Results 81 to 90 of about 939,916 (117)
Exceptional Askey-Wilson-type polynomials through Darboux-Crum transformations
, 2015 An alternative derivation is presented of the infinitely many exceptional Wilson and Askey-Wilson polynomials, which were introduced by the present authors in 2009.
Sasaki, R, Odake, S
core
On a generalization of the Rogers generating function. [PDF]
J Math Anal Appl, 2019 Cohl HS, Costas-Santos RS, Wakhare TV.
europepmc +1 more source
Associated Askey-Wilson polynomials as Laguerre-Hahn orthogonal polynomials
, 1988 One looks for [formal] orthogonal polynomials satisfying interesting differential or difference relations and equations (Laguerre-Hahn theory). The divided difference operator used here is essentially the Askey-Wilson operator $$Df\left( x \right) = \frac{{E_2 f\left( x \right) - E_1 f\left( x \right)}}{{E_2 x - E_1 x}} = \frac{{f\left( {y_2 \left(
openaire +1 more source
Bilateral discrete and continuous orthogonality relations in the $q^{-1}$-symmetric Askey scheme [PDF]
In the $q^{-1}$-symmetric Askey scheme, namely the $q^{-1}$-Askey--Wilson, continuous dual $q^{-1}$-Hahn, $q^{-1}$-Al-Salam--Chihara, continuous big $q^{-1}$-Hermite and continuous $q^{-1}$-Hermite polynomials, we compute bilateral discrete and ...
Cohl, Howard S., Volkmer, Hans
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, 2015 Two sets of infinitely many exceptional orthogonal polynomials related to the Wilson and Askey-Wilson polynomials are presented. They are derived as the eigenfunctions of shape invariant and thus exactly solvable quantum mechanical Hamiltonians.
Sasaki, Ryu, Odake, Satoru
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Product formulas for basic hypergeometric series by evaluations of Askey-Wilson polynomials. [PDF]
Ramanujan JCohl HS, Schlosser MJ.
europepmc +1 more source
Some Orthogonal Very-Well-Poised ...-Functions that Generalize Askey-Wilson Polynomials
, 1997 . In a recent paper Ismail, Masson, and Suslov [16] have established a continuous orthogonality relation and some other properties of a 2 ' 1 -Bessel function on a q-quadratic grid.
Sergei K. Suslov
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Orthogonal polynomials and Askey-Wilson algebra
, 2015 V práci nejprve předneseme základní poznatky z teorie ortogonálních polynomů a reprezentací algeber. Poté na příkladech ukážeme, jak spolu souvisí reprezentace algeber, Leonardovy páry a ortogonální polynomy.
Gromada Daniel
core
On the Mellin transforms of hypergeometric polynomials
, 1999 Mellin integral transform pairs for all hypergeometric orthogonal polynomials in the Askey scheme, ranging from the classical Hermite polynomials up to the four-parameter Wilson polynomials, are systematically ...
Atakishiyev, NM, Atakishiyeva, MK
core
Expansions in the Askey–Wilson Polynomials
Journal of Mathematical Analysis and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mourad Ismail, Dennis Stanton
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