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SECOND HANKEL DETERMINANT FOR A CLASS OF ANALYTIC FUNCTIONS OF THE MITTAG-LEFFLER-TYPE BOREL DISTRIBUTION RELATED WITH LEGENDRE POLYNOMIALS
Journal article   Peer reviewed

SECOND HANKEL DETERMINANT FOR A CLASS OF ANALYTIC FUNCTIONS OF THE MITTAG-LEFFLER-TYPE BOREL DISTRIBUTION RELATED WITH LEGENDRE POLYNOMIALS

G. Murugusundaramoorthy and S. M. El-Deeb
TWMS journal of applied and engineering mathematics, Vol.12(4), pp.1247-1258
01/09/2022

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we obtain the Fekete-Szego inequalities for the functions of complex order connected with the Mittag-Leffler-type Borel distribution based upon the Legendre polynomials: Also, find upper bounds of the second Hankel determinant vertical bar a(2)a(4) - a(3)(2)vertical bar for functions belonging to the class M-gamma(eta)(lambda, alpha, beta, x).

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