Basic properties of incomplete Macdonald function with applications
The incomplete version of the Macdonald function has various appellations in literature and earns a well-deserved reputation of being a computational challenge. This paper ties together the previously disjoint literature and presents the basic properties of the incomplete Macdonald function, such...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/165724 |
| _version_ | 1826112940206456832 |
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| author | Shu, Jian Jun Shastri, Kunal Krishnaraj |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Shu, Jian Jun Shastri, Kunal Krishnaraj |
| author_sort | Shu, Jian Jun |
| collection | NTU |
| description | The incomplete version of the Macdonald function has various appellations in
literature and earns a well-deserved reputation of being a computational
challenge. This paper ties together the previously disjoint literature and
presents the basic properties of the incomplete Macdonald function, such as
recurrence and differential relations, series and asymptotic expansions. This
paper also shows that the incomplete Macdonald function, as a simple
closed-form expression, is a particular solution to a parabolic partial
differential equation, which arises naturally in a wide variety of transient
and diffusion-related phenomena. |
| first_indexed | 2024-10-01T03:15:00Z |
| format | Journal Article |
| id | ntu-10356/165724 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:15:00Z |
| publishDate | 2023 |
| record_format | dspace |
| spelling | ntu-10356/1657242023-04-15T16:49:27Z Basic properties of incomplete Macdonald function with applications Shu, Jian Jun Shastri, Kunal Krishnaraj School of Mechanical and Aerospace Engineering Mathematics - Functional Analysis Vibration Tests Measuring System The incomplete version of the Macdonald function has various appellations in literature and earns a well-deserved reputation of being a computational challenge. This paper ties together the previously disjoint literature and presents the basic properties of the incomplete Macdonald function, such as recurrence and differential relations, series and asymptotic expansions. This paper also shows that the incomplete Macdonald function, as a simple closed-form expression, is a particular solution to a parabolic partial differential equation, which arises naturally in a wide variety of transient and diffusion-related phenomena. Ministry of Education (MOE) Published version This work was supported by the Singapore Ministry of Education Academic Research Fund Tier 1 (04MNP002133C160). 2023-04-12T07:46:41Z 2023-04-12T07:46:41Z 2020 Journal Article Shu, J. J. & Shastri, K. K. (2020). Basic properties of incomplete Macdonald function with applications. Journal of Function Spaces, 2020, 6548298-. https://dx.doi.org/10.1155/2020/6548298 2314-8896 https://hdl.handle.net/10356/165724 10.1155/2020/6548298 2-s2.0-85095813210 2020 6548298 en 04MNP002133C160 Journal of Function Spaces © 2020 Jian-Jun Shu and Kunal Krishnaraj Shastri. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. application/pdf |
| spellingShingle | Mathematics - Functional Analysis Vibration Tests Measuring System Shu, Jian Jun Shastri, Kunal Krishnaraj Basic properties of incomplete Macdonald function with applications |
| title | Basic properties of incomplete Macdonald function with applications |
| title_full | Basic properties of incomplete Macdonald function with applications |
| title_fullStr | Basic properties of incomplete Macdonald function with applications |
| title_full_unstemmed | Basic properties of incomplete Macdonald function with applications |
| title_short | Basic properties of incomplete Macdonald function with applications |
| title_sort | basic properties of incomplete macdonald function with applications |
| topic | Mathematics - Functional Analysis Vibration Tests Measuring System |
| url | https://hdl.handle.net/10356/165724 |
| work_keys_str_mv | AT shujianjun basicpropertiesofincompletemacdonaldfunctionwithapplications AT shastrikunalkrishnaraj basicpropertiesofincompletemacdonaldfunctionwithapplications |