On growth properties of transcendental meromorphic solutions of linear differential equations with entire coefficients of higher order
Commun. Korean Math. Soc. 2019 Vol. 34, No. 4, 1245-1259
Published online October 31, 2019
Nityagopal Biswas, Sanjib Kumar Datta, Samten Tamang
University of Kalyani; University of Kalyani; The University of Burdwan
Abstract : In the paper, we study the growth properties of meromorphic solutions of higher order linear differential equations with entire coefficients of $ \left[ p,q\right] -\varphi $ order, $\varphi $ being a non-decreasing unbounded function and establish some new results which are improvement and extension of some previous results due to Hamani-Belaidi, He-Zheng-Hu and others.
Keywords : linear differential equations, meromorphic function, $[p,q]$-order, non-decreasing unbounded function
MSC numbers : 34M10, 30D35
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