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Logarithmic A-hypergeometric series
| Title: | Logarithmic A-hypergeometric series |
| Authors: | Saito, Mutsumi Browse this author →KAKEN DB |
| Keywords: | A-hypergeometric systems | | the method of Frobenius |
| Issue Date: | Dec-2020 |
| Publisher: | World Scientific Publishing |
| Journal Title: | International journal of mathematics |
| Volume: | 31 |
| Issue: | 13 |
| Start Page: | 2050110 |
| Publisher DOI: | 10.1142/S0129167X20501104 |
| Abstract: | The method of Frobenius is a standard technique to construct series solutions of an ordinary linear differential equation around a regular singular point. In the classical case, when the roots of the indicial polynomial are separated by an integer, logarithmic solutions can be constructed by means of perturbation of a root. The method for a regular A-hypergeometric system is a theme of the book by Saito, Sturmfels and Takayama. Whereas they perturbed a parameter vector to obtain logarithmic A-hypergeometric series solutions, we adopt a different perturbation in this paper. |
| Rights: | Electronic version of an article published as International Journal of MathematicsVol. 31, No. 13, 2050110 (2020) https://doi.org/10.1142/S0129167X20501104 ©World Scientific Publishing Company https://www.worldscientific.com/worldscinet/ijm |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/83377 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 齋藤 睦
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