Inequalities for Laguerre functions
The main published inequality for Laguerre functions Lvμ(z) seems to be for Laguerre polynomials Ln0(x) only; it is [2: 10.18(3)]: |Ln(x)|≤ex/2  for  x>0.This paper presents several inequalities for Laguerre polynomials Lnμ(x) and Laguerre functions Lvμ(x), most of which d...
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| Format: | Article |
| Language: | English |
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SpringerOpen
1997-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1025583497000192 |
| _version_ | 1798045427370557440 |
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| author | E. R. Love |
| author_facet | E. R. Love |
| author_sort | E. R. Love |
| collection | DOAJ |
| description | The main published inequality for Laguerre functions Lvμ(z) seems to be for Laguerre polynomials Ln0(x) only; it is [2: 10.18(3)]: |Ln(x)|≤ex/2  for  x>0.This paper presents several inequalities for Laguerre polynomials Lnμ(x) and Laguerre functions Lvμ(x), most of which do not seem to be in the existing literature. The corresponding inequalities for confluent hypergeometric functions are noted. |
| first_indexed | 2024-04-11T23:21:54Z |
| format | Article |
| id | doaj.art-3f0d1eec95f74167ad11381238e58a64 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-04-11T23:21:54Z |
| publishDate | 1997-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-3f0d1eec95f74167ad11381238e58a642022-12-22T03:57:26ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X1997-01-011329329910.1155/S1025583497000192Inequalities for Laguerre functionsE. R. LoveThe main published inequality for Laguerre functions Lvμ(z) seems to be for Laguerre polynomials Ln0(x) only; it is [2: 10.18(3)]: |Ln(x)|≤ex/2  for  x>0.This paper presents several inequalities for Laguerre polynomials Lnμ(x) and Laguerre functions Lvμ(x), most of which do not seem to be in the existing literature. The corresponding inequalities for confluent hypergeometric functions are noted.http://dx.doi.org/10.1155/S1025583497000192Laguerre polynomial; Laguerre function; confluent hypergeometric function; fractional integration. |
| spellingShingle | E. R. Love Inequalities for Laguerre functions Journal of Inequalities and Applications Laguerre polynomial; Laguerre function; confluent hypergeometric function; fractional integration. |
| title | Inequalities for Laguerre functions |
| title_full | Inequalities for Laguerre functions |
| title_fullStr | Inequalities for Laguerre functions |
| title_full_unstemmed | Inequalities for Laguerre functions |
| title_short | Inequalities for Laguerre functions |
| title_sort | inequalities for laguerre functions |
| topic | Laguerre polynomial; Laguerre function; confluent hypergeometric function; fractional integration. |
| url | http://dx.doi.org/10.1155/S1025583497000192 |
| work_keys_str_mv | AT erlove inequalitiesforlaguerrefunctions |