Abstract
This paper is devoted to the global behavior of solutions of the nth order differential equation
Here, m is an arbitrary positive integer. The variable z and the constants a n , b n a n-1 ,b n-1 and a k ,b k ,c k (k = 0,1,2,…,n – 2) are complex with a n ≠ 0, b n ≠ 0, c n–2 ≠ 0. We shall also assume that the difference of no two roots of the indicial equation about the regular singular part z = 0 is congruent to zero module m.
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Puttaswamy, T.K. (2001). Global Behavior of Solutions of a Certain Nth Order Differential Equation in the Vicinity of an Irregular Singular Point. In: Vajravelu, K. (eds) Differential Equations and Nonlinear Mechanics. Mathematics and Its Applications, vol 528. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0277-3_19
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