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On a Length Problem for Univalent Functions

Author

Listed:
  • Mamoru Nunokawa

    (Department of Mathematics, Gunma University, Hoshikuki-cho 798-8, Chuou-Ward, Chiba 260-0808, Japan)

  • Janusz Sokół

    (Faculty of Mathematics and Natural Sciences, University of Rzeszów, 1 Prof. St. Pigoń Street, 35-310 Rzeszów, Poland)

  • Nak Eun Cho

    (Department of Applied Mathematics, College of Natural Sciences, Pukyong National University, Pusan 608-737, Korea)

Abstract

Let g be an analytic function with the normalization in the open unit disk. Let L ( r ) be the length of g ( { z : | z | = r } ) . In this paper we present a correspondence between g and L ( r ) for the case when g is not necessary univalent. Furthermore, some other results related to the length of analytic functions are also discussed.

Suggested Citation

  • Mamoru Nunokawa & Janusz Sokół & Nak Eun Cho, 2018. "On a Length Problem for Univalent Functions," Mathematics, MDPI, vol. 6(11), pages 1-8, November.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:11:p:266-:d:183867
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