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Research Article

BOUNDS OF A SECOND HANKEL DETERMINANT FOR A NEW FAMILY OF ANALYTIC FUNCTIONS

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Anuradha Vishnoi Department of Mathematics, Janta Mahavidyalaya, Ajitmal - 206121, Auraiya, Uttar Pradesh, INDIA
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Arvind Kumar Sharma Department of Mathematics, Janta Mahavidyalaya, Ajitmal - 206121, Auraiya, Uttar Pradesh, INDIA
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Saurabh Porwal Department of Mathematics, Ram Sahai Rajkiya Mahavidhalaya, Bairi, Shivrajpur, Kanpur - 209205, Uttar Pradesh, INDIA
Volume 22, Issue 2 Pages 151-164 August 30, 2026 29 downloads
Article overview

Abstract

The main object of this research article is to obtain sharp upper bound of second Hankel determinant for a new family of analytic functions defined by $ q $-calculus. Relevant connections between the results presented here and various well-known findings are briefly discussed.

Keywords and Phrases

Analytic functionHankel determinantSchwarz function$ q $-calculus.

AMS Subject Classification

30C45.

Reference information

How to Cite

Anuradha Vishnoi, Arvind Kumar Sharma, Saurabh Porwal (2026). BOUNDS OF A SECOND HANKEL DETERMINANT FOR A NEW FAMILY OF ANALYTIC FUNCTIONS. South East Asian Journal of Mathematics and Mathematical Sciences, 22(2), 151-164.
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