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A new subclass <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mo>Σ</mo><mrow><mi>p</mi><mo>,</mo><mi>q</mi></mrow></msub><mrow><mo>(</mo><mi>α</mi><mo>,</mo><mi>A</mi><mo>,</mo><mi>B</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> of meromorphic multivalent functions is defined by means of a <i>q</i>-difference operator. Some properties of the functions in this new subclass, such as sufficient and necessary conditions, coefficient estimates, growth and distortion theorems, radius of starlikeness and convexity, partial sums and closure theorems, are investigated.