Multivalent harmonic functions involving multiplier transformation

Authors : Vimlesh GUPTA, Saurabh PORWAL, Omendra MİSHRA

Pages : 731-751

Doi:10.31801/cfsuasmas.962040

View : 8 | Download : 9

Publication Date : 2022-09-30

Article Type : Research Paper

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