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Value Distribution and Uniqueness Results of Zero-Order Meromorphic Functions to Their<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:math>-Shift

Value Distribution and Uniqueness Results of Zero-Order Meromorphic Functions to Their<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:math>-Shift

We investigate value distribution and uniqueness problems of meromorphic functions with their q ‐shift. We obtain that if f is a transcendental meromorphic (or entire) function of zero order, and Q ( z ) is a polynomial, then a f n ( q z ) + f ( z ) …