Bicomplex Landau and Ikehara Theorems for the Dirichlet Series
The aim of this paper is to generalize the Landau-type Tauberian theorem for the bicomplex variables. Our findings extend and improve on previous versions of the Ikehara theorem. Also boundedness result for the bicomplex version of Ikehara–Korevaar theorem is derived. The purpose of this article is...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/4528209 |
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| author | Ritu Agarwal Urvashi Purohit Sharma Ravi P. Agarwal Daya Lal Suthar Sunil Dutt Purohit |
| author_facet | Ritu Agarwal Urvashi Purohit Sharma Ravi P. Agarwal Daya Lal Suthar Sunil Dutt Purohit |
| author_sort | Ritu Agarwal |
| collection | DOAJ |
| description | The aim of this paper is to generalize the Landau-type Tauberian theorem for the bicomplex variables. Our findings extend and improve on previous versions of the Ikehara theorem. Also boundedness result for the bicomplex version of Ikehara–Korevaar theorem is derived. The purpose of this article is to substantially extend the various complex Tauberian theorems for the Dirichlet series to the bicomplex domain. |
| format | Article |
| id | doaj-art-7dcf2011a3b84943ae2bb4df2f3dfe90 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-7dcf2011a3b84943ae2bb4df2f3dfe902025-08-20T03:35:23ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/4528209Bicomplex Landau and Ikehara Theorems for the Dirichlet SeriesRitu Agarwal0Urvashi Purohit Sharma1Ravi P. Agarwal2Daya Lal Suthar3Sunil Dutt Purohit4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of HEAS(Mathematics)The aim of this paper is to generalize the Landau-type Tauberian theorem for the bicomplex variables. Our findings extend and improve on previous versions of the Ikehara theorem. Also boundedness result for the bicomplex version of Ikehara–Korevaar theorem is derived. The purpose of this article is to substantially extend the various complex Tauberian theorems for the Dirichlet series to the bicomplex domain.http://dx.doi.org/10.1155/2022/4528209 |
| spellingShingle | Ritu Agarwal Urvashi Purohit Sharma Ravi P. Agarwal Daya Lal Suthar Sunil Dutt Purohit Bicomplex Landau and Ikehara Theorems for the Dirichlet Series Journal of Mathematics |
| title | Bicomplex Landau and Ikehara Theorems for the Dirichlet Series |
| title_full | Bicomplex Landau and Ikehara Theorems for the Dirichlet Series |
| title_fullStr | Bicomplex Landau and Ikehara Theorems for the Dirichlet Series |
| title_full_unstemmed | Bicomplex Landau and Ikehara Theorems for the Dirichlet Series |
| title_short | Bicomplex Landau and Ikehara Theorems for the Dirichlet Series |
| title_sort | bicomplex landau and ikehara theorems for the dirichlet series |
| url | http://dx.doi.org/10.1155/2022/4528209 |
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