Developments of the I-Function Several Complex Variables
Article Sidebar
Published:
Mar 1, 2023
Keywords:
I-function, r-variables, Fox H-function, Bessel function, General polynomial class, Sine transform, Hermite polynomial, Cosine transform, Legendre polynomial, convergence
Main Article Content
Authors
Abstract
The purpose of this study is to present the I-function of r-variables, a natural extension of thepopular, intriguing, and practical Fox H-function. The results are quite generalized when r=1, at which pointwe get the I-function. Second, we showed that an integral is formed by multiplying the I-function of a singlevariable by the Bessel function and the General polynomial class. A two-variable I-function may be obtainedby evaluating the Sine transform of the product of the Hermite polynomial and Fox's H-function, and itsspecial case, the Cosine transform of the product of the Legendre polynomial and Fox's H-function. Wehave also provided exceptional examples, basic features, and circumstances under which convergenceoccurs. Results for H-functions in r variables are generalized in this study.
Downloads
Download data is not yet available.
Article Details
Section
Articles
References
- Rezepin, alexandr & amirova, taya & mishina, vera. (2017). The research of the production function of an industrial enterprise. Shs web of conferences. 35. 01038. 10.1051/shsconf/20173501038.
- Gerck, edgardo & gerck, ed. (2019). Overview of complex analysis and applications.
- Shadab, mohd & jabee, saima & choi, junesang. (2018). An extended beta function and its applications. Far east journal of mathematical sciences. 103. 235-251. 10.17654/ms103010235.
- Rachel webb, the abelian–nonabelian correspondence for i-functions, international mathematics research notices, volume 2023, issue 3, february 2023, pages 2592–2648,
- Guala, francesco & hindriks, frank. (2019). Institutions and functions. 10.1007/978-3-030-32618-0_2.
- Rachel webb, the abelian–nonabelian correspondence for i-functions, international mathematics research notices, volume 2023, issue 3, february 2023, pages 2592–2648,
- Abayatilake, pujani & blessing, lucienne. (2021). The application of function models in software design: a survey within the software community. International journal of software engineering. 9. 27-62.
- Balwani, mukesh & hiwase, prashant & agrawal, n. (2015). Application of function analysis for project elements. 1.
- Shadab, mohd & jabee, saima & choi, junesang. (2018). An extended beta function and its applications. Far east journal of mathematical sciences. 103. 235-251. 10.17654/ms103010235.
- Cusick, thomas & stănică, pante. (2017). Cryptographic boolean functions and applications: second edition.
- Tuong, hoa & moslehpour, massoud & hau, nguyen & huy, lam minh & wong, wing-keung. (2021). Applications of the theory of derivative in decision science and education. 24. 1-20. 10.6084/m9.figshare. 14931546.v1.
- Hofmann, peter & jöhnk, jan & protschky, dominik & urbach, nils. (2020). Developing purposeful ai use cases - a structured method and its application in project management.
- Gyöngyi, szanyi. (2019). "On the way" to the function concept - experiences of a teaching experiment. Teaching mathematics and computer science. 17. 17-39. 10.5485/tmcs.2019.0455.
- Leonhardt, daniel & haffke, ingmar & kranz, johann & benlian, alexander. (2017). Reinventing the it functions: the role of it agility and it ambidexterity in supporting digital business transformation.
- Rawash, hassan. (2014). Electronic management's contribution to the development of managerial functions. Academic research international. 5. 213-225.