Meromorphic Parabolic Starlike Functions Associated with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:math>-Hypergeometric Series
Meromorphic Parabolic Starlike Functions Associated with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:math>-Hypergeometric Series
We introduce a new class of meromorphic parabolic starlike functions with a fixed point defined in the punctured unit disk <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:msup><mml:mrow><mml:mo>Δ</mml:mo></mml:mrow><mml:mrow><mml:mi>*</mml:mi></mml:mrow></mml:msup><mml:mo>≔</mml:mo></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mfenced open="{" close="}" separators="|"><mml:mrow><mml:mi>z</mml:mi><mml:mo>∈</mml:mo><mml:mi>ℂ</mml:mi><mml:mo>:</mml:mo><mml:mn>0</mml:mn><mml:mo><</mml:mo><mml:mfenced open="|" close="|" separators="|"><mml:mrow><mml:mi>z</mml:mi></mml:mrow></mml:mfenced><mml:mo><</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:mfenced></mml:math> involving the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4"><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:math>-hypergeometric functions. We obtained coefficient inequalities, growth and distortion inequalities, and closure results for functions …