Loureiro, Ana F. and Yakubovich, S. (2013) Central factorials under the Kontorovich–Lebedev transform of polynomials. Integral Transforms and Special Functions, 24 (3). ISSN 1065-2469.
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In this paper, we show that slight modifications of the Kontorovich–Lebedev (KL) transform lead to an automorphism of the vector space of polynomials. This circumstance along with the Mellin transformation property of the modified Bessel functions perform the passage of monomials to central factorial polynomials. A special attention is driven to the polynomial sequences whose KL transform is the canonical sequence, which will be fully characterized. Finally, new identities between the central factorials and the Euler polynomials are found.
|Additional information:||Published online only 02.04.12|
|Uncontrolled keywords:||central factorials, Kontorovich–Lebedev transform, modified Bessel function, Fourier transform, Euler numbers, Genocchi numbers|
|Subjects:||Q Science > QA Mathematics (inc Computing science) > QA351 Special functions|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics|
|Depositing User:||Ana F. Loureiro|
|Date Deposited:||11 Oct 2012 14:41|
|Last Modified:||12 Feb 2013 16:30|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/31543 (The current URI for this page, for reference purposes)|
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