2020Tbilisi Mathematical JournalRequires access

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

Renukadevi S. Dyavanal, Jyoti B. Muttagi, N. Shilpa

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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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What this paper is about

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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Available 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.

Key concepts: Meromorphic function, Mathematics, Transcendental number, Nevanlinna theory, Transcendental function, Class (philosophy), Pure mathematics, Differential equation

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