Connection Problem for an Extension of -Hypergeometric Systems
We give an example of solutions of the connection problem associated with a certain system of linear -difference equations recently introduced by Park. The result contains a connection formula of the -Lauricella hypergeometric function D and those of the -generalized hypergeometric function N₊₁N as...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2022 |
| Main Author: | Nobukawa, Takahiko |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2022
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211824 |
| 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: | Connection Problem for an Extension of -Hypergeometric Systems. Takahiko Nobukawa. SIGMA 18 (2022), 080, 21 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of UkraineSimilar Items
A Connection Formula for the q-Confluent Hypergeometric Function
by: Morita, T.
Published: (2013)
by: Morita, T.
Published: (2013)
Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions
by: van de Bult, F.J., et al.
Published: (2009)
by: van de Bult, F.J., et al.
Published: (2009)
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)
On the Monodromy Invariant Hermitian Form for -Hypergeometric Systems
by: Verschoor, Carlo
Published: (2022)
by: Verschoor, Carlo
Published: (2022)
-Hypergeometric Orthogonal Polynomials with = −1
by: Verde-Star, Luis
Published: (2025)
by: Verde-Star, Luis
Published: (2025)
On -Middle Convolution and -Hypergeometric Equations
by: Arai, Yumi, et al.
Published: (2023)
by: Arai, Yumi, et al.
Published: (2023)
Symmetry Groups of An Hypergeometric Series
by: Kajihara, Y.
Published: (2014)
by: Kajihara, Y.
Published: (2014)
Factorization of Basic Hypergeometric Series
by: Bradley-Thrush, Jonathan G.
Published: (2025)
by: Bradley-Thrush, Jonathan G.
Published: (2025)
Hypergeometric τ-Functions of the q-Painlevé System of Type E₇⁽¹⁾
by: Masuda, T.
Published: (2009)
by: Masuda, T.
Published: (2009)
Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems
by: Rosengren, Hjalmar, et al.
Published: (2020)
by: Rosengren, Hjalmar, et al.
Published: (2020)
Orthogonal Basic Hypergeometric Laurent Polynomials
by: Mourad E.H. Ismail, et al.
Published: (2012)
by: Mourad E.H. Ismail, et al.
Published: (2012)
On transformation formulas for theta hypergeometric functions
by: Denis, R.Y., et al.
Published: (2012)
by: Denis, R.Y., et al.
Published: (2012)
On transformation formulae for theta hypergeometric functions
by: Denis, R. Y., et al.
Published: (2012)
by: Denis, R. Y., et al.
Published: (2012)
Hypergeometric τ Functions of the q-Painlevé Systems of Type (A₂+A₁)⁽¹⁾
by: Nakazono, N.
Published: (2010)
by: Nakazono, N.
Published: (2010)
On the orthogonality of partial sums of the generalized hypergeometric series
by: S. M. Zahorodniuk
Published: (2022)
by: S. M. Zahorodniuk
Published: (2022)
Mapping properties for convolution involving hypergeometric series
by: M. K. Aouf, et al.
Published: (2018)
by: M. K. Aouf, et al.
Published: (2018)
An Elliptic Hypergeometric Function Approach to Branching Rules
by: Lee, Chul-hee, et al.
Published: (2020)
by: Lee, Chul-hee, et al.
Published: (2020)
Polynomial Sequences Associated with the Moments of Hypergeometric Weights
by: Dominici, D.
Published: (2016)
by: Dominici, D.
Published: (2016)
Gustafson-Rakha-Type Elliptic Hypergeometric Series
by: Rosengren, H.
Published: (2017)
by: Rosengren, H.
Published: (2017)
Macdonald Polynomials and Multivariable Basic Hypergeometric Series
by: Schlosser, M.J.
Published: (2007)
by: Schlosser, M.J.
Published: (2007)
Even Hypergeometric Polynomials and Finite Free Commutators
by: Campbell, Jacob, et al.
Published: (2025)
by: Campbell, Jacob, et al.
