Cover Image

Terminating representations, transformations and summations for the $q$ and $q^{-1}$-symmetric subfamilies of the Askey--Wilson polynomials

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Cohl, Howard S., Costas-Santos, Roberto S., Ge, Linus
Format:	Preprint
Published:	2025
Subjects:	Classical Analysis and ODEs 33D15, 33D45
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The $q$ and $q^{-1}$-symmetric orthogonal polynomials in the $q$-Askey scheme, their dual polynomials and functions, orthogonality, generating functions and relations and nonterminating $q$-Chaundy double product representations
by: Cohl, Howard S., et al.
Published: (2023)

Connection formulas for Askey--Wilson polynomials and related expansions
by: Cohl, Howard S., et al.
Published: (2026)

Product formulas for basic hypergeometric series by evaluations of Askey--Wilson polynomials
by: Cohl, Howard, et al.
Published: (2024)

Bilateral discrete and continuous orthogonality relations in the $q^{-1}$-symmetric Askey scheme
by: Cohl, Howard S., et al.
Published: (2024)

Transformations and summations for bilateral basic hypergeometric series
by: Cohl, Howard S., et al.
Published: (2025)

Bilateral $q$-ultraspherical functions
by: Schlosser, Michael J.
Published: (2025)

Zeros of orthogonal little q-Jacobi polynomials: interlacing and monotonicity
by: Martinez-Finkelshtein, Andrei, et al.
Published: (2025)

Dual addition formulas: the case of continuous $q$-ultraspherical and $q$-Hermite polynomials
by: Koornwinder, Tom H.
Published: (2018)

$q$-Hypergeometric Orthogonal Polynomials with $q=-1$
by: Verde-Star, Luis
Published: (2024)

Additions to the formula lists in "Hypergeometric orthogonal polynomials and their $q$-analogues" by Koekoek, Lesky and Swarttouw
by: Koornwinder, Tom H.
Published: (2014)

Solutions to variant of $q$-hypergeometric equation of degree 2 associated with $q$-middle convolution
by: Arai, Yumi
Published: (2024)

The Laguerre constellation of classical orthogonal Polynomials
by: Costas-Santos, Roberto S.
Published: (2025)

A further q-analogue of Gosper's strange series
by: Campbell, John M., et al.
Published: (2026)

Charting the $q$-Askey scheme. III. Verde-Star scheme for $q=1$
by: Koornwinder, Tom H.
Published: (2023)

A $q$-analogue of Gosper's strange evaluation of the hypergeometric series
by: Yamaguchi, Yuka
Published: (2025)

Asymptotics for some $q$-hypergeometric polynomials
by: Mañas-Mañas, Juan F., et al.
Published: (2025)

Three-Term Recurrence Relations for Confluent Basic Hypergeometric Series with Applications to q-Bessel Functions
by: Yamaguchi, Yuka
Published: (2026)

Non-Symmetric Askey--Wilson Shift Operators
by: van Horssen, Max, et al.
Published: (2024)

Asymptotics, orthogonality relations and duality for the $q$ and $q^{-1}$-symmetric polynomials in the $q$-Askey scheme
by: Cohl, Howard S., et al.
Published: (2024)

Hypergeometric solutions for variants of the $q$-hypergeometric equation
by: Fujii, Taikei, et al.
Published: (2022)

A short survey of duality in special functions
by: Koornwinder, Tom H.
Published: (2021)

On the classification of hypergeometric families of orthogonal polynomials on the real line
by: Bernstein, Joseph, et al.
Published: (2024)

Approximation of Askey-Wilson roots
by: van Diejen, Jan Felipe, et al.
Published: (2025)

Well-poised basic q-Taylor expansions with complementary remainders and a two-basis kernel
by: Abdulsalam, Abdulhafeez A., et al.
Published: (2026)

Automorphisms of the DAHA of type $\check{C_1}C_1$ and non-symmetric Askey-Wilson functions
by: Koornwinder, Tom H., et al.
Published: (2024)

Special Solutions of $q$-Heun Equation by $q$-Integral Transformations
by: Murakami, Ayaka, et al.
Published: (2026)

Jackson integral representation for a multiple $q$-hypergeometric series and an extension of the $q$-Riemann-Papperitz system
by: Nobukawa, Takahiko
Published: (2024)

On the generalized interlacing property for the zeros of Bessel functions
by: Chung, Seok-Young, et al.
Published: (2023)

An elementary approach to non-symmetric shift operators and their q-analogs
by: van Horssen, Max, et al.
Published: (2026)

Bailey pairs, radial limits of $q$-hypergeometric false theta functions, and a conjecture of Hikami
by: Lovejoy, Jeremy, et al.
Published: (2024)

Reformulation of $q$-Middle Convolution and Applications
by: Arai, Yumi, et al.
Published: (2025)

Eigenvalue equations for sieved polynomials or proving Askey right again
by: Vinet, Luc, et al.
Published: (2025)

The $q$-Laplace Transforms compared: the basic confluent hypergeometric function ${}_2ϕ_0$
by: Meikle, Daniel, et al.
Published: (2025)

Basic hypergeometric identities derived from three-term relations
by: Yamaguchi, Yuka
Published: (2025)

On Polar Jacobi Polynomials
by: Costas-Santos, Roberto S.
Published: (2024)

Integral representation for a product of two Jacobi functions of the second kind
by: Cohl, Howard S., et al.
Published: (2025)

On ${}_5ψ_5$ identities of Bailey
by: Dhar, Aritram
Published: (2023)

A bibasic double sum extension of a $q$-binomial theorem arising out of subspace enumeration
by: Bhatnagar, Gaurav, et al.
Published: (2026)

Sharp Hardy's Inequalities in Hilbert Spaces
by: Dimitrov, Dimitar K., et al.
Published: (2023)

Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee
by: Kanade, Shashank, et al.
Published: (2024)