Geodesic
Inequalities on a class of analytic functions defined by generalized Mittag-Leffler function
Filomat, Tome 37 (2023) no. 19, p. 6277

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DOI

By making use of the generalized difference operator, we have defined a new class of λ-pseudo Pascu type functions of complex order using subordination. Interesting results such as subordination results, inequalities for the initial Taylor-Maclaurin coefficients and unified solution of Fekete-Szegő problem have been obtained. Also, the study has been extended to quantum calculus by replacing the ordinary derivative with a q-derivative in the defined function class. Several applications, known or new of the main results are also presented.
DOI : 10.2298/FIL2319277C
Classification : 30C45, 30C80
Keywords: Analytic functions, Bazilevič functions, Starlike and convex functions, Subordination, Fekete-Szegő problem, Coefficient inequalities, q-calculus, Jackson’s q-derivative operator 
Murat Caglara; K R Karthikeyan; G Murugusundaramoorthy. Inequalities on a class of analytic functions defined by generalized Mittag-Leffler function. Filomat, Tome 37 (2023) no. 19, p. 6277 . doi: 10.2298/FIL2319277C
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     title = {Inequalities on a class of analytic functions defined by generalized {Mittag-Leffler} function},
     journal = {Filomat},
     pages = {6277 },
     year = {2023},
     volume = {37},
     number = {19},
     doi = {10.2298/FIL2319277C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2319277C/}
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