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 as...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/6548298 |
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| _version_ | 1832547137856995328 |
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| author | Jian-Jun Shu Kunal Krishnaraj Shastri |
| author_facet | Jian-Jun Shu Kunal Krishnaraj Shastri |
| author_sort | Jian-Jun Shu |
| collection | DOAJ |
| 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 and 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. |
| format | Article |
| id | doaj-art-315aa424df7e416e89b13be8eb18f5b0 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-315aa424df7e416e89b13be8eb18f5b02025-02-03T06:45:52ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/65482986548298Basic Properties of Incomplete Macdonald Function with ApplicationsJian-Jun Shu0Kunal Krishnaraj Shastri1School of Mechanical & Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, 639798, SingaporeSchool of Mechanical & Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, 639798, SingaporeThe 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 and 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.http://dx.doi.org/10.1155/2020/6548298 |
| spellingShingle | Jian-Jun Shu Kunal Krishnaraj Shastri Basic Properties of Incomplete Macdonald Function with Applications Journal of Function Spaces |
| 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 |
| url | http://dx.doi.org/10.1155/2020/6548298 |
| work_keys_str_mv | AT jianjunshu basicpropertiesofincompletemacdonaldfunctionwithapplications AT kunalkrishnarajshastri basicpropertiesofincompletemacdonaldfunctionwithapplications |