A study of the k-Horn's hypergeometric function H9,k.

Autor: Metwally, M. S., Upadhyaya, Lalit Mohan, Abo-Hasha, S., Hamza, Karima
Předmět:
Zdroj: Bulletin of Pure & Applied Sciences-Mathematics; Jul-Dec2023, Vol. 42E Issue 2, p126-142, 17p
Abstrakt: In this paper, we introduce the k-Horn's hypergeometric function H9,k and we investigate its limit formulas, integral representations, differentiation formulas, infinite sums, recursion formulas, the Laplace, Mellin, fractional Fourier, double Laplace and double Mellin transforms for the k-Horn's hypergeometric function H9,k. Finally, we discuss the fractional integration and the k-fractional differentiation. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index