Find in Library

The aim of the present article is to introduce and investigate a new family <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="script">L</mi><mo>Σ</mo></msub><mrow><mo>(</mo><mi>δ</mi><mo>,</mo><mi>η</mi><mo>,</mo><mi>θ</mi><mo>,</mo><mi>t</mi><mo>;</mo><mi>h</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> of normalized holomorphic and bi-univalent functions that involve the Sakaguchi-type Bazilevič functions and Sakaguchi-type <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>θ</mi></semantics></math></inline-formula>-pseudo-starlike functions associated with Laguerre polynomials. We obtain estimates on the initial Taylor–Maclaurin coefficients and the Fekete–Szegö problem for functions in this family. Properties of symmetry can be studied for this newly family of functions.