In 2002 A. Hartmann and X. Massaneda obtained necessary and sufficient conditions for interpolation sequences for classes of analytic functions in the unit disc such that log M (r, f ) = O((1 − r) −ρ ), 0 < r < 1, ρ ∈ (0, +∞), where M (r, f ) = max{|f (z)| : |z| = r}. Using another method, we give an explicit construction of an interpolating function in this result. As an application we describe minimal growth of the coefficient a such that the equation f ′′ + a(z)f = 0 possesses a solution with a prescribed sequence of zeros.MathSubjClass 2010: 30C15, 30H05, 30H99, 30J99.

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