Some New Results for the $\mathscr{M}$-Transform Involving the Incomplete $I$-Functions
Integral transformations are crucial for solving a variety of actual issues. The right choice of integral transforms aids in simplifying both integral and differential problems into a solution-friendly algebraic equation. In this paper, $\mathscr{M}$-transform is applied to establish the image formu...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-03-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_708783_9332bb6db7d0d477373d2b999cc14c63.pdf |
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| author | Sanjay Bhatter Nishant - Sunil Purohit |
| author_facet | Sanjay Bhatter Nishant - Sunil Purohit |
| author_sort | Sanjay Bhatter |
| collection | DOAJ |
| description | Integral transformations are crucial for solving a variety of actual issues. The right choice of integral transforms aids in simplifying both integral and differential problems into a solution-friendly algebraic equation. In this paper, $\mathscr{M}$-transform is applied to establish the image formula for the multiplication of a family of polynomials and incomplete $I$-functions. Additionally, we discovered image formulations for a few significant and valuable cases of incomplete $I$-functions. Numerous previously unknown and novel conclusions can be reached by assigning specific values to the parameters involved in the primary conclusions drawn in this study. |
| format | Article |
| id | doaj-art-24a4a9d71587428cbf74811fee765cda |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-24a4a9d71587428cbf74811fee765cda2025-02-11T05:24:46ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-03-0121212310.22130/scma.2023.1990549.1265708783Some New Results for the $\mathscr{M}$-Transform Involving the Incomplete $I$-FunctionsSanjay Bhatter0Nishant -1Sunil Purohit2Department of Mathematics, Malaviya National Institute of Technology Jaipur, India.Department of Mathematics, Malaviya National Institute of Technology Jaipur, India.Department of HEAS (Mathematics), Rajasthan Technical University, Kota, India.Integral transformations are crucial for solving a variety of actual issues. The right choice of integral transforms aids in simplifying both integral and differential problems into a solution-friendly algebraic equation. In this paper, $\mathscr{M}$-transform is applied to establish the image formula for the multiplication of a family of polynomials and incomplete $I$-functions. Additionally, we discovered image formulations for a few significant and valuable cases of incomplete $I$-functions. Numerous previously unknown and novel conclusions can be reached by assigning specific values to the parameters involved in the primary conclusions drawn in this study.https://scma.maragheh.ac.ir/article_708783_9332bb6db7d0d477373d2b999cc14c63.pdfincomplete gamma functionincomplete $i$-functionsmellin-barnes type contour |
| spellingShingle | Sanjay Bhatter Nishant - Sunil Purohit Some New Results for the $\mathscr{M}$-Transform Involving the Incomplete $I$-Functions Sahand Communications in Mathematical Analysis incomplete gamma function incomplete $i$-functions mellin-barnes type contour |
| title | Some New Results for the $\mathscr{M}$-Transform Involving the Incomplete $I$-Functions |
| title_full | Some New Results for the $\mathscr{M}$-Transform Involving the Incomplete $I$-Functions |
| title_fullStr | Some New Results for the $\mathscr{M}$-Transform Involving the Incomplete $I$-Functions |
| title_full_unstemmed | Some New Results for the $\mathscr{M}$-Transform Involving the Incomplete $I$-Functions |
| title_short | Some New Results for the $\mathscr{M}$-Transform Involving the Incomplete $I$-Functions |
| title_sort | some new results for the mathscr m transform involving the incomplete i functions |
| topic | incomplete gamma function incomplete $i$-functions mellin-barnes type contour |
| url | https://scma.maragheh.ac.ir/article_708783_9332bb6db7d0d477373d2b999cc14c63.pdf |
| work_keys_str_mv | AT sanjaybhatter somenewresultsforthemathscrmtransforminvolvingtheincompleteifunctions AT nishant somenewresultsforthemathscrmtransforminvolvingtheincompleteifunctions AT sunilpurohit somenewresultsforthemathscrmtransforminvolvingtheincompleteifunctions |