Orthogonality Relations for Multivariate Krawtchouk Polynomials
The orthogonality relations of multivariate Krawtchouk polynomials are discussed. In case of two variables, the necessary and sufficient conditions of orthogonality is given by Grünbaum and Rahman in [SIGMA 6 (2010), 090, 12 pages]. In this study, a simple proof of the necessary and sufficient condi...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2011 |
| ISSN: | 1815-0659 |
| Main Author: | Mizukawa, H. |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2011
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146790 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Orthogonality Relations for Multivariate Krawtchouk Polynomials / H. Mizukawa // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 4 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of UkraineSimilar Items
On a Family of 2-Variable Orthogonal Krawtchouk Polynomials
by: Grünbaum, F.A., et al.
Published: (2010)
by: Grünbaum, F.A., et al.
Published: (2010)
A System of Multivariable Krawtchouk Polynomials and a Probabilistic Application
by: Grünbaum, F.A., et al.
Published: (2011)
by: Grünbaum, F.A., et al.
Published: (2011)
Multivariate Orthogonal Polynomials and Modified Moment Functionals
by: Delgado, A.M., et al.
Published: (2016)
by: Delgado, A.M., et al.
Published: (2016)
Tight Frame with Hahn and Krawtchouk Polynomials of Several Variables
by: Xu, Y.
Published: (2014)
by: Xu, Y.
Published: (2014)
Systems of complex variable polynomials related to classical systems of orthogonal polynomials
by: M. A. Sukhorolskyi, et al.
Published: (2021)
by: M. A. Sukhorolskyi, et al.
Published: (2021)
Dual Polar Graphs, a nil-DAHA of Rank One, and Non-Symmetric Dual q-Krawtchouk Polynomials
by: Lee, J.-H., et al.
Published: (2018)
by: Lee, J.-H., et al.
Published: (2018)
Orthogonal polynomials related to some Jacobi-type pencils
by: S. M. Zagorodnjuk
Published: (2016)
by: S. M. Zagorodnjuk
Published: (2016)
On Orthogonality Relations for Dual Discrete q-Ultraspherical Polynomials
by: Groza, V.A., et al.
Published: (2006)
by: Groza, V.A., et al.
Published: (2006)
Planar Orthogonal Polynomials as Type I Multiple Orthogonal Polynomials
by: Berezin, Sergey, et al.
Published: (2023)
by: Berezin, Sergey, et al.
Published: (2023)
The Clebsch-Gordan Rule for (₂), the Krawtchouk Algebras and the Hamming Graphs
by: Huang, Hau-Wen
Published: (2023)
by: Huang, Hau-Wen
Published: (2023)
d-Orthogonal Analogs of Classical Orthogonal Polynomials
by: Horozov, E.
Published: (2018)
by: Horozov, E.
Published: (2018)
Classes of Bivariate Orthogonal Polynomials
by: Ismail, M.E.H., et al.
Published: (2016)
by: Ismail, M.E.H., et al.
Published: (2016)
Orthogonal Polynomials on Rays: Properties of Zeros, Related Moment Problems and Symmetries
by: Zagorodnyuk, S.M.
Published: (2008)
by: Zagorodnyuk, S.M.
Published: (2008)
Structure Relations of Classical Orthogonal Polynomials in the Quadratic and q-Quadratic Variable
by: Kenfack Nangho, M., et al.
Published: (2018)
by: Kenfack Nangho, M., et al.
Published: (2018)
Orthogonal Basic Hypergeometric Laurent Polynomials
by: Mourad E.H. Ismail, et al.
Published: (2012)
by: Mourad E.H. Ismail, et al.
Published: (2012)
-Hypergeometric Orthogonal Polynomials with = −1
by: Verde-Star, Luis
Published: (2025)
by: Verde-Star, Luis
Published: (2025)
Macdonald Polynomials and Multivariable Basic Hypergeometric Series
by: Schlosser, M.J.
Published: (2007)
by: Schlosser, M.J.
Published: (2007)
On series of orthogonal polynomials and systems of classical type polynomials
by: S. M. Zahorodniuk
Published: (2021)
by: S. M. Zahorodniuk
Published: (2021)
On the Orthogonality of q-Classical Polynomials of the Hahn Class
by: Álvarez-Nodarse, R., et al.
Published: (2012)
by: Álvarez-Nodarse, R., et al.
Published: (2012)
Resonant equations and classical orthogonal polynomials
by: I. P. Havryliuk, et al.
