International Journal of Nonlinear Analysis and Applications
On the comparative growth analysis of solutions of complex linear differential equations with entire and meromorphic coefficients of $\left[ p,q\right] -\varphi $ order
Document Type : Research Paper
Authors
1 Department of Mathematics, Texas A & M University - Kingsville, 700 University Blvd., MSC 172, Kingsville, Texas 78363-8202, USA
2 Department of Mathematics, University of Kalyani, Kalyani, Dist.: Nadia, PIN: 741235, West Bengal, India
3 Department of Mathematics, Chakdaha College, Chakdaha, Nadia, Pin: 741222, West Bengal, India
4 Raja Rammohunpur, N.B.U., District-Darjeeling, PIN-734013, West Bengal, India
5 Formerly:Department of Mathematics, The University of Burdwan, Golapbag, Burdwan, Pin - 713104, West Bengal, India
Abstract
Let $\varphi $ be a non-decreasing unbounded function and $p,q$ be any two positive integers with $p\geq q\geq 1.$ The relations between the growth of entire or meromorphic coefficients and the growth of entire or meromorphic solutions of general complex linear differential equation with entire or meromorphic coefficients of finite $\left[ p,q\right] $-$\varphi $ order are investigated in this paper. Improving and extending some earlier results of J. Liu, J. Tu, L.Z. Shi, L.M. Li, T.B. Cao and others, we obtain some more results here.
Keywords
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Volume 13, Issue 2
July 2022Pages 2175-2183
- Receive Date: 04 January 2021
- Revise Date: 20 January 2021
- Accept Date: 29 July 2021