Results 21 to 30 of about 886 (183)
Jacobi polynomials from compatibility conditions [PDF]
Proceedings of the American Mathematical Society, 2004 We revisit the ladder operators for orthogonal polynomials and re-interpret two supplementary conditions as compatibility conditions of two linear over-determined systems; one involves the variation of the polynomials with respect to the variable z z (spectral parameter) and the other a recurrence relation in n n ...
Chen, Yang, Ismail, Mourad
openaire +4 more sources
New Biparametric Families of Apostol-Frobenius-Euler Polynomials level-m
Математичні Студії, 2021 We introduce two biparametric families of Apostol-Frobenius-Euler polynomials of level-$m$. We give some algebraic properties, as well as some other identities which connect these polynomial class with the generalized $\lambda$-Stirling type numbers of ...
D. Bedoya +3 more
doaj +1 more source
Divergent Jacobi polynomial series [PDF]
Proceedings of the American Mathematical Society, 1983 Fix real numbers α ⩾ β ⩾ − 1 2 \alpha \geqslant \beta \geqslant - \tfrac {1}{2} , with α > − 1 2 \alpha > - \tfrac {1}{2} , and equip [
openaire +2 more sources
Jacobi polynomials as generalized Faber polynomials [PDF]
Transactions of the American Mathematical Society, 1990 Let B {\mathbf {B}} be an open bounded subset of the complex z z -plane with closure B ¯ \overline {\mathbf {B}} whose complement B ¯ c {
openaire +1 more source
Bispectral Jacobi type polynomials [PDF]
Advances in Applied Mathematics, 2022 23 pages.
Antonio J. Durán +1 more
openaire +3 more sources
Two-variable -1 Jacobi polynomials [PDF]
Integral Transforms and Special Functions, 2015 13 ...
Genest, Vincent X. +3 more
openaire +2 more sources
On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2011 A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials.
Tom H. Koornwinder
doaj +1 more source
$-1$ Krall–Jacobi polynomials [PDF]
Methods and Applications of Analysis, 2015 We study a family of orthogonal polynomials which satisfy (apart from a 3-term recurrence relation) an eigenvalue equation involving a third order differential operator of Dunkl-type. The orthogonality measure of these polynomials consists in the continuous measure of the little -1 Jacobi polynomials to which is added an arbitrary mass located at the ...
Luc Vinet, Guo-Fu Yu, Alexei Zhedanov
openaire +3 more sources
Chained-Function Filter Synthesis Based on the Modified Jacobi Polynomials [PDF]
Radioengineering, 2018 A new class of filter functions with pass-band ripple which derives its origin from a method of determining the chained function lowpass filters described by Guglielmi and Connor is introduced.
G. Perenic +3 more
doaj
Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space
International Journal of Mathematics and Mathematical Sciences, 2004 A new method for constructing Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space is presented. In earlier research, we only dealt with scalar-valued weight functions.
Fred Brackx +2 more
doaj +1 more source