Abstract
Consider a linear q-difference equation: a(z)f(z) = b(z)f(qz) + c(z), 0 q| a(z), b(z), c(z) ∈ C[z]. We suppose that it admits a transcendental meromorphic solution f (z). Here we will determine the counting function N(r, f), and investigate the deficiency property of f (z). Finally, we give some examples.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.