Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  investigate the growth of meromorphic solutions of higher order linear differential equation \({f^{( k) }+A_{k-1}( z)e^{P_{k-1}( z) }f^{( k-1)}+\cdots+A_{1}( z) e^{P_{1}( z) }f'+A_{0}( z)e^{P_{0}( z) }f=0 ( k\geq 2)}\) , where \({P_{j}( z) ( j=0,1,\cdots,k-1)}\) are nonconstant polynomials such that deg \({P_{j}=n ( j=0,1,\cdots,k-1)}\) and \({A_{j}( z) (\not\equiv 0) ( j=0,1,\cdots,k-1)}\) are meromorphic functions with order \({\rho ( A_{j}) < n ( j=0,1,\cdots,k-1) }\).
['Benharrat Belaïdi']
I am writing a research paper on a idea ON THE MEROMORPHIC SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS
[{"from": "human", "value": "I am writing a research paper on a idea ON THE MEROMORPHIC SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  investigate the growth of meromorphic solutions of higher order linear differential equation \\({f^{( k) }+A_{k-1}( z)e^{P_{k-1}( z) }f^{( k-1)}+\\cdots+A_{1}( z) e^{P_{1}( z) }f'+A_{0}( z)e^{P_{0}( z) }f=0 ( k\\geq 2)}\\) , where \\({P_{j}( z) ( j=0,1,\\cdots,k-1)}\\) are nonconstant polynomials such that deg \\({P_{j}=n ( j=0,1,\\cdots,k-1)}\\) and \\({A_{j}( z) (\\not\\equiv 0) ( j=0,1,\\cdots,k-1)}\\) are meromorphic functions with order \\({\\rho ( A_{j}) < n ( j=0,1,\\cdots,k-1) }\\)."}]