Subclasses of analytic functions associated with Pascal distribution series
Basem Aref Frasin
Abstract
In the present paper, we determine necessary and sufficient conditions for the Pascal distribution series to be in the subclasses S(k,λ) and C(k,λ) of analytic functions. Further, we consider an integral operator related to Pascal distribution series. Some interesting special cases of our main results are also considered.
Topics & Concepts
Pascal (unit)Series (stratigraphy)MathematicsDistribution (mathematics)Calculus (dental)Applied mathematicsComputer scienceMathematical analysisProgramming languageMedicineBiologyDentistryPaleontologyAnalytic and geometric function theoryMeromorphic and Entire FunctionsMathematical functions and polynomials