وثيقة

On Gaussian Hypergeometric Functions of Three Variables : Some New Integral Representations

مؤلف
وكيل مرتبط
Shahwan , M.J.S, مؤلف مشارك
Younis , J.A, مؤلف مشارك
Aydi , H, مؤلف مشارك
Abd El Salam , M.A, مؤلف مشارك
عنوان الدورية
Journal of Mathematics
دولة النشر
Kingdom of Bahrain
مكان النشر
Sakhir, Bahrain
الناشر
University of Bahrain
تاريخ النشر
2022
اللغة
الأنجليزية
الملخص الإنجليزي
Abstract: The present paper establishes several new integral representations of the Euler type and Laplace type for some Gauss hypergeometric functions of three variables. The main results are obtained by using the properties of Gamma and beta functions. The novel integral representations are carried out through ten hypergeometric functions of three variables. Therefore, all derived integrals are generalization representation of the Euler type for the classical Gauss hypergeometric function of one and two variables. In addition, several numerical examples were given to describe some of the obtained results.
المجموعة
المعرف
https://digitalrepository.uob.edu.bh/id/f451f94a-59e7-4184-8ae3-c58a88418c4c