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

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 Legend re polynomials. Also, find upper bounds of the second Hankel determinant [Please download the PDF to view the formula] for functio...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:TWMS journal of applied and engineering mathematics Jg. 12; H. 4; S. 1247
Hauptverfasser: Murugusundaramoorthy, G, El-Deeb, S. M
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Istanbul Turkic World Mathematical Society 01.01.2022
Elman Hasanoglu
Schlagworte:
Analytic functions
Determinants
Distribution (Probability theory)
Functional equations
Functions
Mathematical analysis
Mathematical research
Mathematics
Polynomials
Random variables
Upper bounds
India
ISSN:2146-1147, 2146-1147
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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 Legend re polynomials. Also, find upper bounds of the second Hankel determinant [Please download the PDF to view the formula] for functions belonging to the class [Please download the PDF to view the formula]. Keywords: Fekete-Szego inequality, Second Hankel determinant, the Mittag-Leffler-functions, Borel distribution, Legendre polynomials, Complex order. AMS Subject Classification: Primary 30C45, 11B37, Secondary 47B35, 47B38.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2146-1147
2146-1147