Initial coefficients for generalized subclasses of bi-univalent functions defined with subordination

Gagandeep Singh; Gurcharanjit Singh; Gurmeet Singh

Archivum Mathematicum (2022)

  • Volume: 058, Issue: 2, page 105-113
  • ISSN: 0044-8753

Abstract

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This paper is concerned with certain generalized subclasses of bi-univalent functions defined with subordination in the open unit disc E = z : ∣ z ∣ < 1 . The bounds for the initial coefficients for the functions in these classes are studied. The earlier known results follow as special cases.

How to cite

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Singh, Gagandeep, Singh, Gurcharanjit, and Singh, Gurmeet. "Initial coefficients for generalized subclasses of bi-univalent functions defined with subordination." Archivum Mathematicum 058.2 (2022): 105-113. <http://eudml.org/doc/298325>.

@article{Singh2022,
abstract = {This paper is concerned with certain generalized subclasses of bi-univalent functions defined with subordination in the open unit disc $E=\left\rbrace z:\mid z \mid <1\right\lbrace $. The bounds for the initial coefficients for the functions in these classes are studied. The earlier known results follow as special cases.},
author = {Singh, Gagandeep, Singh, Gurcharanjit, Singh, Gurmeet},
journal = {Archivum Mathematicum},
keywords = {coefficient estimates; analytic functions; univalent functions; bi-univalent functions; generalized Sãlãgean operator; subordination},
language = {eng},
number = {2},
pages = {105-113},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Initial coefficients for generalized subclasses of bi-univalent functions defined with subordination},
url = {http://eudml.org/doc/298325},
volume = {058},
year = {2022},
}

TY - JOUR
AU - Singh, Gagandeep
AU - Singh, Gurcharanjit
AU - Singh, Gurmeet
TI - Initial coefficients for generalized subclasses of bi-univalent functions defined with subordination
JO - Archivum Mathematicum
PY - 2022
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 058
IS - 2
SP - 105
EP - 113
AB - This paper is concerned with certain generalized subclasses of bi-univalent functions defined with subordination in the open unit disc $E=\left\rbrace z:\mid z \mid <1\right\lbrace $. The bounds for the initial coefficients for the functions in these classes are studied. The earlier known results follow as special cases.
LA - eng
KW - coefficient estimates; analytic functions; univalent functions; bi-univalent functions; generalized Sãlãgean operator; subordination
UR - http://eudml.org/doc/298325
ER -

References

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  14. Singh, Gagandeep, Coefficient estimates for bi-univalent functions with respect to symmetric points, J. Nonlinear Func. Anal. 1 (2013), 1–9, Article ID 2013. (2013) 
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  17. Singh, Gurmeet, Singh, Gagandeep, Singh, Gurcharanjit, Certain subclasses of univalent and bi-univalent functions related to shell-like curves connected with Fibonacci numbers, Gen. Math. 28 (1) (2020), 1258–140. (2020) MR3962610
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