Meromorphic solutions of some non-linear $q$-shift difference equations
Renukadevi S. Dyavanal, Jyoti B. Muttagi, N. Shilpa
Abstract
Renukadevi S. Dyavanal, Jyoti B. Muttagi, N. Shilpa
Abstract
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.
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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.
Key concepts: Meromorphic function, Mathematics, Transcendental number, Nevanlinna theory, Transcendental function, Class (philosophy), Pure mathematics, Differential equation