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A. Fitouhi, M. M. Hamza and F. Bouzeffour, “The q-jα Bessel Function,” Journal of Approxi-mation Theory, Vol. 115, No. 1, 2002, pp. 144-166.
doi:10.1006/jath.2001.3645
has been cited by the following article:
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TITLE:
Multiplication and Translation Operators on the Fock Spaces for the q-Modified Bessel Function
AUTHORS:
Fethi Soltani
KEYWORDS:
Generalized q-Fock Spaces; q-Iα Modified Bessel Function; q-Bessel Operator; Multiplication Operator; q-Translation Operators
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.4,
July
22,
2011
ABSTRACT: We study the multiplication operator M by z2 and the q-Bessel operator Δq,αon a Hilbert spaces Fq,α of entire functions on the disk D( o, ) , 0qq,α into itself. Next, we study a generalized translation operators on Fq,α .