On the transcendental meromorphic solutions of a certain class of differential equations
Journal Title: Математичні Студії - Year 2019, Vol 51, Issue 2
Abstract
In this paper we consider the differential equation F(k)−a2=eγ{α(F−a1)+β}, where ai(z),α(z)(≢0,∞), β(z)(≢∞), i=1,2 are small functions of F, γ is an entire function and k∈N. Let f be a transcendental meromorphic function such that N(r,∞;f)=S(r,f) and n∈N such that n≥k+1. If F=fn is a solution of the above differential equation, then F(k)≡a2αa1α−βF. Also we exhibit an example to fortify the condition of our result.
Authors and Affiliations
S. Majumder, A. Dam
Keywords
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- EP ID EP609509
- DOI 10.15330/ms.51.2.130-142
- Views 51
- Downloads 0
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