Meromorphic solutions of some non-linear q-shift difference equations

R. S. Dyavanal, J. B. Muttagi and Shilpa N.

With the help of Nevanlinna theory, we investigate the existence of meromorphic solution of certain class of q-difference differential equations and consequently we are able to show that no transcendental meromorphic function with some conditions will satisfy such equations.

Tbilisi Mathematical Journal, Vol. 13(3) (2020), pp. 53-62