Authors: Tričković, Slobodan
Stanković, Miomir 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: ON A GENERALIZED FUNCTION-TO-SEQUENCE TRANSFORM
Journal: Applicable Analysis and Discrete Mathematics
Volume: 14
Issue: 2
First page: 300
Last page: 316
Issue Date: 1-Jan-2020
Rank: M21
ISSN: 1452-8630
DOI: 10.2298/AADM180908005T
Abstract: 
By attaching a sequence (Formula presented) to the binomial transform, a new operator (Formula presented) is obtained. We use the same sequence to define a new transform (Formula presented) mapping derivatives to the powers of (Formula presented), and integrals to (Formula presented). The inverse transform (Formula presented) of (Formula presented) is introduced and its properties are studied. For α = (−1) , (Formula presented) reduces to the Borel transform. Applying (Formula presented) to Bessel’s differential operator (Formula presented), we obtain Bessel’s discrete operator (Formula presented). Its eigenvectors correspond to eigenfunctions of Bessel’s differential operator. n n
Keywords: Bessel’s operator | Binomial transform | forward difference operator | generalized function-to-sequence transform
Publisher: Elektrotehnički fakultet Univerziteta u Beogradu

Show full item record

Page view(s)

19
checked on Dec 6, 2022

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.