SECOND HANKEL DETERMINANT FOR A CLASS OF ANALYTIC FUNCTIONS OF THE MITTAG-LEFFLER-TYPE BOREL DISTRIBUTION RELATED WITH LEGENDRE POLYNOMIALS
SECOND HANKEL DETERMINANT FOR A CLASS OF ANALYTIC FUNCTIONS OF THE MITTAG-LEFFLER-TYPE BOREL DISTRIBUTION RELATED WITH LEGENDRE POLYNOMIALS
G. Murugusundaramoorthy, S. M. El-Deeb
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Abstract
In this paper, we obtain the Fekete-Szego inequalities for the functions of complex order connected with the Mittag-Le er-type Borel distribution based upon the Legendre polynomials: Also, nd upper bounds of the second Hankel determinant a2a4 a23 for functions belonging to the class M ( ; ; ; x).
Keywords
Fekete-Szego inequality, Second Hankel determinant, the Mittag-Le er-functions, Borel distribution, Legendre polynomials, Complex order.