A new class of (j; k)-symmetric harmonic starlike functions

Authors

  • Fuad AL SARARI Department of Studies in Mathematics Manasagangotri, University of Mysore Mysore 570 006, India e-mail: alsrary@yahoo.com or alsrary@gmail.com
  • Latha SATYANARAYANA Department of Mathematics Yuvaraja's College, University of Mysore Mysore 570 005, INDIA e-mail: drlatha@gmail.com

Keywords:

(j; k)-Symmetric functions, harmonic functions.

Abstract

Using the concepts of (j; k)-symmetrical functions we define the class of sense-preserving harmonic univalent functions SHj;ks (β), and prove certain interesting results.

Mathematics Subject Classification (2010): 30C45.

References

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Ahuja, O.P., Jahangiri, J.M., Sakaguchi-type harmonic univalent functions, Scientiae Mathematicae Japonicae, 59(1)(2004), 239-244.

Clunie, J., Shell-Small, T., Harmonic univalent functions, Ann. Acad. Aci. Fenn. Ser. A I Math., 9(1984), 3-25.

Jahangiri, J.M, Harmonic functions starlike in the unit disk, Journal of Mathematical Analysis and Applications, 235(2)(1999), 470-477.

Liczberski, P., Polubinski, J., On (j; k)-symmtrical functions, Mathematica Bohemica, 120(1995), 13-25.

Shell-Small, T., Constants for planar harmonic mapping, J. London. Math. Soc., 42(2)(1990), 237-248.

Silverman, H., Harmonic univalent functions with negative coe_cients, Journal of Mathematical Analysis and Applications, 220(1)(1998), 283-289.

Silverman, H., Silvia, E.M., Subclasses of harmonic univalent functions, The New Zealand Journal of Mathematics, 28(2)(1999), 275-284.

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Published

2015-12-30

How to Cite

AL SARARI, F., & SATYANARAYANA, L. (2015). A new class of (j; k)-symmetric harmonic starlike functions. Studia Universitatis Babeș-Bolyai Mathematica, 60(4), 553–559. Retrieved from https://studia.reviste.ubbcluj.ro/index.php/subbmathematica/article/view/5832

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