Geometrical Theory of Analytic Functions

• Format: eBook
• Language: English
• Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2022
• Subjects: admissible functions; analytic function; analytic functions; asymptotic expansion; best dominant; best subordinant; bi-univalent functions; bounded analytic functions of complex order; broom topology; centered polygonal numbers; coefficient bounds; coefficients bounds; conformable fractional derivative; convex function; convolution product; cosine hyperbolic function; differential containments; differential inclusions; differential inequalities; differential subordination; differential subordinations; differential superordination; dominant; Fekete–Szegö problem; Fekete–Szegő problem; gap function; Hadamard (convolution) product; harmonic function; holomorphic function; horadam polynomial; Hurwitz–Lerch Zeta-function; Janowski functions; lacunary function; Mathematics and Science; meromorphic functions; meromorphic strongly starlike functions; natural boundary; open unit disk; p-valent function; Painlevé differential equation; q-derivative operator; q-difference operator; q-generalized linear operator; Reference, Information and Interdisciplinary subjects; Research and information: general; Riemann zeta function; singularities; starlike function; starlike functions; strongly close-to-convex functions; subordinant; subordinating factor sequence; subordination; subordination and superordination; symmetric conjugate points; symmetric solution; Sălăgean integral and differential operator; Taylor–Maclaurin series; univalent function; univalent functions; ξ-Generalized Hurwitz–Lerch Zeta function
• DOI: 10.3390/books978-3-0365-2499-3
• ISBN: 9783036524986; 3036524983; 9783036524993; 3036524991

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.