Partial sums of generalized harmonic starlike univalent functions generated by a (p,q)−Ruscheweyh-type harmonic differential operator  

作　　者：Om P Ahuja Asena Cetinkaya Raj Kumar 

机构地区：[1]Department of Mathematical Sciences,Kent State University,Ohio,44021,USA [2]Department of of Mathematics and Computer Science,Istanbul Kultur University,Istanbul,Turkey [3]Department of of Mathematics,DAV University,Jalandhar,India

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2024年第4期584-595,共12页高校应用数学学报（英文版）（B辑）

摘　　要：Let H denote the class of complex-valued harmonic functions f defined in the open unit disc D and normalized by f(0)=fz(0)-1=0.In this paper,we define a new generalized subclass of H associated with the(p,q)-Ruscheweyh-type harmonic differential operator in D.We first obtain a sufficient coefficient condition that guarantees that a function f in H is sense-preserving harmonic univalent in D and belongs to the aforementioned class.Using this coefficient condition,we then examine ratios of partial sums of f in H.In all cases the results are sharp.In addition,the results so obtained generalize the related works of some authors,and many other new results are obtained.

关 键 词：(p q)-calculus (p q)-derivative operator Q-CALCULUS q-derivative operator (p q)-Ruscheweyhtype harmonic differential operator partial sums coefficient estimate 

分 类 号：O174[理学—数学]