The Taylor series expansion coefficients for solutions of the Emden‐Fowler type equations
We present the explicit non‐recursive formulas for the Taylor series expansion coefficients for the functions Sn (t) defined as solutions of the Emden ‐ Fowler type equations x” = –nx 2n−1 with the initial conditions x(0) = 0, x‘(0) = 1, where n = 1,2,… Pateikiamos vadinamos Emdeno‐Faulerio lyg...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2005-09-01
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| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/9677 |
| _version_ | 1818381137946345472 |
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| author | A. Gritsans F. Sadyrbaev |
| author_facet | A. Gritsans F. Sadyrbaev |
| author_sort | A. Gritsans |
| collection | DOAJ |
| description | We present the explicit non‐recursive formulas for the Taylor series expansion coefficients for the functions Sn (t) defined as solutions of the Emden ‐ Fowler type equations x” = –nx 2n−1 with the initial conditions x(0) = 0, x‘(0) = 1, where n = 1,2,…
Pateikiamos vadinamos Emdeno‐Faulerio lygties x” = –nx 2n−1 pradinio uždavinio x(0) = 0, x‘(0) = 1,(n = 1,2,…) sprendiniu Sn (t) Teiloro eilute koeficientu išreikštines formules. Jos yra nerekursyvine.
First Published Online: 14 Oct 2010 |
| first_indexed | 2024-12-14T02:29:48Z |
| format | Article |
| id | doaj.art-52a0752adc0a42e389ec510a3cfd8668 |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-12-14T02:29:48Z |
| publishDate | 2005-09-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-52a0752adc0a42e389ec510a3cfd86682022-12-21T23:20:17ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102005-09-0110310.3846/13926292.2005.9637285The Taylor series expansion coefficients for solutions of the Emden‐Fowler type equationsA. Gritsans0F. Sadyrbaev1Daugavpils University , Parades str. 1, DaugavpilsInstitute of Mathematics and Computer Science , University of Latvia , Rainis blvd 29, RigaWe present the explicit non‐recursive formulas for the Taylor series expansion coefficients for the functions Sn (t) defined as solutions of the Emden ‐ Fowler type equations x” = –nx 2n−1 with the initial conditions x(0) = 0, x‘(0) = 1, where n = 1,2,… Pateikiamos vadinamos Emdeno‐Faulerio lygties x” = –nx 2n−1 pradinio uždavinio x(0) = 0, x‘(0) = 1,(n = 1,2,…) sprendiniu Sn (t) Teiloro eilute koeficientu išreikštines formules. Jos yra nerekursyvine. First Published Online: 14 Oct 2010https://journals.vgtu.lt/index.php/MMA/article/view/9677Emden ‐ Fowler equationsTaylor series expansionlemniscatic sine |
| spellingShingle | A. Gritsans F. Sadyrbaev The Taylor series expansion coefficients for solutions of the Emden‐Fowler type equations Mathematical Modelling and Analysis Emden ‐ Fowler equations Taylor series expansion lemniscatic sine |
| title | The Taylor series expansion coefficients for solutions of the Emden‐Fowler type equations |
| title_full | The Taylor series expansion coefficients for solutions of the Emden‐Fowler type equations |
| title_fullStr | The Taylor series expansion coefficients for solutions of the Emden‐Fowler type equations |
| title_full_unstemmed | The Taylor series expansion coefficients for solutions of the Emden‐Fowler type equations |
| title_short | The Taylor series expansion coefficients for solutions of the Emden‐Fowler type equations |
| title_sort | taylor series expansion coefficients for solutions of the emden fowler type equations |
| topic | Emden ‐ Fowler equations Taylor series expansion lemniscatic sine |
| url | https://journals.vgtu.lt/index.php/MMA/article/view/9677 |
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