The sigmoid function in geometric function theory

Abstract: Geometric Function Theory (GFT) is a branch of complex analysis which studies geometric properties of analytic functions. Moreover, in spite of the famous coefficient problems, Bieberbach conjecture that was solved by Louis de Branges in 1984 suggested various approaches and directions for study in geometric function theory. Therefore, one of the major interests in GFT is finding the coefficient bounds of univalent and multivalent functions. The bounds determine the growth, distortion properties among others of the analytic functions. Special functions are of great interest in mathematics, mathematical physics, engineering and other fields of science. They are rich in terms of practical applications in solving a wide range of problems. Recently, we investigate special functions in geometric function theory. In particular, the connection between sigmoid function and geometric function theory was established.

complex variables

Audience: researchers in the topic

CAvid: Complex Analysis video seminar

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