A New Class of Integrals Connected with Polynomials and Extended Generalized Mittag-Leffler Function
The aim of the present investigation is to deal with integrals, which are connected with the extended generalized Mittag-Leffler function, Jacobi polynomial, and Bessel-Maitland function. Further, we are also considering the integral formulae, which involve various special functions. Interesting spe...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-07-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_710259_0360255a9d02bc5b3f2c093a33da04e9.pdf |
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| author | Nirmal Kumar Jangid Sunil Joshi Ekta Mittal |
| author_facet | Nirmal Kumar Jangid Sunil Joshi Ekta Mittal |
| author_sort | Nirmal Kumar Jangid |
| collection | DOAJ |
| description | The aim of the present investigation is to deal with integrals, which are connected with the extended generalized Mittag-Leffler function, Jacobi polynomial, and Bessel-Maitland function. Further, we are also considering the integral formulae, which involve various special functions. Interesting special cases of the main results are also considered. The results obtained here are general in nature and can presume numerous new integral formulae connecting the several types of polynomials. |
| format | Article |
| id | doaj-art-0477a38a647b443d8b540b76f8496098 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-0477a38a647b443d8b540b76f84960982025-02-11T05:27:30ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-07-01213556410.22130/scma.2023.2004024.1356710259A New Class of Integrals Connected with Polynomials and Extended Generalized Mittag-Leffler FunctionNirmal Kumar Jangid0Sunil Joshi1Ekta Mittal2Department of Mathematics & Statistics, Manipal University Jaipur, Jaipur, India.Department of Mathematics & Statistics, Manipal University Jaipur, Jaipur, India.Department of Mathematics, IIS (deemed to be university), Jaipur, India.The aim of the present investigation is to deal with integrals, which are connected with the extended generalized Mittag-Leffler function, Jacobi polynomial, and Bessel-Maitland function. Further, we are also considering the integral formulae, which involve various special functions. Interesting special cases of the main results are also considered. The results obtained here are general in nature and can presume numerous new integral formulae connecting the several types of polynomials.https://scma.maragheh.ac.ir/article_710259_0360255a9d02bc5b3f2c093a33da04e9.pdfmittag-leffler functionjacobi polynomialextended beta functionwright generalized bessel function |
| spellingShingle | Nirmal Kumar Jangid Sunil Joshi Ekta Mittal A New Class of Integrals Connected with Polynomials and Extended Generalized Mittag-Leffler Function Sahand Communications in Mathematical Analysis mittag-leffler function jacobi polynomial extended beta function wright generalized bessel function |
| title | A New Class of Integrals Connected with Polynomials and Extended Generalized Mittag-Leffler Function |
| title_full | A New Class of Integrals Connected with Polynomials and Extended Generalized Mittag-Leffler Function |
| title_fullStr | A New Class of Integrals Connected with Polynomials and Extended Generalized Mittag-Leffler Function |
| title_full_unstemmed | A New Class of Integrals Connected with Polynomials and Extended Generalized Mittag-Leffler Function |
| title_short | A New Class of Integrals Connected with Polynomials and Extended Generalized Mittag-Leffler Function |
| title_sort | new class of integrals connected with polynomials and extended generalized mittag leffler function |
| topic | mittag-leffler function jacobi polynomial extended beta function wright generalized bessel function |
| url | https://scma.maragheh.ac.ir/article_710259_0360255a9d02bc5b3f2c093a33da04e9.pdf |
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