A generalized form to some classes of special functions with applications

Authors

I. L. El-Kalla, Mathematics & Engineering Physics Department, Faculty of Engineering, Mansoura University, P.O. 35516, Mansoura, EgyptFollow
R. A. Abd El-Monem, Mathematics & Engineering Physics Department, Faculty of Engineering, Mansoura University, P.O. 35516, Mansoura, Egypt

Subject Area

Mathematics and Engineering Physics

Article Type

Original Study

Abstract

Based on El-Kalla expansion theorem in [1], this paper introduces a new form of special function. Through this new form, some new results are obtained and the results in the literature are confirmed. The new function is simple in computations, and it could be used to solve some classes of integral equations.

Keywords

special functions; series representations; Integral equations.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.

Recommended Citation

El-Kalla, I. L. and El-Monem, R. A. Abd (2025) "A generalized form to some classes of special functions with applications," Mansoura Engineering Journal: Vol. 50 : Iss. 4 , Article 7.
Available at: https://doi.org/10.58491/2735-4202.3286