A study of I-functions of two variables
Shantha Kumari. K., Vasudevan Nambisan T.M., Arjun K. Rathie
TL;DR
This paper introduces and develops the I-function of two variables, extending the concept from one variable, and explores its convergence, series representation, properties, and special cases.
Contribution
It is the first to define and analyze the I-function of two variables, providing foundational properties and conditions for its convergence and behavior.
Findings
Derived convergence conditions for the two-variable I-function
Provided series representation and elementary properties
Explored special cases and behavior for small values
Abstract
In our present investigation we propose to study and develop the I-function of two variables analogous to the I-function of one variable introduced and studied by one of the authors[24]. The conditions for convergence, series representation, behavior for small values, elementary properties and some special cases for the I-functions of two variables are also discussed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
Topicsadvanced mathematical theories · Fractional Differential Equations Solutions · Mathematical and Theoretical Analysis