On basic Horn hypergeometric functions \(\mathbf{H}_{3}\) and \(\mathbf{H}_{4}\)

[摘要] The purpose of this work is to demonstrate several interesting contiguous function relations and q-differential formulas for basic Horn hypergeometric functions$\mathbf{H}_{3}$ and$\mathbf{H}_{4}$ . Some properties of our main results are also constructed.

[学科分类] 航空航天科学

[关键词] Quantum calculus;q -basic Horn hypergeometric functions;Contiguous relations;q -derivatives