The Abel summation of the Kontorovich-Lebedev integral representation

A new result on the summation of the Kontorovich–Lebedev integral representation in the sense of Abel mean is given.

Bibliographic Details
Main Authors: Petru A. Cojuhari, Alexander M. Gomilko
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2005-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol25/1/art/opuscula_math_2504.pdf
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author Petru A. Cojuhari
Alexander M. Gomilko
author_facet Petru A. Cojuhari
Alexander M. Gomilko
author_sort Petru A. Cojuhari
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description A new result on the summation of the Kontorovich–Lebedev integral representation in the sense of Abel mean is given.
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spelling doaj.art-e444bab0ae3342cdb88cf9c839c2cdc92022-12-21T22:56:28ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742005-01-012511011072504The Abel summation of the Kontorovich-Lebedev integral representationPetru A. Cojuhari0Alexander M. Gomilko1AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Cracow, PolandNational University of Trade and Economics, Department of Higher and Applied Mathematics, Kiev, UkraineA new result on the summation of the Kontorovich–Lebedev integral representation in the sense of Abel mean is given.http://www.opuscula.agh.edu.pl/vol25/1/art/opuscula_math_2504.pdfintegral transformstransforms of special functions,special functionsoperational calculus
spellingShingle Petru A. Cojuhari
Alexander M. Gomilko
The Abel summation of the Kontorovich-Lebedev integral representation
Opuscula Mathematica
integral transforms
transforms of special functions,
special functions
operational calculus
title The Abel summation of the Kontorovich-Lebedev integral representation
title_full The Abel summation of the Kontorovich-Lebedev integral representation
title_fullStr The Abel summation of the Kontorovich-Lebedev integral representation
title_full_unstemmed The Abel summation of the Kontorovich-Lebedev integral representation
title_short The Abel summation of the Kontorovich-Lebedev integral representation
title_sort abel summation of the kontorovich lebedev integral representation
topic integral transforms
transforms of special functions,
special functions
operational calculus
url http://www.opuscula.agh.edu.pl/vol25/1/art/opuscula_math_2504.pdf
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