THE BRENKE TYPE GENERATING FUNCTIONS AND EXPLICIT FORMS OF MRM-TRIPLES BY MEANS OF Q-HYPERGEOMETRIC SERIES

Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo

Type: Article

Publication Date: 2013-06-01

Citations: 5

DOI: https://doi.org/10.1142/s0219025713500100

View Publication

Locations

Infinite Dimensional Analysis Quantum Probability and Related Topics - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	A Note on Horadam Hybrinomials	2021	Can Kızılateş
+	Some Families of Multilinear q-Generating Functions and Combinatorial q-Series Identities	1995	V. K. Jain H. M. Srivastava
+ PDF Chat	Generalized q-Difference Equations for q-Hypergeometric Polynomials with Double q-Binomial Coefficients	2022	Jian Cao H. M. Srivastava Hong-Li Zhou Sama Arjika
+ PDF Chat	Generating functions for some families of the generalized Al-Salam–Carlitz q-polynomials	2020	H. M. Srivastava Sama Arjika
+ PDF Chat	Some Srivastava-Brafman Type Generating Relations For A General Class Of Multi-Index And Multi-Variable Gould-Hopper And Dattoli Type Hypergeometric Polynomials	2014	M. I. Qureshi Kaleem A. Quraishi Ram Pal
+ PDF Chat	A General Family of q-Hypergeometric Polynomials and Associated Generating Functions	2021	H. M. Srivastava Sama Arjika
+	General $q$-series transformations based on Abel's lemma on summation by parts and their applications	2023	Jianan Xu Xinrong Ma
+	Expansion Formulas of Basic Hypergeometric Series via the (1-xy,y-x)--Inversion and Its Applications	2013	Jin Wang Xinrong Ma
+	Certain Hypergeometric Generating Relations Using Gould’s Identity and Their Generalizations	2018	M. I. Qureshi Sulakshana Bajaj
+	Multiple big q-Jacobi polynomials	2020	Fethi Bouzeffour Mübariz Garayev
+	On an unified reduction formula for Srivastava s triple hypergeometric series F^{(3)}[x, y, z]	2018	Yong Sup Kim Adem Kılıçman Arjun K. Rathie
+ PDF Chat	Some multilinear generating functions for q-Hermite polynomials	1989	H. M. Srivastava V. K. Jain
+	SOME FAMILIES OF GENERATING FUNCTIONS FOR THE q-KONHAUSER POLYNOMIALS	2008	H. M. Srivástava Fatma Tas ̧delen Burak S ̧ ekeroˇglu
+ PDF Chat	SOME FAMILIES OF GENERATING FUNCTIONS FOR THE q-KONHAUSER POLYNOMIALS	2008	H. M. Srivástava Fatma Taşdelen Burak Şekeroǧlu
+ PDF Chat	Hypergeometric and Basic Hypergeometric Series and Integrals Associated with Root Systems	2020	Michael J. Schlosser
+	Connection Formula of Basic Hypergeometric Series rφr-1(0; b; q, x)	2017	Yosuke Oyama 陽介大山
+	On Higher Order Jacobsthal Hyper Complex Numbers	2024	Hayrullah Özimamoğlu
+ PDF Chat	Connection and inversion coefficients for basic hypergeometric polynomials	2017	Hamza Chaggara Mohamed Mabrouk
+	Basic Hypergeometric Series (George Gasper and Mizan Rahman)	1991	Jet Wimp
+	Basic Hypergeometric Series	2004	George Gasper Mizan Rahman

Works That Cite This (5)

Action	Title	Year	Authors
+ PDF Chat	A characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind	2016	Michael Anshelevich
+	On d-orthogonal polynomials with Brenke type generating functions	2024	Hamza Chaggara Abdelhamid Gahami
+ PDF Chat	Some expansion formulas for Brenke polynomial sets	2024	Hamza Chaggara Abdelhamid Gahami Neïla Ben Romdhane
+	Two Parameterized Deformed Poisson Type Operator and the Combinatorial Moment Formula	2024	Nobuhiro Asai Hiroaki Yoshida
+	Classification of 2-orthogonal polynomials with brenke type generating functions	2024	Hamza Chaggara Abdelhamid Gahami

Works Cited by This (31)

Action	Title	Year	Authors
+	Orthogonal polynomials with Brenke type generating functions	1968	T. S. Chihara
+ PDF Chat	MULTIPLICATIVE RENORMALIZATION AND GENERATING FUNCTIONS II	2004	Nobuhiro Asai Izumi Kubo Hui-Hsiung Kuo
+	Some Orthogonal <i>q</i>‐Polynomials	1965	W. A. Al‐Salam L. Carlitz
+	Ultraspherical type generating functions for orthogonal polynomials	2008	Nizar Demni
+ PDF Chat	Segal-Bargmann transforms of one-mode interacting Fock spaces associated with Gaussian and Poisson measures	2002	Nobuhiro Asai Izumi Kubo Hui-Hsiung Kuo
+	INTERPOLATION OF CHEBYSHEV POLYNOMIALS AND INTERACTING FOCK SPACES	2006	Izumi Kubo Hui-Hsiung Kuo Suat Namli
+	HILBERT SPACE OF ANALYTIC FUNCTIONS ASSOCIATED WITH THE MODIFIED BESSEL FUNCTION AND RELATED ORTHOGONAL POLYNOMIALS	2005	Nobuhiro Asai
+	MRM-FACTORS FOR THE PROBABILITY MEASURES IN THE MEIXNER CLASS	2010	Izumi Kubo Hui-Hsiung Kuo
+	Polynomials of Meixner's type in infinite dimensions—Jacobi fields and orthogonality measures	2003	Eugene Lytvynov
+ PDF Chat	On a class of free Lévy laws related to a regression problem	2006	Marek Bożejko Włodzimierz Bryc