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Haya H Al Muhannadi
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Sampling theorems associated with biorthogonal q-Bessel functions

Author(s): Annaby, MH (Annaby, M. H.); Mansour, ZS (Mansour, Z. S.); Ashour, OA (Ashour, O. A.) Source: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 43 (29): Art. No. 295204 JUL 23 2010

This paper deals with the derivation of sampling theorems associated with q-biorthogonal systems. We derive interpolation expansions for q-Hankel transforms whose kernels are the second-type q-Bessel functions J(nu)((2))(z; q), nu > 0, 0 < q < 1. We investigate the eigenvalue problem whose solutions are the q-Bessel functions as well as its adjoint. Special cases and applications involving the associated q-sine function are given. The results are based on the conjecture that a family of q-Bessel functions of the second kind is a Riesz basis. Clues are given to support our claim.

Author(s):  Annaby, MH (Annaby, M. H.); Mansour, ZS (Mansour, Z. S.); Ashour, OA (Ashour, O. A.)
Source:  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 43 (29): Art. No. 295204 JUL 23 2010
Language:  English
Document Type:  Article
KeyWords Plus:  TRANSFORM; SERIES; ANALOG; ZEROS
Addresses:  [Annaby, M. H.] Qatar Univ, Dept Math Stat & Phys, Doha, Qatar; [Mansour, Z. S.] King Saudi Univ, Dept Math, Fac Sci, Riyadh 11451, Saudi Arabia; [Ashour, O. A.] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt
Reprint Address:  Annaby, MH, Qatar Univ, Dept Math Stat & Phys, POB 2713, Doha, Qatar.
Funding Agency:  QNRF - KSU
Publisher:  IOP PUBLISHING LTD
Publisher Address:  DIRAC HOUSE, TEMPLE BACK, BRISTOL BS1 6BE, ENGLAND
ISSN:  1751-8113
29-char Source Abbrev.:  J PHYS A-MATH THEOR
ISO Source Abbrev.:  J. Phys. A-Math. Theor.
Subject Category:  Physics, Multidisciplinary; Physics, Mathematical
ISI Document Delivery No.:  619XH
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