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On a Class of Spirallike Functions associated with a Fractional Calculus Operator
SELVAKUMARAN, KUPPATHAI APPASAMY,BALACHANDAR, GEETHA,RAJAGURU, PUGAZHENTHI Department of Mathematics 2015 Kyungpook mathematical journal Vol.55 No.4
In this article, by making use of a linear multiplier fractional differential operator $D^{{\delta},m}_{\lambda}$, we introduce a new subclass of spiral-like functions. The main object is to provide some subordination results for functions in this class. We also find sufficient conditions for a function to be in the class and derive Fekete-$Szeg{\ddot{o}}$ inequalities.
Certain Geometric Properties of an Integral Operator Involving Bessel Functions
Selvakumaran, Kuppathai Appasamy,Szasz, Robert Department of Mathematics 2018 Kyungpook mathematical journal Vol.58 No.3
In this article, we introduce a new integral operator involving normalized Bessel functions of the first kind and we obtain a set of sufficient conditions for univalence. Our results contain some interesting corollaries as special cases. Further, as particular cases, we improve some of the univalence conditions proved in [2].
ON CERTAIN GENERALIZED q-INTEGRAL OPERATORS OF ANALYTIC FUNCTIONS
Sunil Dutt Purohit,Kuppathai Appasamy Selvakumaran 대한수학회 2015 대한수학회보 Vol.52 No.6
In this article, we first consider a linear multiplier fractional q-differintegral operator and then use it to define new subclasses of p- valent analytic functions in the open unit disk U. An attempt has also been made to obtain two new q-integral operators and study their sufficient conditions on some classes of analytic functions. We also point out that the operators and classes presented here, being of general character, are easily reducible to yield many diverse new and known operators and function classes.
ON CERTAIN GENERALIZED q-INTEGRAL OPERATORS OF ANALYTIC FUNCTIONS
PUROHIT, SUNIL DUTT,SELVAKUMARAN, KUPPATHAI APPASAMY Korean Mathematical Society 2015 대한수학회보 Vol.52 No.6
In this article, we first consider a linear multiplier fractional q-differintegral operator and then use it to define new subclasses of p-valent analytic functions in the open unit disk U. An attempt has also been made to obtain two new q-integral operators and study their sufficient conditions on some classes of analytic functions. We also point out that the operators and classes presented here, being of general character, are easily reducible to yield many diverse new and known operators and function classes.