q -Generalized Linear Operator on Bounded Functions of Complex Order

Rizwan Salim Badar and Khalida Inayat Noor
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Rizwan Salim Badar: Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan
Khalida Inayat Noor: Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan

Mathematics, 2020, vol. 8, issue 7, 1-14

Abstract: This article presents a q -generalized linear operator in Geometric Function Theory (GFT) and investigates its application to classes of analytic bounded functions of complex order S q ( c ; M ) and C q ( c ; M ) where 0 < q < 1 , 0 ≠ c ∈ C , and M > 1 2 . Integral inclusion of the classes related to the q -Bernardi operator is also proven.

Keywords: q -difference operator; subordinating factor sequence; bounded analytic functions of complex order; q -generalized linear operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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