On the Ritt order of a certain class of functions
The authors introduce the notions of Ritt order and lower order to functions defined by the series ∑1∞fn(s)exp(−λns) where (λn) is a D-sequence and fn(s) are entire functions of bounded index.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1983-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171283000162 |
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| _version_ | 1832548445433364480 |
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| author | R. Parvatham J. Thangamani |
| author_facet | R. Parvatham J. Thangamani |
| author_sort | R. Parvatham |
| collection | DOAJ |
| description | The authors introduce the notions of Ritt order and lower order to
functions defined by the series ∑1∞fn(s)exp(−λns) where (λn) is a D-sequence and fn(s) are entire functions of bounded index. |
| format | Article |
| id | doaj-art-021236019cb746149f3361a8d9ef7614 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1983-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-021236019cb746149f3361a8d9ef76142025-02-03T06:14:02ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-016118118710.1155/S0161171283000162On the Ritt order of a certain class of functionsR. Parvatham0J. Thangamani1The Ramanujan Institute, University of Madras, Madras 600 005, IndiaThe Ramanujan Institute, University of Madras, Madras 600 005, IndiaThe authors introduce the notions of Ritt order and lower order to functions defined by the series ∑1∞fn(s)exp(−λns) where (λn) is a D-sequence and fn(s) are entire functions of bounded index.http://dx.doi.org/10.1155/S0161171283000162Ritt orderentire functions of bounded indexDirichlet series. |
| spellingShingle | R. Parvatham J. Thangamani On the Ritt order of a certain class of functions International Journal of Mathematics and Mathematical Sciences Ritt order entire functions of bounded index Dirichlet series. |
| title | On the Ritt order of a certain class of functions |
| title_full | On the Ritt order of a certain class of functions |
| title_fullStr | On the Ritt order of a certain class of functions |
| title_full_unstemmed | On the Ritt order of a certain class of functions |
| title_short | On the Ritt order of a certain class of functions |
| title_sort | on the ritt order of a certain class of functions |
| topic | Ritt order entire functions of bounded index Dirichlet series. |
| url | http://dx.doi.org/10.1155/S0161171283000162 |
| work_keys_str_mv | AT rparvatham ontherittorderofacertainclassoffunctions AT jthangamani ontherittorderofacertainclassoffunctions |