New subclasses of analytic functions associated with the q-Bernardi integral operator and special number sequences

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan

2 Department of Mathematics, National University of Modern Languages, H-9 Islamabad, Pakistan

Abstract

This paper introduces two subclasses of analytic functions associated with the q-Bernardi integral operator. These subclasses are defined by using the q-derivative together with special functions whose coefficients are Bernoulli numbers and generalized telephone numbers. We establish inclusion-type results for the proposed classes and investigate the corresponding quasi-subordination and majorization problems. In particular, sufficient radius conditions are obtained under which the q-derivatives of majorized functions satisfy the required comparison inequalities. 

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References

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Journal of Hyperstructures

Articles in Press, Accepted Manuscript
Available Online from 20 June 2026

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