A Classical Limit of Noumi's q-Integral Operator

被引：2

作者：

Borodin, Alexei ^{[1
]}

Corwin, Ivan ^{[2
,3
,4
]}

Remenik, Daniel ^{[5
,6
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

[2] Columbia Univ, Dept Math, New York, NY 10027 USA

[3] Clay Math Inst, Providence, RI 02903 USA

[4] Inst Poincare, F-75005 Paris, France

[5] Univ Chile, Dept Ingn Matemat, Santiago, Chile

[6] Univ Chile, Ctr Modelamiento Matemat, Santiago, Chile

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2015年 / 11卷

关键词：

Macdonald polynomials; Whittaker functions;

D O I：

10.3842/SIGMA.2015.098

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We demonstrate how a known Whittaker function integral identity arises from the t = 0 and q -> 1 limit of the Macdonald polynomial eigenrelation satisfied by Noumi's q-integral operator.

引用

页数：7

共 50 条

[21] On Nash and Carlson’s Inequalities for Symmetric q-Integral Transforms
Manel Hleili
Kamel Brahim
Complex Analysis and Operator Theory, 2016, 10 : 1339 - 1350
[22] Applications of a certain q-integral operator to the subclasses of analytic and bi-univalent functions
Khan, Bilal
Srivastava, H. M.
Tahir, Muhammad
Darus, Maslina
Ahmad, Qazi Zahoor
Khan, Nazar
AIMS MATHEMATICS, 2021, 6 (01): : 1024 - 1039
[23] Applications of a q-Integral Operator to a Certain Class of Analytic Functions Associated with a Symmetric Domain
Ahmad, Adeel
Louati, Hanen
Rasheed, Akhter
Ali, Asad
Hussain, Saqib
Hilali, Shreefa O.
Al-Rezami, Afrah Y.
SYMMETRY-BASEL, 2024, 16 (11):
[24] ERRATUM, SEVERAL q-INTEGRAL INEQUALITIES
Krasniqi, Valmir
JOURNAL OF MATHEMATICAL INEQUALITIES, 2011, 5 (03): : 451 - 451
[25] An inequality for q-integral and its applications
Mingjin Wang
Journal of Inequalities and Applications, 2014
[26] SOME RESULTS ON Q-INTEGRAL GRAPHS
Stanic, Zoran
ARS COMBINATORIA, 2009, 90 : 321 - 335
[27] Infinite families of Q-integral graphs
de Freitas, Maria Aguieiras A.
de Abreu, Nair M. M.
Del-Vecchio, Renata R.
Jurkiewicz, Samuel
LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (09) : 2352 - 2360
[28] Some convergence theorems for the q-integral
Wang, Mingjin
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2013, 82 (02): : 399 - 406
[29] CERTAIN NEW GRUSS TYPE INEQUALITIES INVOLVING SAIGO FRACTIONAL q-INTEGRAL OPERATOR
Wang, Guotao
Agarwal, Praveen
Baleanu, Dumitru
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 19 (05) : 862 - 873
[30] Some results on a fractional q-integral operator involving generalized basic hypergeometric function
Galue, Leda
REVISTA TECNICA DE LA FACULTAD DE INGENIERIA UNIVERSIDAD DEL ZULIA, 2012, 35 (03): : 302 - 310

← 1 2 3 4 5 →