Properties of a Linear Operator Involving Lambert Series and Rabotnov Function
Properties of a Linear Operator Involving Lambert Series and Rabotnov Function
This work is an attempt to apply Lambert series in the theory of univalent functions. We first consider the Hadamard product of Rabotnov function and Lambert series with coefficients derived from the arithmetic function <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>σ</mml:mi><mml:mfenced open="(" close=")" separators="|"><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:mfenced></mml:math> to introduce a normalized linear operator <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mi mathvariant="script">J</mml:mi><mml:msub><mml:mrow><mml:mi …