A Characterization of the Macdonald Hypergeometric Series ${}_rΦ_s(x;q,t)$ and ${}_rΦ_s(x,y;q,t)$ via $q$-Difference Equations
Fuente:
arXiv
Guardado en:
| Autor principal: | Chen, Hong |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
Ejemplares similares
A Characterization of Macdonald's Jack Hypergeometric Series ${}_pF_q(x;α)$ and ${}_pF_q(x,y;α)$ via Differential Equations
por: Chen, Hong, et al.
Publicado: (2025)
por: Chen, Hong, et al.
Publicado: (2025)
Special Solutions of $q$-Heun Equation by $q$-Integral Transformations
por: Murakami, Ayaka, et al.
Publicado: (2026)
por: Murakami, Ayaka, et al.
Publicado: (2026)
Unique special solution for discrete Painlevé II
por: Van Assche, Walter
Publicado: (2023)
por: Van Assche, Walter
Publicado: (2023)
Hypergeometric solutions for variants of the $q$-hypergeometric equation
por: Fujii, Taikei, et al.
Publicado: (2022)
por: Fujii, Taikei, et al.
Publicado: (2022)
Multiple q-Kravchuk polynomials
por: Arvesú, J., et al.
Publicado: (2024)
por: Arvesú, J., et al.
Publicado: (2024)
Reformulation of $q$-Middle Convolution and Applications
por: Arai, Yumi, et al.
Publicado: (2025)
por: Arai, Yumi, et al.
Publicado: (2025)
Arithmetic Constraints on Hypergeometric Identities
por: Iwasaki, Katsunori, et al.
Publicado: (2026)
por: Iwasaki, Katsunori, et al.
Publicado: (2026)
Bilateral discrete and continuous orthogonality relations in the $q^{-1}$-symmetric Askey scheme
por: Cohl, Howard S., et al.
Publicado: (2024)
por: Cohl, Howard S., et al.
Publicado: (2024)
On extension of the $_{r}R_{s,q}(α,β,z)$ function and their $q$-calculus
por: Shehata, Ayman, et al.
Publicado: (2021)
por: Shehata, Ayman, et al.
Publicado: (2021)
A positivity conjecture for a quotient of $q$-binomial coefficients
por: Gatzweiler, Mona, et al.
Publicado: (2025)
por: Gatzweiler, Mona, et al.
Publicado: (2025)
Hyperasymptotics for linear difference equations with an irregular singularity of rank one: Polynomial coefficients
por: Nemes, Gergő
Publicado: (2025)
por: Nemes, Gergő
Publicado: (2025)
$q$-Hypergeometric Orthogonal Polynomials with $q=-1$
por: Verde-Star, Luis
Publicado: (2024)
por: Verde-Star, Luis
Publicado: (2024)
Explicit Expressions for Iterates of Power Series
por: Beauduin, Kei
Publicado: (2024)
por: Beauduin, Kei
Publicado: (2024)
Jackson integral representation for a multiple $q$-hypergeometric series and an extension of the $q$-Riemann-Papperitz system
por: Nobukawa, Takahiko
Publicado: (2024)
por: Nobukawa, Takahiko
Publicado: (2024)
A family of orthogonal functions on the unit circle and a new multilateral matrix inverse
por: Schlosser, Michael J.
Publicado: (2024)
por: Schlosser, Michael J.
Publicado: (2024)
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
por: Cohl, Howard S., et al.
Publicado: (2023)
por: Cohl, Howard S., et al.
Publicado: (2023)
A Ramanujan's hypergeometric transformation formula, its validity range and implications
por: Shpot, M. A.
Publicado: (2024)
por: Shpot, M. A.
Publicado: (2024)
Degenerations of $q$-Heun equation
por: Sato, Chihiro, et al.
Publicado: (2025)
por: Sato, Chihiro, et al.
Publicado: (2025)
Random Fibonacci Words via Clone Schur Functions
por: Petrov, Leonid, et al.
Publicado: (2024)
por: Petrov, Leonid, et al.
Publicado: (2024)
A way to treat dual Hahn polynomials as Racah polynomials via the theory of Leonard pairs
por: Huang, Hau-Wen
Publicado: (2025)
por: Huang, Hau-Wen
Publicado: (2025)
A note on the multivariate symmetric Hermite Interpolant
por: Krick, Teresa, et al.
Publicado: (2025)
por: Krick, Teresa, et al.
Publicado: (2025)
On some Analytic Inequalities for Gauss Hypergeometric Functions via Gruss Discrete Inequality
por: Raissouli, Mustapha, et al.
Publicado: (2024)
por: Raissouli, Mustapha, et al.
