Title: Hypergeometric Solutions of the A<sub>4</sub><sup>(1)</sup>-Surface q-Painlevé IV Equation
Abstract: We consider a q-Painlevé IV equation which is the A(1) 4 -surface type in the Sakai's classification.We find three distinct types of classical solutions with determinantal structures whose elements are basic hypergeometric functions.Two of them are expressed by 2 ϕ 1 basic hypergeometric series and the other is given by 2 ψ 2 bilateral basic hypergeometric series.