- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 71 Issue: 3
- Multivalent harmonic functions involving multiplier transformation
Multivalent harmonic functions involving multiplier transformation
Authors : Vimlesh Gupta, Saurabh Porwal, Omendra Mishra
Pages : 731-751
Doi:10.31801/cfsuasmas.962040
View : 8 | Download : 4
Publication Date : 2022-09-30
Article Type : Research
Abstract :In the present investigation we study a subclass of multivalent harmonic functions involving multiplier transformation. An equivalent convolution class condition and a sufficient coefficient condition for this class is acquired. We also show that this coefficient condition is necessary for functions belonging to its subclass. As an application of coefficient condition, a necessary and sufficient hypergeometric inequality is also given. Further, results on bounds, inclusion relation, extreme points, a convolution property and a result based on the integral operator are obtained.Keywords : Multivalent harmonic functions, uniformly starlike functions, generalized hypergeometric functions, convolution