S˘al˘agean-type harmonic multivalent functions defined by q-difference operator

Authors

  • Om P. AHUJA Kent State University, Department of Mathematical Sciences, Ohio, 44021, U.S.A., e-mail: oahuja@kent.edu https://orcid.org/0000-0003-0701-6390
  • Asena ÇETINKAYA I˙stanbul Ku¨ltu¨r University, Department of Mathematics and Computer Sciences, I˙stanbul, Turkey, e-mail: asnfigen@hotmail.com
  • Oya MERT Oya MERT Namık Kemal University, Department of Mathematics, Tekirdag, Turkey, e-mail: oya mert88@hotmail.com https://orcid.org/0000-0002-8791-3341

DOI:

https://doi.org/10.24193/subbmath.2022.3.03

Keywords:

q−calculus, q−difference operator, Sălăgean differential operator, multivalent function.

Abstract

We introduce a new subclass of S˘al˘agean-type harmonic multivalent functions by using q−difference operator. We investigate sufficient coefficient estimates, distortion bounds, extreme points, convolution properties and neighborhood for the functions belonging to this function class.

Mathematics Subject Classification (2010): 30C50, 30C99, 81Q99.

Received 6 November 2019; Accepted 8 February 2020.

References

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Published

2022-09-20

How to Cite

AHUJA, O. P., ÇETINKAYA, A., & Oya MERT, O. M. (2022). S˘al˘agean-type harmonic multivalent functions defined by q-difference operator. Studia Universitatis Babeș-Bolyai Mathematica, 67(3), 489–499. https://doi.org/10.24193/subbmath.2022.3.03

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