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New Results for Some Generalizations of Starlike and Convex Functions

New Results for Some Generalizations of Starlike and Convex Functions

The purpose of the current paper is to investigate several various problems for the categories <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:msub><mml:mrow><mml:mi mathvariant="script">S</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:mrow><mml:mrow><mml:mi>L</mml:mi></mml:mrow></mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:mfenced><mml:mo>,</mml:mo><mml:msubsup><mml:mrow><mml:mi mathvariant="script">S</mml:mi></mml:mrow><mml:mrow><mml:mtext>N</mml:mtext><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>∗</mml:mo></mml:mrow></mml:msubsup></mml:math>, and other related categories such as various new outcomes for the coefficients of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mi>f</mml:mi></mml:math>, together with majorization issues, the Hankel determinant, and the logarithmic coefficients …