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Second Hankel Determinant for Subclasses of Starlike and Convex Functions
Current Issue
Volume 2, 2014
Issue 6 (December)
Pages: 48-51   |   Vol. 2, No. 6, December 2014   |   Follow on         
Paper in PDF Downloads: 70   Since Aug. 28, 2015 Views: 2027   Since Aug. 28, 2015
Authors
[1]
Gagandeep Singh, Department of Mathematics, M. S. K. Girls College, Bharowal (Tarn-Taran), Punjab, India.
[2]
Gurcharanjit Singh, Department of Mathematics, Guru Nanak Dev University College, Chungh (Tarn-Taran), Punjab, India.
Abstract
The present paper is concerned with the estimate of an upper bound of second Hankel determinant for the functions belonging to the subclasses of the classes of starlike and convex functions in the unit disc. Results proved by various authors can be obtained as special cases of the results of this paper by giving particular values to the parameters A and B.
Keywords
Analytic Functions, Starlike Functions, Convex Functions, Subordination, Schwarz Function, Second Hankel Determinant
Reference
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[10]
Gagandeep Singh, Hankel determinant for new subclasses of analytic functions with respect to symmetric points, Int. J. of Modern Math. Sci., 5(2)(2013), 67-76.
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Gagandeep Singh, Hankel determinant for a new subclass of analytic functions, Scientia Magna, 8(4)(2012), 61-65.
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Gagandeep Singh and Gurcharanjit Singh, On the second Hankel determinant for a new subclass of analytic functions, Journal of mathematical Sciences and Applications, 2(1)(2014), 1-3.
[13]
Gagandeep Singh and Gurcharanjit Singh, Hankel determinant for a subclass of alpha convex functions, Bonfring International Journal of Data Mining, 4(3)(2014), 16-21.
[14]
Gagandeep Singh and Gurcharanjit Singh, Second Hankel determinant for a subclass of alpha convex functions, Journal of Applied and Computational Mathematics, (2014), doi: 10.4172/2168-9679.1000167.
[15]
Gagandeep Singh and Gurcharanjit Singh, Upper bound of the Second Hankel determinant for a subclass of analytic functions, New Trends in Mathematical Sciences, 2(1)(2014), 53-58.
[16]
Gagandeep Singh and Gurcharanjit Singh, Estimate of Second Hankel determinant for a subclass of analytic functions with respect to symmetric points, Asia Pacific Journal of Mathematics, 1(2)(2014), 134-140.
[17]
Gagandeep Singh and Gurcharanjit Singh, Estimate of Second Hankel determinant for a subclass of p-valently alpha convex functions, Mathematical Sciences Research Journal, 17(5)(2013).
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