A Connection Formula of the Hahn–Exton q-Bessel Function
نویسنده
چکیده
We show a connection formula of the Hahn–Exton q-Bessel function around the origin and the infinity. We introduce the q-Borel transformation and the q-Laplace transformation following C. Zhang to obtain the connection formula. We consider the limit p→ 1− of the connection formula.
منابع مشابه
. C A ] 1 4 Fe b 19 95 ORTHOGONAL POLYNOMIALS AND LAURENT POLYNOMIALS RELATED TO THE HAHN - EXTON q - BESSEL FUNCTION
Laurent polynomials related to the Hahn-Exton q-Bessel function, which are qanalogues of the Lommel polynomials, have been introduced by Koelink and Swarttouw. The explicit strong moment functional with respect to which the Laurent q-Lommel polynomials are orthogonal is given. The strong moment functional gives rise to two positive definite moment functionals. For the corresponding sets of orth...
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تاریخ انتشار 2011