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The book contains papers published in the Mathematics Special Issue, entitled "Geometrical Theory of Analytic Functions". Fifteen papers devoted to the study concerning complex-valued functions of one variable present new outcomes related to special classes of univalent functions, differential equations in view of geometric function theory, quantum calculus and its applications in geometric function theory, operators and special functions associated with differential subordination and superordination theories and starlikeness, and convexity criteria.

Research & information: general --- Mathematics & science --- univalent function --- conformable fractional derivative --- subordination and superordination --- analytic function --- open unit disk --- bi-univalent functions --- Hadamard (convolution) product --- coefficients bounds --- q-derivative operator --- differential subordination --- lacunary function --- gap function --- centered polygonal numbers --- natural boundary --- singularities --- broom topology --- convex function --- starlike function --- dominant --- best dominant --- analytic functions --- univalent functions --- Taylor–Maclaurin series --- holomorphic function --- p-valent function --- convolution product --- ξ-Generalized Hurwitz–Lerch Zeta function --- admissible functions --- strongly close-to-convex functions --- starlike functions --- meromorphic strongly starlike functions --- Sălăgean integral and differential operator --- coefficient bounds --- Fekete–Szegő problem --- Janowski functions --- subordination --- cosine hyperbolic function --- q-difference operator --- subordinating factor sequence --- bounded analytic functions of complex order --- q-generalized linear operator --- Painlevé differential equation --- symmetric solution --- asymptotic expansion --- symmetric conjugate points --- horadam polynomial --- Fekete–Szegö problem --- differential superordination --- harmonic function --- subordinant --- best subordinant --- meromorphic functions --- Hurwitz–Lerch Zeta-function --- Riemann zeta function --- differential inclusions --- differential containments --- differential inequalities --- differential subordinations --- univalent function --- conformable fractional derivative --- subordination and superordination --- analytic function --- open unit disk --- bi-univalent functions --- Hadamard (convolution) product --- coefficients bounds --- q-derivative operator --- differential subordination --- lacunary function --- gap function --- centered polygonal numbers --- natural boundary --- singularities --- broom topology --- convex function --- starlike function --- dominant --- best dominant --- analytic functions --- univalent functions --- Taylor–Maclaurin series --- holomorphic function --- p-valent function --- convolution product --- ξ-Generalized Hurwitz–Lerch Zeta function --- admissible functions --- strongly close-to-convex functions --- starlike functions --- meromorphic strongly starlike functions --- Sălăgean integral and differential operator --- coefficient bounds --- Fekete–Szegő problem --- Janowski functions --- subordination --- cosine hyperbolic function --- q-difference operator --- subordinating factor sequence --- bounded analytic functions of complex order --- q-generalized linear operator --- Painlevé differential equation --- symmetric solution --- asymptotic expansion --- symmetric conjugate points --- horadam polynomial --- Fekete–Szegö problem --- differential superordination --- harmonic function --- subordinant --- best subordinant --- meromorphic functions --- Hurwitz–Lerch Zeta-function --- Riemann zeta function --- differential inclusions --- differential containments --- differential inequalities --- differential subordinations