The principal aim of this paper to study the recursion formulas for the Horns hypergeometric functions of three variables. Earlier in [Shehata, A.; and Moustafa, S.I. Some new results for Horn's hypergeometric functions ?1 and ?2. Journal of Mathematics and Computer Science, (2021), 23 (1), 26{35.], and Pathan et al. [Pathan, M.A.; Shehata, A.; and Moustafa, S.I. Certain new formulas for the Horns hypergeometric functions. Acta Uni-
versitatis Apulensis, (2020)] have studied the new results for Horns hypergeometric functions. Motivated by the above works here we will derive some contiguous relation for the families of Horn hypergeometric functions GA, GB, GC, GD and GC of three variables. After that we will establish the differential reclusion relations and dierential operators for GA, GB, GC, GD and GC of three variables, respectively.
ملخص البحث
قسم البحث
مجلة البحث
Proceedings of the Jangjeon Mathematical Society
تصنيف البحث
Q4
عدد البحث
24
موقع البحث
https://jangjeonopen.or.kr/public/upload/1619843945-pjms24-2-8.pdf
سنة البحث
2021
صفحات البحث
17