrence relations involving polynomials with shifted parameter values. These relations are used to prove interlacing results for the zeros of Al- Salam-Chihara, conti
Autor:
Kerstin Jordaan, Ferenc Toókos
Publikováno v:
Journal of Computational and Applied Mathematics. 233(3):762-767
We study convexity properties of the zeros of some special functions that follow from the convexity theorem of Sturm. We prove results on the intervals of convexity for the zeros of Laguerre, Jacobi and ultraspherical polynomials, as well as function
Autor:
Ferenc Toókos, Kerstin Jordaan
Publikováno v:
Applied Numerical Mathematics. 59:2015-2022
We study the interlacing properties of the zeros of orthogonal polynomials p"n and r"m, m=n or n-1 where {p"n}"n"="1^~ and {r"m}"m"="1^~ are different sequences of orthogonal polynomials. The results obtained extend a conjecture by Askey, that the ze
Autor:
Ferenc Toókos
Publikováno v:
Acta Mathematica Hungarica. 111:131-155
We investigate local properties of the Green function of the complement of a compact set Ein R d, d>2. We give a Wiener type characterization for the Holder continuity of the Green function, thus extending a result of L. Carleson and V. Totik. The ob