Publicado: (2024)
Zeros of orthogonal little q-Jacobi polynomials: interlacing and monotonicity
por: Martinez-Finkelshtein, Andrei, et al.
Publicado: (2025)
por: Martinez-Finkelshtein, Andrei, et al.
Publicado: (2025)
Sharp Poincare-Wirtinger inequalities on complete graphs
por: González-Riquelme, Cristian, et al.
Publicado: (2024)
por: González-Riquelme, Cristian, et al.
Publicado: (2024)
Error bounds for a uniform asymptotic approximation of the zeros of the Bessel function $J_ν(x)$
por: Dunster, T. M.
Publicado: (2024)
por: Dunster, T. M.
Publicado: (2024)
The $q$-Laplace Transforms compared: the basic confluent hypergeometric function ${}_2ϕ_0$
por: Meikle, Daniel, et al.
Publicado: (2025)
por: Meikle, Daniel, et al.
Publicado: (2025)
Necessary and Sufficient Conditions for Absolute Monotonicity of Functions Related to Gaussian Hypergeometric Functions
por: Zhao, Tiehong
Publicado: (2025)
por: Zhao, Tiehong
Publicado: (2025)
Kernel Function, $q$-Integral Transformation and $q$-Heun Equations
por: Takemura, Kouichi
Publicado: (2023)
por: Takemura, Kouichi
Publicado: (2023)
Discrete Generating Series and Linear Difference Equations
por: Alekseev, Vitaly, et al.
Publicado: (2025)
por: Alekseev, Vitaly, et al.
Publicado: (2025)
Berndt-type Integrals: Unveiling Connections with Barnes Zeta and Jacobi Elliptic Functions
por: Bradshaw, Zachary P., et al.
Publicado: (2024)
por: Bradshaw, Zachary P., et al.
Publicado: (2024)
The construction of $q$-analogues via $_3ϕ_2$-series and $q$-difference equations
por: Campbell, John M.
Publicado: (2026)
por: Campbell, John M.
Publicado: (2026)
Factorization of Basic Hypergeometric Series
por: Bradley-Thrush, Jonathan G.
Publicado: (2025)
por: Bradley-Thrush, Jonathan G.
Publicado: (2025)
An inequality generalizing $AM \geq GM$ and $AM \geq HM$
por: Mukherjee, Himadri
Publicado: (2022)
por: Mukherjee, Himadri
Publicado: (2022)
Additions to the formula lists in "Hypergeometric orthogonal polynomials and their $q$-analogues" by Koekoek, Lesky and Swarttouw
por: Koornwinder, Tom H.
Publicado: (2014)
por: Koornwinder, Tom H.
Publicado: (2014)
Combinatorics of generalized orthogonal polynomials of type $R_{II}$
por: Kim, Jang Soo, et al.
Publicado: (2024)
por: Kim, Jang Soo, et al.
Publicado: (2024)
A bibasic double sum extension of a $q$-binomial theorem arising out of subspace enumeration
por: Bhatnagar, Gaurav, et al.
Publicado: (2026)
por: Bhatnagar, Gaurav, et al.
Publicado: (2026)
A Tribute to Richard Askey, and an Expansive View of Some of his Favorite Beta Integrals
por: Richards, Donald
Publicado: (2025)
por: Richards, Donald
Publicado: (2025)
On a $_2F_1\big(\frac{1}{4}\big)$-identity due to Gosper
por: Hakimoglu-Brown, Cetin
Publicado: (2026)
por: Hakimoglu-Brown, Cetin
Publicado: (2026)
Exponentially-improved asymptotics for $q$-difference equations: ${}_2ϕ_0$ and $q{\rm P}_{\rm I}$
por: Joshi, Nalini, et al.
Publicado: (2024)
por: Joshi, Nalini, et al.
Publicado: (2024)
Charting the $q$-Askey scheme. III. Verde-Star scheme for $q=1$
por: Koornwinder, Tom H.
Publicado: (2023)
por: Koornwinder, Tom H.
Publicado: (2023)
Ejemplares similares
-
A Characterization of Macdonald's Jack Hypergeometric Series ${}_pF_q(x;α)$ and ${}_pF_q(x,y;α)$ via Differential Equations
por: Chen, Hong, et al.
Publicado: (2025) -
Special Solutions of $q$-Heun Equation by $q$-Integral Transformations
por: Murakami, Ayaka, et al.
Publicado: (2026) -
Unique special solution for discrete Painlevé II
por: Van Assche, Walter
Publicado: (2023) -
Hypergeometric solutions for variants of the $q$-hypergeometric equation
por: Fujii, Taikei, et al.
Publicado: (2022) -
Multiple q-Kravchuk polynomials
por: Arvesú, J., et al.
Publicado: (2024)