Reprint

New Developments in Geometric Function Theory II

Edited by
April 2024
214 pages
  • ISBN978-3-7258-0816-8 (Hardback)
  • ISBN978-3-7258-0815-1 (PDF)

This is a Reprint of the Special Issue New Developments in Geometric Function Theory II that was published in

Computer Science & Mathematics
Physical Sciences
Summary

This project aimed to gather together the latest developments in research concerning complex-valued functions from the perspective of geometric function theory. Scholars’ contributions were sought on topics including, but not limited to: new classes of univalent and bi-univalent functions; studies regarding coefficient estimates including the Fekete–Szego functional, Hankel determinants, and Toeplitz matrices; applications of different types of operators in geometric function theory including differential, integral, fractional, or quantum calculus operators; differential subordination and superordination theories in their classical form and also concerning their recent extensions—strong and fuzzy differential subordination and superordination theories; applications of different hypergeometric functions and orthogonal polynomials in geometric function theory. The presentation of new results obtained by using any other techniques which can be applied in the field of complex analysis were also welcomed. Hopefully, through this project, new lines of research associated with geometric function theory have been highlighted and will serve to boost development in this field.

Format
  • Hardback
License and Copyright
© 2024 by the authors; CC BY-NC-ND license
Keywords
analytic function; starlike function; convex function; univalent function; Gegenbauer polynomials; Bell numbers; sigmoid function; fekete-Szegö problem; horadam polynomials; bi-univalent functions; bell distribution; analytic functions; product; log-harmonic function; convex-exponent combination; starlike and spirallike functions; quantum calculus; q-series; q-Lidstone polynomials; completely convex functions; bi-univalent function; Fekete-Szegö problem; coefficient bound; Laguerre polynomial; (p,q)-Wanas operator; subordination; analytic function; univalent functions; bi-univalent functions; Faber polynomial; q- derivative operator; quantum calculus; analytic functions; Miller–Ross functions; univalence; convexity; special functions; univalent functions; integral operators; quantum (or q-) calculus; analytic functions; q-derivative operator; bi-univalent functions; Faber polynomial expansions; harmonic; univalent functions; harmonic starlike; harmonic convex; Mittag-Leffler function; starlike functions; subordination; Bernoulli’s number of second kind; radii problems; inclusion results; coefficient bounds; Hankel determinants; univalent functions; analytic functions; bi-univalent functions; binomial series; convolution operator; involution numbers; coefficient bounds; regular; subordination; Fekete–Szegö inequality; bi-univalent; analytic and univalent function; bi-univalent function; coefficient estimates; subordination; admissible function; analytic function; strong differential subordination; dominants; multivalent function; n/a

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