Supplement to the article by Douak and Maroni (2020) on a new class of 2-orthogonal polynomials
UDC 510 We consider some issues related to the 2-orthogonal polynomials (2-OP). The answers to these issues can be regarded a supplement to the article [K. Douak, P. Maroni, On a new class of 2-orthogonal polynomials, I: The recurrence relations and some properties, Integral Transform and Spec...
Saved in:
| Date: | 2025 |
|---|---|
| Main Authors: | Makarov, V., Makarov, V. L., Макаров, Володимир |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2025
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8898 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Classes of Bivariate Orthogonal Polynomials
by: Ismail, M.E.H., et al.
Published: (2016)
by: Ismail, M.E.H., et al.
Published: (2016)
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)
Higher-order differential equations with polynomial solutions associated with classical orthogonal polynomials
by: V. L. Makarov
Published: (2020)
by: V. L. Makarov
Published: (2020)
Resonant equations with classical orthogonal polynomials. II
by: Gavrilyuk, I. P., et al.
Published: (2019)
by: Gavrilyuk, I. P., et al.
Published: (2019)
Resonant equations with classical orthogonal polynomials. I
by: Gavrilyuk, I. P., et al.
Published: (2019)
by: Gavrilyuk, I. P., et al.
Published: (2019)
Resonant equations and classical orthogonal polynomials
by: I. P. Havryliuk, et al.
Published: (2018)
by: I. P. Havryliuk, et al.
Published: (2018)
On one class of orthogonal multivariate polynomials
by: Demenіn, A. N., et al.
Published: (1971)
by: Demenіn, A. N., et al.
Published: (1971)
Laguerre–Cayley functions and related polynomials
by: Makarov, V., et al.
Published: (2024)
by: Makarov, V., et al.
Published: (2024)
Biorthogonal polynomials and their properties. Direct and inverse statements
by: Makarov, V., et al.
Published: (2026)
by: Makarov, V., et al.
Published: (2026)
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)
Essays on the spectral properties of the polynomially perturbed Hermite operator
by: Makarov, V., et al.
Published: (2024)
by: Makarov, V., et al.
Published: (2024)
The Symmetrical Hq-Semiclassical Orthogonal Polynomials of Class One
by: Ghressi, A., et al.
Published: (2009)
by: Ghressi, A., et al.
Published: (2009)
A new approach to the construction of generalized classical polynomials
by: Makarov, V. L., et al.
Published: (2021)
by: Makarov, V. L., et al.
Published: (2021)
Planar Orthogonal Polynomials as Type I Multiple Orthogonal Polynomials
by: Berezin, Sergey, et al.
Published: (2023)
by: Berezin, Sergey, et al.
Published: (2023)
d-Orthogonal Analogs of Classical Orthogonal Polynomials
by: Horozov, E.
Published: (2018)
by: Horozov, E.
Published: (2018)
Orthogonal Kravchuk’s polynomials
by: Prizva , G. I., et al.
Published: (1992)
by: Prizva , G. I., et al.
Published: (1992)
A survey of the theory of operator polynomial interpolation
by: Makarov, V., et al.
Published: (2026)
by: Makarov, V., et al.
Published: (2026)
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)
-Hypergeometric Orthogonal Polynomials with = −1
by: Verde-Star, Luis
Published: (2025)
by: Verde-Star, Luis
Published: (2025)
A new approach to the construction of generalized classical polynomials
by: V. L. Makarov
Published: (2021)
by: V. L. Makarov
Published: (2021)
On series of orthogonal polynomials and systems of classical type polynomials
by: S. M. Zahorodniuk
Published: (2021)
by: S. M. Zahorodniuk
Published: (2021)
On series of orthogonal polynomials and systems of classical type polynomials
by: Zagorodnyuk, S. M., et al.
Published: (2021)
by: Zagorodnyuk, S. M., et al.
Published: (2021)
A remark about orthogonal polynomials
by: Livinskii, V. O., et al.
Published: (1994)
by: Livinskii, V. O., et al.
Published: (1994)
Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials
by: Grandati, Y., et al.
Published: (2015)
by: Grandati, Y., et al.
Published: (2015)
Approximation of classes of functions of many variables by their orthogonal projections onto subspaces of trigonometric polynomials
by: Romanyuk, A. S., et al.
Published: (1996)
by: Romanyuk, A. S., et al.
Published: (1996)
Some Orthogonal Polynomials in Four Variables
by: Dunkl, C.F.
Published: (2008)
by: Dunkl, C.F.
Published: (2008)
Orthogonality Relations for Multivariate Krawtchouk Polynomials
by: Mizukawa, H.
Published: (2011)
by: Mizukawa, H.
Published: (2011)
Zeros of Quasi-Orthogonal Jacobi Polynomials
by: Driver, K., et al.
Published: (2016)
by: Driver, K., et al.
Published: (2016)
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)
Orthogonal Basic Hypergeometric Laurent Polynomials
by: Mourad E.H. Ismail, et al.
Published: (2012)
by: Mourad E.H. Ismail, et al.
Published: (2012)
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)
Systems of complex variable polynomials related to classical systems of orthogonal polynomials
by: Sukhorolsky , M. A., et al.
Published: (2021)
by: Sukhorolsky , M. A., et al.
Published: (2021)
Laguerre–Cayley functions and related polynomials
by: V. Makarov, et al.
Published: (2024)
by: V. Makarov, et al.
Published: (2024)
Orthogonal Polynomials Associated with Complementary Chain Sequences
by: Behera, K.K., et al.
Published: (2016)
by: Behera, K.K., et al.
Published: (2016)
Multivariate Orthogonal Polynomials and Modified Moment Functionals
by: Delgado, A.M., et al.
Published: (2016)
by: Delgado, A.M., 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)
Lagerra–Kelly functions and related polynomials
by: V. L. Makarov, et al.
Published: (2022)
by: V. L. Makarov, et al.
Published: (2022)
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)
Similar Items
-
Classes of Bivariate Orthogonal Polynomials
by: Ismail, M.E.H., et al.
Published: (2016) -
Resonant equations with classical orthogonal polynomials. I
by: I. Gavrilyuk, et al.
Published: (2019) -
Resonant equations with classical orthogonal polynomials. II
by: I. Gavrilyuk, et al.
Published: (2019) -
Higher-order differential equations with polynomial solutions associated with classical orthogonal polynomials
by: V. L. Makarov
Published: (2020) -
Resonant equations with classical orthogonal polynomials. II
by: Gavrilyuk, I. P., et al.
Published: (2019)