In this paper,we introduce two subclasses Eq*(φ)and∑*q,a(φ)of meromorphic functions f(z)for which qzDqf(z)/f(z)〈φ(z)and-(1-a/q)qzDqf(z)+azqDq[zDqf(z)]/(1-a/q)f(z)-azDqf(z)〈φ(z),a∈C/(0,1],0〈q〈1,respectively.S...In this paper,we introduce two subclasses Eq*(φ)and∑*q,a(φ)of meromorphic functions f(z)for which qzDqf(z)/f(z)〈φ(z)and-(1-a/q)qzDqf(z)+azqDq[zDqf(z)]/(1-a/q)f(z)-azDqf(z)〈φ(z),a∈C/(0,1],0〈q〈1,respectively.Sharp bounds for the Fekete-Szeg5 functional lal-tta21 of the above classes are obtained.Also,we consider some applications of the results obtained to functions defined by q-Bessel function.展开更多
基金Supported by the National Natural Science Foundation of China(Grant Nos.11561001,11271045)the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region(Grant No.NJYT-18-A14)+2 种基金the Natural Science Foundation of Inner Mongolia(Grant Nos.2010MS0117,2014MS0101,2017MS0113)the Higher School Foundation of Inner Mongolia(Grant Nos.NJZY16251,NJZY17300,NJZY17301,NJZY18217)the Natural Science Foundation of Chifeng
文摘In this paper,we introduce two subclasses Eq*(φ)and∑*q,a(φ)of meromorphic functions f(z)for which qzDqf(z)/f(z)〈φ(z)and-(1-a/q)qzDqf(z)+azqDq[zDqf(z)]/(1-a/q)f(z)-azDqf(z)〈φ(z),a∈C/(0,1],0〈q〈1,respectively.Sharp bounds for the Fekete-Szeg5 functional lal-tta21 of the above classes are obtained.Also,we consider some applications of the results obtained to functions defined by q-Bessel function.
