Univalent Functions and Applications

Hemant Kumar Pathak ()
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Hemant Kumar Pathak: Pt. Ravishankar Shukla University, School of Studies in Mathematics

Chapter Chapter 14 in Complex Analysis and Applications, 2019, pp 859-888 from Springer

Abstract: Abstract In this chapter, we discuss univalent functions and their associated property. To effect this, first we shall introduce the class $$\mathscr {S}$$ and discuss some related theorems. Then we shall state Bierbach’s conjecture and finally the chapter culminates with the proof of “ $$\frac{1}{4}$$ - theorem” with an interesting application.

Date: 2019
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DOI: 10.1007/978-981-13-9734-9_14

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