On the maximal terms of succesive Gelfond-Leont’ev-Salagen and Gelfond- Leont’ev-Ruscheweyh derivatives of a function analytic in the unit disc
For a function analytic in the unit disc the concepts of Gelfond-Leont'ev-Salagen and Gelfond-Leont'ev-Ruscheweyh derivatives of n-th order are introduced and the asymptotic behaviour of the maximal terms of their power development as n→+∞ is investigated.
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| Format: | Article |
| Language: | German |
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Ivan Franko National University of Lviv
2012-03-01
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| Series: | Математичні Студії |
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| Online Access: | http://matstud.org.ua/texts/2012/37_1/58-64.pdf |
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| _version_ | 1839604740903665664 |
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| author | M. M. Sheremeta |
| author_facet | M. M. Sheremeta |
| author_sort | M. M. Sheremeta |
| collection | DOAJ |
| description | For a function analytic in the unit disc the concepts of Gelfond-Leont'ev-Salagen and Gelfond-Leont'ev-Ruscheweyh derivatives of n-th order are introduced and the asymptotic behaviour of the maximal terms of their power development as n→+∞ is investigated. |
| format | Article |
| id | doaj-art-16fc7f1147db49b7aa77d8d6934a0ff6 |
| institution | Matheson Library |
| issn | 1027-4634 |
| language | deu |
| publishDate | 2012-03-01 |
| publisher | Ivan Franko National University of Lviv |
| record_format | Article |
| series | Математичні Студії |
| spelling | doaj-art-16fc7f1147db49b7aa77d8d6934a0ff62025-08-02T02:13:17ZdeuIvan Franko National University of LvivМатематичні Студії1027-46342012-03-013715864On the maximal terms of succesive Gelfond-Leont’ev-Salagen and Gelfond- Leont’ev-Ruscheweyh derivatives of a function analytic in the unit discM. M. SheremetaFor a function analytic in the unit disc the concepts of Gelfond-Leont'ev-Salagen and Gelfond-Leont'ev-Ruscheweyh derivatives of n-th order are introduced and the asymptotic behaviour of the maximal terms of their power development as n→+∞ is investigated.http://matstud.org.ua/texts/2012/37_1/58-64.pdfanalytic functionderivatives of Gelfond-Leont’evSalagen and Rusheweyhmaximal term of power series |
| spellingShingle | M. M. Sheremeta On the maximal terms of succesive Gelfond-Leont’ev-Salagen and Gelfond- Leont’ev-Ruscheweyh derivatives of a function analytic in the unit disc Математичні Студії analytic function derivatives of Gelfond-Leont’ev Salagen and Rusheweyh maximal term of power series |
| title | On the maximal terms of succesive Gelfond-Leont’ev-Salagen and Gelfond- Leont’ev-Ruscheweyh derivatives of a function analytic in the unit disc |
| title_full | On the maximal terms of succesive Gelfond-Leont’ev-Salagen and Gelfond- Leont’ev-Ruscheweyh derivatives of a function analytic in the unit disc |
| title_fullStr | On the maximal terms of succesive Gelfond-Leont’ev-Salagen and Gelfond- Leont’ev-Ruscheweyh derivatives of a function analytic in the unit disc |
| title_full_unstemmed | On the maximal terms of succesive Gelfond-Leont’ev-Salagen and Gelfond- Leont’ev-Ruscheweyh derivatives of a function analytic in the unit disc |
| title_short | On the maximal terms of succesive Gelfond-Leont’ev-Salagen and Gelfond- Leont’ev-Ruscheweyh derivatives of a function analytic in the unit disc |
| title_sort | on the maximal terms of succesive gelfond leont ev salagen and gelfond leont ev ruscheweyh derivatives of a function analytic in the unit disc |
| topic | analytic function derivatives of Gelfond-Leont’ev Salagen and Rusheweyh maximal term of power series |
| url | http://matstud.org.ua/texts/2012/37_1/58-64.pdf |
| work_keys_str_mv | AT mmsheremeta onthemaximaltermsofsuccesivegelfondleontevsalagenandgelfondleontevruscheweyhderivativesofafunctionanalyticintheunitdisc |