Second Hankel determinant for a class of analytic functions defined by q-derivative operator-Reference-Cited by-同舟云学术

Second Hankel determinant for a class of analytic functions defined by q-derivative operator

Published:2019-06-01 Issue:2 Volume:27 Page:167-177
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Răducanu Dorina¹

Affiliation:

1. Faculty of Mathematics and Computer Science , Transilvania University of Braşov , Bdul Iuliu Maniu 50, 500091 Braşov , Romania .

Abstract

Abstract In this paper, we obtain the estimates for the second Hankel determinant for a class of analytic functions defined by q-derivative operator and subordinate to an analytic function.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2019-0026

Reference33 articles.

1. [1] R. M. Ali, S. K. Lee, V. Ravichandran, S. Supramanian, The Fekete-Szegö coefficient functional for transforms of analytic functions, Bull. Iran. Math. Soc., 35(2) (2009),119-142.

2. [2] N. M. Alarifi, R. M. Ali, V. Ravichandran, On the second Hankel determinant for the kth-root transform of analytic functions, Filomat, 31(2) (2017), 227-245.10.2298/FIL1702227A

3. [3] A. Aral, V. Gupta, R. P. Agarwal, Applications of q-Calculus in Operator Theory, Springer, New York, USA, 2013.10.1007/978-1-4614-6946-9

4. [4] J. H. Choi, Y. C. Kim, T. Sugawa, A general approach to the Fekete-Szegö problem, J. Math. Soc. Jpn., 59(3) (2007), 707-727.10.2969/jmsj/05930707

5. [5] M. Çaǧlar, E. Deniz, H. M. Srivastava, Second Hankel determinant for certain class of bi-univalent functions, Turkish J. Math., 41 (2017), 694-706.10.3906/mat-1602-25

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