New subclass of analytic functions defined by $ q $-analogue of $ p $-valent Noor integral operator

Ibtisam Aldawish; Mohamed Aouf; Basem Frasin; Tariq Al-Hawary; Ibtisam Aldawish; Mohamed Aouf; Basem Frasin; Tariq Al-Hawary

doi:10.3934/math.2021607

AIMS Mathematics

2021, Volume 6, Issue 10: 10466-10484. doi: 10.3934/math.2021607

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Research article

New subclass of analytic functions defined by $ q $-analogue of $ p $-valent Noor integral operator

1.
Mathematics and Statistics Department, College of Science, IMSIU (Imam Mohammad Ibn Saud Islamic University), Riyadh 11623, Saudi Arabia
2.
Department of Mathematics, Faculty of Science, Mansoura University, 35516, Egypt
3.
Faculty of Science, Department of Mathematics, AL AL-Bayt University Mafraq, Jordon
4.
Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816, Jordan

Received: 29 March 2021 Accepted: 07 July 2021 Published: 19 July 2021
MSC : 30C45

In this paper, we introduce a certain subclass of analytic functions associated with $ q $-analogue of $ p $-valent Noor integral operator in the open unit disc. A variety of useful properties for this subclass are investigated including coefficient estimates and the familiar Fekete-Szeg ö type inequalities. Several known sequences of the main results are also highlighted.
- analytic functions,
- $ p $-valent functions,
- $ q $-analogue, $ q $-derivative,
- $ q $-difference operator,
- Hadamard product (or convolution)
Citation: Ibtisam Aldawish, Mohamed Aouf, Basem Frasin, Tariq Al-Hawary. New subclass of analytic functions defined by $ q $-analogue of $ p $-valent Noor integral operator[J]. AIMS Mathematics, 2021, 6(10): 10466-10484. doi: 10.3934/math.2021607

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Abstract

In this paper, we introduce a certain subclass of analytic functions associated with $ q $-analogue of $ p $-valent Noor integral operator in the open unit disc. A variety of useful properties for this subclass are investigated including coefficient estimates and the familiar Fekete-Szeg ö type inequalities. Several known sequences of the main results are also highlighted.

References

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