| Summary: | This study deals with analytic functions with bounded turnings, defined in the disk <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>O</mi><mi>d</mi></msub><mo>=</mo><mfenced separators="" open="{" close="}"><mi>z</mi><mo>:</mo><mfenced open="|" close="|"><mi>z</mi></mfenced><mo><</mo><mn>1</mn></mfenced></mrow></semantics></math></inline-formula>. These functions are subordinated by sigmoid function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mfrac><mn>2</mn><mrow><mn>1</mn><mo>+</mo><msup><mi>e</mi><mrow><mo>−</mo><mi>z</mi></mrow></msup></mrow></mfrac></semantics></math></inline-formula> and their class is denoted by <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="fraktur">BT</mi><mi mathvariant="fraktur">Sg</mi></msub></semantics></math></inline-formula>. Sharp coefficient inequalities, including the third Hankel determinant for class <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="fraktur">BT</mi><mi mathvariant="fraktur">Sg</mi></msub></semantics></math></inline-formula>, were investigated here. The same was also included for the logarithmic coefficients related to functions of the class <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="fraktur">BT</mi><mi mathvariant="fraktur">Sg</mi></msub></semantics></math></inline-formula>.
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