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New Trends in Geometric Function Theory

In: Exploring Mathematical Analysis, Approximation Theory, and Optimization

Author

Listed:
  • Khalida Inayat Noor

    (COMSATS University Islamabad)

  • Mohsan Raza

    (Government College University Faisalabad)

Abstract

This chapter is a comprehensive survey about the study and recent developments in the area of geometric function theory. The definitions of certain classes of analytic functions are given in a unified and generalized form. Basic properties, necessary conditions, distortion and coefficient results together with the Fekete-Szego and Hankel determinant problems are highlighted. Certain linear operators and the use of q-calculus in this area are also included.

Suggested Citation

  • Khalida Inayat Noor & Mohsan Raza, 2023. "New Trends in Geometric Function Theory," Springer Optimization and Its Applications, in: Nicholas J. Daras & Michael Th. Rassias & Nikolaos B. Zographopoulos (ed.), Exploring Mathematical Analysis, Approximation Theory, and Optimization, pages 199-235, Springer.
    • Handle: RePEc:spr:spochp:978-3-031-46487-4_12
    DOI: 10.1007/978-3-031-46487-4_12
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