Investigation of some finite integrals incorporating incomplete Aleph functions
In this paper, we introduce a new approach to the study of finite integral formulas associated with special functions, bringing out the incomplete Aleph functions and other well-known special functions. Our method is based on the finite integral operator applied to incomplete Aleph functions. This a...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
World Scientific Publishing
2024-12-01
|
| Series: | International Journal of Mathematics for Industry |
| Subjects: | |
| Online Access: | https://www.worldscientific.com/doi/10.1142/S2661335224500072 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850069435559182336 |
|---|---|
| author | Sachin Kumar Manvendra Narayan Mishra Ravi Shanker Dubey Rahul Sharma |
| author_facet | Sachin Kumar Manvendra Narayan Mishra Ravi Shanker Dubey Rahul Sharma |
| author_sort | Sachin Kumar |
| collection | DOAJ |
| description | In this paper, we introduce a new approach to the study of finite integral formulas associated with special functions, bringing out the incomplete Aleph functions and other well-known special functions. Our method is based on the finite integral operator applied to incomplete Aleph functions. This approach makes it easier to derive integral formulas that connect the incomplete Aleph functions using well-known special functions and algebraic expressions. As a result, we can group integral formulas and special functions into different classes according to similar features. Furthermore, we can discover new integral formulas with this framework that are useful for computational applications. |
| format | Article |
| id | doaj-art-e5d8b31bbceb4b74bd86fdd0a61ea49a |
| institution | DOAJ |
| issn | 2661-3352 2661-3344 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | International Journal of Mathematics for Industry |
| spelling | doaj-art-e5d8b31bbceb4b74bd86fdd0a61ea49a2025-08-20T02:47:46ZengWorld Scientific PublishingInternational Journal of Mathematics for Industry2661-33522661-33442024-12-0116Supp0110.1142/S2661335224500072Investigation of some finite integrals incorporating incomplete Aleph functionsSachin Kumar0Manvendra Narayan Mishra1Ravi Shanker Dubey2Rahul Sharma3Department of Mathematics, Suresh Gyan Vihar University, Rajasthan, IndiaDepartment of Mathematics, Suresh Gyan Vihar University, Rajasthan, IndiaDepartment of Mathematics, Amity School of Applied Science, Amity University Rajasthan, Rajasthan, IndiaDepartment of Mathematics, University of Engineering and Management Jaipur, Rajasthan, IndiaIn this paper, we introduce a new approach to the study of finite integral formulas associated with special functions, bringing out the incomplete Aleph functions and other well-known special functions. Our method is based on the finite integral operator applied to incomplete Aleph functions. This approach makes it easier to derive integral formulas that connect the incomplete Aleph functions using well-known special functions and algebraic expressions. As a result, we can group integral formulas and special functions into different classes according to similar features. Furthermore, we can discover new integral formulas with this framework that are useful for computational applications.https://www.worldscientific.com/doi/10.1142/S2661335224500072Incomplete gamma functionincomplete Aleph functionsJacobi polynomialsLegendre functionBessel function |
| spellingShingle | Sachin Kumar Manvendra Narayan Mishra Ravi Shanker Dubey Rahul Sharma Investigation of some finite integrals incorporating incomplete Aleph functions International Journal of Mathematics for Industry Incomplete gamma function incomplete Aleph functions Jacobi polynomials Legendre function Bessel function |
| title | Investigation of some finite integrals incorporating incomplete Aleph functions |
| title_full | Investigation of some finite integrals incorporating incomplete Aleph functions |
| title_fullStr | Investigation of some finite integrals incorporating incomplete Aleph functions |
| title_full_unstemmed | Investigation of some finite integrals incorporating incomplete Aleph functions |
| title_short | Investigation of some finite integrals incorporating incomplete Aleph functions |
| title_sort | investigation of some finite integrals incorporating incomplete aleph functions |
| topic | Incomplete gamma function incomplete Aleph functions Jacobi polynomials Legendre function Bessel function |
| url | https://www.worldscientific.com/doi/10.1142/S2661335224500072 |
| work_keys_str_mv | AT sachinkumar investigationofsomefiniteintegralsincorporatingincompletealephfunctions AT manvendranarayanmishra investigationofsomefiniteintegralsincorporatingincompletealephfunctions AT ravishankerdubey investigationofsomefiniteintegralsincorporatingincompletealephfunctions AT rahulsharma investigationofsomefiniteintegralsincorporatingincompletealephfunctions |