A Comprehensive Study on the Zeros of the Two-Parameter Mittag-Leffler Function
The Mittag-Leffler function appears as an analytical solution of some fractional differential equations. The behavior of the zeros of the Mittag-Leffler function, especially their asymptotic distribution, plays a fundamental role in the study of eigenvalue problems. The goal here is to derive a diff...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Maragheh
2025-01-01
|
| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_719348_ab0342d30abb9200f556593d56b921fb.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1823859354870218752 |
|---|---|
| author | Farnoosh Abooali Aliasghar Jodayree Akbarfam |
| author_facet | Farnoosh Abooali Aliasghar Jodayree Akbarfam |
| author_sort | Farnoosh Abooali |
| collection | DOAJ |
| description | The Mittag-Leffler function appears as an analytical solution of some fractional differential equations. The behavior of the zeros of the Mittag-Leffler function, especially their asymptotic distribution, plays a fundamental role in the study of eigenvalue problems. The goal here is to derive a different form of the higher-order asymptotic distribution of the zeros of the \mbox{Mittag-Leffler} function. |
| format | Article |
| id | doaj-art-c75c8589440d4395aab65dbd784b4d3d |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-c75c8589440d4395aab65dbd784b4d3d2025-02-11T05:28:01ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002025-01-0122112310.22130/scma.2024.2030271.1741719348A Comprehensive Study on the Zeros of the Two-Parameter Mittag-Leffler FunctionFarnoosh Abooali0Aliasghar Jodayree Akbarfam1Faculty of Mathematics, Statistics and Computer Science, University of Tabriz, Tabriz, Iran.Faculty of Mathematics, Statistics and Computer Science, University of Tabriz, Tabriz, Iran.The Mittag-Leffler function appears as an analytical solution of some fractional differential equations. The behavior of the zeros of the Mittag-Leffler function, especially their asymptotic distribution, plays a fundamental role in the study of eigenvalue problems. The goal here is to derive a different form of the higher-order asymptotic distribution of the zeros of the \mbox{Mittag-Leffler} function.https://scma.maragheh.ac.ir/article_719348_ab0342d30abb9200f556593d56b921fb.pdfmittag-leffler functionfractional differential equationsasymptotic distribution of zeroshigher-order terms |
| spellingShingle | Farnoosh Abooali Aliasghar Jodayree Akbarfam A Comprehensive Study on the Zeros of the Two-Parameter Mittag-Leffler Function Sahand Communications in Mathematical Analysis mittag-leffler function fractional differential equations asymptotic distribution of zeros higher-order terms |
| title | A Comprehensive Study on the Zeros of the Two-Parameter Mittag-Leffler Function |
| title_full | A Comprehensive Study on the Zeros of the Two-Parameter Mittag-Leffler Function |
| title_fullStr | A Comprehensive Study on the Zeros of the Two-Parameter Mittag-Leffler Function |
| title_full_unstemmed | A Comprehensive Study on the Zeros of the Two-Parameter Mittag-Leffler Function |
| title_short | A Comprehensive Study on the Zeros of the Two-Parameter Mittag-Leffler Function |
| title_sort | comprehensive study on the zeros of the two parameter mittag leffler function |
| topic | mittag-leffler function fractional differential equations asymptotic distribution of zeros higher-order terms |
| url | https://scma.maragheh.ac.ir/article_719348_ab0342d30abb9200f556593d56b921fb.pdf |
| work_keys_str_mv | AT farnooshabooali acomprehensivestudyonthezerosofthetwoparametermittaglefflerfunction AT aliasgharjodayreeakbarfam acomprehensivestudyonthezerosofthetwoparametermittaglefflerfunction AT farnooshabooali comprehensivestudyonthezerosofthetwoparametermittaglefflerfunction AT aliasgharjodayreeakbarfam comprehensivestudyonthezerosofthetwoparametermittaglefflerfunction |