Two Inequalities for rφr and Applications
نویسندگان
چکیده
q-series, which is also called basic hypergeometric series, plays a very important role in many fields, such as affine root systems, Lie algebras and groups, number theory, orthogonal polynomials, physics, and so on. Inequality technique is one of the useful tools in the study of special functions. There are many papers about it 1–6 . In 1 , the authors gave some inequalities for hypergeometric functions. In this paper, we derive two inequalities for the basic hypergeometric series rφr , which can be used to study the convergence of q-series. The main results of this paper are the following two inequalities.
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