New subclasses of bi-univalent functions involving polylogarithm functions

Saibah Siregar, Maslina Darus

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In the present paper, we introduce two new subclasses of the function class Σ of bi-univalent functions involving polylogarithm functions defined in the open unit disc U=:{z:zεC,|z|<1}. The estimates on the coefficients the rest of this text. |a2| and |a3| for functions in these new subclasses of the function class Σ are obtained in our investigation.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
PublisherAmerican Institute of Physics Inc.
Pages893-898
Number of pages6
Volume1602
ISBN (Print)9780735412361
DOIs
Publication statusPublished - 2014
Event3rd International Conference on Mathematical Sciences, ICMS 2013 - Kuala Lumpur
Duration: 17 Dec 201319 Dec 2013

Other

Other3rd International Conference on Mathematical Sciences, ICMS 2013
CityKuala Lumpur
Period17/12/1319/12/13

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coefficients
estimates

Keywords

  • Analytic functions
  • Bi-univalent functions
  • Coefficients bounds
  • Univalent functions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Siregar, S., & Darus, M. (2014). New subclasses of bi-univalent functions involving polylogarithm functions. In AIP Conference Proceedings (Vol. 1602, pp. 893-898). American Institute of Physics Inc.. https://doi.org/10.1063/1.4882590

New subclasses of bi-univalent functions involving polylogarithm functions. / Siregar, Saibah; Darus, Maslina.

AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. p. 893-898.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Siregar, S & Darus, M 2014, New subclasses of bi-univalent functions involving polylogarithm functions. in AIP Conference Proceedings. vol. 1602, American Institute of Physics Inc., pp. 893-898, 3rd International Conference on Mathematical Sciences, ICMS 2013, Kuala Lumpur, 17/12/13. https://doi.org/10.1063/1.4882590
Siregar S, Darus M. New subclasses of bi-univalent functions involving polylogarithm functions. In AIP Conference Proceedings. Vol. 1602. American Institute of Physics Inc. 2014. p. 893-898 https://doi.org/10.1063/1.4882590
Siregar, Saibah ; Darus, Maslina. / New subclasses of bi-univalent functions involving polylogarithm functions. AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. pp. 893-898
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