Dual and triple equations and q-orthogonal polynomials

O. A. Ashour; M. E.H. Ismail; Z. S.I. Mansour

doi:10.1080/10236198.2016.1167889

Dual and triple equations and q-orthogonal polynomials

O. A. Ashour
, M. E.H. Ismail
, Z. S.I. Mansour

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper, we solve dual and triple sequences involving q-orthogonal polynomials. We also introduce and solve a system of dual series equations when the kernel is the q-Laguerre polynomials. Examples are included.

Original language	English
Pages (from-to)	973-988
Number of pages	16
Journal	Journal of Difference Equations and Applications
Volume	22
Issue number	7
DOIs	https://doi.org/10.1080/10236198.2016.1167889
State	Published - 2 Jul 2016
Externally published	Yes

Keywords

q-dual and q-triple sequence equations
q-Fourier transform
q-integral operator
q-orthogonal polynomials
q-series equations
q-special functions

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10.1080/10236198.2016.1167889

Cite this

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title = "Dual and triple equations and q-orthogonal polynomials",

abstract = "In this paper, we solve dual and triple sequences involving q-orthogonal polynomials. We also introduce and solve a system of dual series equations when the kernel is the q-Laguerre polynomials. Examples are included.",

keywords = "q-dual and q-triple sequence equations, q-Fourier transform, q-integral operator, q-orthogonal polynomials, q-series equations, q-special functions",

author = "Ashour, \{O. A.\} and Ismail, \{M. E.H.\} and Mansour, \{Z. S.I.\}",

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T1 - Dual and triple equations and q-orthogonal polynomials

AU - Ashour, O. A.

AU - Ismail, M. E.H.

AU - Mansour, Z. S.I.

PY - 2016/7/2

Y1 - 2016/7/2

N2 - In this paper, we solve dual and triple sequences involving q-orthogonal polynomials. We also introduce and solve a system of dual series equations when the kernel is the q-Laguerre polynomials. Examples are included.

AB - In this paper, we solve dual and triple sequences involving q-orthogonal polynomials. We also introduce and solve a system of dual series equations when the kernel is the q-Laguerre polynomials. Examples are included.

KW - q-dual and q-triple sequence equations

KW - q-Fourier transform

KW - q-integral operator

KW - q-orthogonal polynomials

KW - q-series equations

KW - q-special functions

UR - https://www.scopus.com/pages/publications/84964053106

U2 - 10.1080/10236198.2016.1167889

DO - 10.1080/10236198.2016.1167889

M3 - Article

AN - SCOPUS:84964053106

SN - 1023-6198

VL - 22

SP - 973

EP - 988

JO - Journal of Difference Equations and Applications

JF - Journal of Difference Equations and Applications

IS - 7

ER -

Dual and triple equations and q-orthogonal polynomials

Abstract

Keywords

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