Inequalities for gamma and q-gamma functions of complex arguments
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DOI: 10.1142/s0219530516500093
Abstract: We prove that the function Γ(x + a)Γ(x + b)/|Γ(x + c + iy)|2,a + b = 2c, and its q-analogue are of the form e−h(x,y) and h is completely monotonic in x. In particular… read more here.
Keywords: gamma functions; functions complex; complex arguments; inequalities gamma ... See more keywords