On the comparative growth analysis of solutions of complex linear differential equations with entire and meromorphic coefficients of $\left[ p,q\right] -\varphi $ order | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 175، دوره 13، شماره 2، مهر 2022، صفحه 2175-2183 اصل مقاله (423.54 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22306.2348 | ||
| نویسندگان | ||
| Ravi Agarwal1؛ Sanjib Kumar Datta2؛ Nityagopal Biswas* 3؛ Samten Tamang4، 5 | ||
| 1Department of Mathematics, Texas A & M University - Kingsville, 700 University Blvd., MSC 172, Kingsville, Texas 78363-8202, USA | ||
| 2Department of Mathematics, University of Kalyani, Kalyani, Dist.: Nadia, PIN: 741235, West Bengal, India | ||
| 3Department of Mathematics, Chakdaha College, Chakdaha, Nadia, Pin: 741222, West Bengal, India | ||
| 4Raja Rammohunpur, N.B.U., District-Darjeeling, PIN-734013, West Bengal, India | ||
| 5Formerly:Department of Mathematics, The University of Burdwan, Golapbag, Burdwan, Pin - 713104, West Bengal, India | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Entire function؛ Meromorphic function؛ q]-\varphi $ order؛ $[p؛ q]-\varphi $ exponent of convergence؛ Linear differential equations | ||
| مراجع | ||
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