Published: (2025)
Elliptic Hypergeometric Solutions to Elliptic Difference Equations
by: Magnus, A.P.
Published: (2009)
by: Magnus, A.P.
Published: (2009)
Hypergeometric Orthogonal Polynomials with respect to Newtonian Bases
by: Vinet, L., et al.
Published: (2016)
by: Vinet, L., et al.
Published: (2016)
Mapping properties for convolution involving
hypergeometric series
by: Aouf, M. K., et al.
Published: (2018)
by: Aouf, M. K., et al.
Published: (2018)
New Integral Representations for a Hypergeometric Function
by: Volchkov, V. V., et al.
Published: (2001)
by: Volchkov, V. V., et al.
Published: (2001)
On the orthogonality of partial sums of the generalized hypergeometric series
by: Zagorodnyuk, S. M., et al.
Published: (2022)
by: Zagorodnyuk, S. M., et al.
Published: (2022)
Hypergeometric τ Functions of the q-Painlevé Systems of Types A⁽¹⁾₄ and (A₁+A′₁)⁽¹⁾
by: Nakazono, N.
Published: (2016)
by: Nakazono, N.
Published: (2016)
Superintegrable Extensions of Superintegrable Systems
by: Chanu, C.M., et al.
Published: (2012)
by: Chanu, C.M., et al.
Published: (2012)
Integral representations for the hypergeometric function F8(4)
by: A. N. Novitskaja
Published: (2014)
by: A. N. Novitskaja
Published: (2014)
Evaluation of Certain Hypergeometric Functions over Finite Fields
by: Tu, F.-T., et al.
Published: (2018)
by: Tu, F.-T., et al.
Published: (2018)
Barnes-Ismagilov Integrals and Hypergeometric Functions of the Complex Field
by: Neretin, Yury A.
Published: (2020)
by: Neretin, Yury A.
Published: (2020)
From Conformal Group to Symmetries of Hypergeometric Type Equations
by: Dereziński, J., et al.
Published: (2016)
by: Dereziński, J., et al.
Published: (2016)
Gauss Hypergeometric Representations of the Ferrers Function of the Second Kind
by: Cohl, Howard S., et al.
Published: (2021)
by: Cohl, Howard S., et al.
Published: (2021)
Discrete Orthogonal Polynomials with Hypergeometric Weights and Painlevé VI
by: Filipuk, G., et al.
Published: (2018)
by: Filipuk, G., et al.
Published: (2018)
Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation
by: Schlosser, M.J., et al.
Published: (2016)
by: Schlosser, M.J., et al.
Published: (2016)
The problem of extension for two-parameter kernels
by: Lavrent'ev, A. S., et al.
Published: (1997)
by: Lavrent'ev, A. S., et al.
Published: (1997)
Adiabatic Limit, Theta Function, and Geometric Quantization
by: Yoshida, Takahiko
Published: (2024)
by: Yoshida, Takahiko
Published: (2024)
A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function n+1Fn
by: Suzuki, T.
Published: (2010)
by: Suzuki, T.
Published: (2010)
A Hypergeometric Version of the Modularity of Rigid Calabi-Yau Manifolds
by: Zudilin, W.
Published: (2018)
by: Zudilin, W.
Published: (2018)
Hypergeometric Solutions of the A₄⁽¹⁾-Surface q-Painlevé IV Equation
by: Nakazono, N.
Published: (2014)
by: Nakazono, N.
Published: (2014)
Similar Items
-
A Connection Formula for the q-Confluent Hypergeometric Function
by: Morita, T.
Published: (2013) -
Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions
by: van de Bult, F.J., et al.
Published: (2009) -
Quasi-Orthogonality of Some Hypergeometric and q-Hypergeometric Polynomials
by: Tcheutia, D.D., et al.
Published: (2018) -
On the Monodromy Invariant Hermitian Form for -Hypergeometric Systems
by: Verschoor, Carlo
Published: (2022) -
-Hypergeometric Orthogonal Polynomials with = −1
by: Verde-Star, Luis
Published: (2025)