Differentiating under $q$-integral sign
The Leibniz integral rule enables us to interchange the order of differentiation and integration under some differentiability conditions on the functions. It can be very useful in the computing the exact value of certain integrals. In this paper, we will present analogs of such rule for $q$-integrals with functional borders and their properties.
Authors
- Predrag M. Rajković (ORCID: https://orcid.org/0000-0002-2914-0985)
- Sladjana D. Marinković (ORCID: https://orcid.org/0000-0002-7752-4393)
Institutions
- University of Nis (RS)
Publication Details
- Journal
- Hacettepe Journal of Mathematics and Statistics
- Published
- 2025-01-27
- DOI
- https://doi.org/10.15672/hujms.1406520
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja