On inversion of H-transform in 𝔏v,r-space
The paper is devoted to study the inversion of the integral transform (Hf)(x)=∫0∞Hp,qm,n[xt|(ai,αi)1,p(bj,βj)1,p|] f(t)dt involving the H-function as the kernel in the space 𝔏v,r of functions f such that ∫0∞|tυf(t)|rdtt<∞ (1<r<∞,ν∈ℝ).
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171298000994 |
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| _version_ | 1849395470004125696 |
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| author | Sergei A. Shlapakov Megumi Saigo Anatoly A. Kilbas |
| author_facet | Sergei A. Shlapakov Megumi Saigo Anatoly A. Kilbas |
| author_sort | Sergei A. Shlapakov |
| collection | DOAJ |
| description | The paper is devoted to study the inversion of the integral transform
(Hf)(x)=∫0∞Hp,qm,n[xt|(ai,αi)1,p(bj,βj)1,p|] f(t)dt
involving the H-function as the kernel in the space 𝔏v,r of functions f such that
∫0∞|tυf(t)|rdtt<∞ (1<r<∞,ν∈ℝ). |
| format | Article |
| id | doaj-art-a9fd45b93b284d65ac3bbc9977f390b2 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a9fd45b93b284d65ac3bbc9977f390b22025-08-20T03:39:36ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121471372210.1155/S0161171298000994On inversion of H-transform in 𝔏v,r-spaceSergei A. Shlapakov0Megumi Saigo1Anatoly A. Kilbas2Department of Mathematics, Vitebsk Pedagogical University, Vitebsk 210036, BelarusDepartment of Applied Mathematics, Fukuoka University, Fukuoka 814-0180, JapanDepartment of Mathematics and Mechanics, Belarusian State University, Minsk 220050, BelarusThe paper is devoted to study the inversion of the integral transform (Hf)(x)=∫0∞Hp,qm,n[xt|(ai,αi)1,p(bj,βj)1,p|] f(t)dt involving the H-function as the kernel in the space 𝔏v,r of functions f such that ∫0∞|tυf(t)|rdtt<∞ (1<r<∞,ν∈ℝ).http://dx.doi.org/10.1155/S0161171298000994H-functionIntegral transform. |
| spellingShingle | Sergei A. Shlapakov Megumi Saigo Anatoly A. Kilbas On inversion of H-transform in 𝔏v,r-space International Journal of Mathematics and Mathematical Sciences H-function Integral transform . |
| title | On inversion of H-transform in
𝔏v,r-space |
| title_full | On inversion of H-transform in
𝔏v,r-space |
| title_fullStr | On inversion of H-transform in
𝔏v,r-space |
| title_full_unstemmed | On inversion of H-transform in
𝔏v,r-space |
| title_short | On inversion of H-transform in
𝔏v,r-space |
| title_sort | on inversion of h transform in 𝔏v r space |
| topic | H-function Integral transform . |
| url | http://dx.doi.org/10.1155/S0161171298000994 |
| work_keys_str_mv | AT sergeiashlapakov oninversionofhtransforminlvrspace AT megumisaigo oninversionofhtransforminlvrspace AT anatolyakilbas oninversionofhtransforminlvrspace |