Published: (2018)
by: I. P. Havryliuk, et al.
Published: (2018)
Zeros of Quasi-Orthogonal Jacobi Polynomials
by: Driver, K., et al.
Published: (2016)
by: Driver, K., et al.
Published: (2016)
Some Orthogonal Polynomials in Four Variables
by: Dunkl, C.F.
Published: (2008)
by: Dunkl, C.F.
Published: (2008)
Determinantal Formulas for Exceptional Orthogonal Polynomials
by: Simanek, Brian
Published: (2022)
by: Simanek, Brian
Published: (2022)
On Certain Wronskians of Multiple Orthogonal Polynomials
by: Zhang, L., et al.
Published: (2014)
by: Zhang, L., et al.
Published: (2014)
On the q-Charlier Multiple Orthogonal Polynomials
by: Arvesú, J., et al.
Published: (2015)
by: Arvesú, J., et al.
Published: (2015)
Multivariable Christoffel-Darboux kernels and characteristic polynomials of random hermitian matrices
by: Rosengren, H.
Published: (2006)
by: Rosengren, H.
Published: (2006)
Generalized Burchnall-Type Identities for Orthogonal Polynomials and Expansions
by: Ismail, M.E.H., et al.
Published: (2018)
by: Ismail, M.E.H., et al.
Published: (2018)
Resonant equations with classical orthogonal polynomials. I
by: I. Gavrilyuk, et al.
Published: (2019)
by: I. Gavrilyuk, et al.
Published: (2019)
Resonant equations with classical orthogonal polynomials. II
by: I. Gavrilyuk, et al.
Published: (2019)
by: I. Gavrilyuk, et al.
Published: (2019)
Orthogonal Polynomials Associated with Complementary Chain Sequences
by: Behera, K.K., et al.
Published: (2016)
by: Behera, K.K., et al.
Published: (2016)
Hypergeometric Orthogonal Polynomials with respect to Newtonian Bases
by: Vinet, L., et al.
Published: (2016)
by: Vinet, L., et al.
Published: (2016)
On time dependent orthogonal polynomials on the unit circle
by: Ben-Artzi, A., et al.
Published: (1994)
by: Ben-Artzi, A., et al.
Published: (1994)
Higher-order differential equations with polynomial solutions associated with classical orthogonal polynomials
by: V. L. Makarov
Published: (2020)
by: V. L. Makarov
Published: (2020)
An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials
by: Ghressi, A., et al.
Published: (2011)
by: Ghressi, A., et al.
Published: (2011)
Investigating the wavelet orthogonality conditions based on Jacobi polynomials
by: Ju. Semenov, et al.
Published: (2018)
by: Ju. Semenov, et al.
Published: (2018)
Orthogonality Measure on the Torus for Vector-Valued Jack Polynomials
by: Dunkl, C.F.
Published: (2016)
by: Dunkl, C.F.
Published: (2016)
Automorphisms of Algebras and Bochner's Property for Vector Orthogonal Polynomials
by: Horozov, E.
Published: (2016)
by: Horozov, E.
Published: (2016)
Quasi-Orthogonality of Some Hypergeometric and q-Hypergeometric Polynomials
by: Tcheutia, D.D., et al.
Published: (2018)
by: Tcheutia, D.D., et al.
Published: (2018)
Asymptotics of Polynomials Orthogonal with respect to a Logarithmic Weight
by: Conway, T.O., et al.
Published: (2018)
by: Conway, T.O., et al.
Published: (2018)
Discrete Orthogonal Polynomials with Hypergeometric Weights and Painlevé VI
by: Filipuk, G., et al.
Published: (2018)
by: Filipuk, G., et al.
Published: (2018)
Similar Items
-
On a Family of 2-Variable Orthogonal Krawtchouk Polynomials
by: Grünbaum, F.A., et al.
Published: (2010) -
A System of Multivariable Krawtchouk Polynomials and a Probabilistic Application
by: Grünbaum, F.A., et al.
Published: (2011) -
Multivariate Orthogonal Polynomials and Modified Moment Functionals
by: Delgado, A.M., et al.
Published: (2016) -
Tight Frame with Hahn and Krawtchouk Polynomials of Several Variables
by: Xu, Y.
Published: (2014) -
Systems of complex variable polynomials related to classical systems of orthogonal polynomials
by: M. A. Sukhorolskyi, et al.
Published: (2021)