Certain subclass of alpha-convex bi-univalent functions defined using q -derivative operator

Gagandeep Singh; Gurcharanjit Singh

Archivum Mathematicum (2025)

  • Issue: 2, page 63-72
  • ISSN: 0044-8753

Abstract

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The present investigation deals with a new subclass of alpha-convex bi-univalent functions in the unit disc E = z : ∣ z ∣ < 1 defined with q -derivative operator. Bounds for the first two coefficients and Fekete-Szegö inequality are established for this class. Many known results follow as consequences of the results derived here.

How to cite

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Singh, Gagandeep, and Singh, Gurcharanjit. "Certain subclass of alpha-convex bi-univalent functions defined using $q$-derivative operator." Archivum Mathematicum (2025): 63-72. <http://eudml.org/doc/299988>.

@article{Singh2025,
abstract = {The present investigation deals with a new subclass of alpha-convex bi-univalent functions in the unit disc $E=\left\rbrace z\colon \mid z \mid <1\right\lbrace $ defined with $q$-derivative operator. Bounds for the first two coefficients and Fekete-Szegö inequality are established for this class. Many known results follow as consequences of the results derived here.},
author = {Singh, Gagandeep, Singh, Gurcharanjit},
journal = {Archivum Mathematicum},
keywords = {analytic functions; bi-univalent functions; alpha-convex functions; coefficient bounds; Fekete-Szegö inequality; $q$-derivative; subordination},
language = {eng},
number = {2},
pages = {63-72},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Certain subclass of alpha-convex bi-univalent functions defined using $q$-derivative operator},
url = {http://eudml.org/doc/299988},
year = {2025},
}

TY - JOUR
AU - Singh, Gagandeep
AU - Singh, Gurcharanjit
TI - Certain subclass of alpha-convex bi-univalent functions defined using $q$-derivative operator
JO - Archivum Mathematicum
PY - 2025
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
IS - 2
SP - 63
EP - 72
AB - The present investigation deals with a new subclass of alpha-convex bi-univalent functions in the unit disc $E=\left\rbrace z\colon \mid z \mid <1\right\lbrace $ defined with $q$-derivative operator. Bounds for the first two coefficients and Fekete-Szegö inequality are established for this class. Many known results follow as consequences of the results derived here.
LA - eng
KW - analytic functions; bi-univalent functions; alpha-convex functions; coefficient bounds; Fekete-Szegö inequality; $q$-derivative; subordination
UR - http://eudml.org/doc/299988
ER -

References

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