TY  - JOUR
T1  - Multivalent harmonic functions involving multiplier transformation
AU  - Porwal, Saurabh
AU  - Gupta, Vimlesh
AU  - Mishra, Omendra
PY  - 2022
DA  - September
Y2  - 2022
DO  - 10.31801/cfsuasmas.962040
JF  - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
JO  - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.
PB  - Ankara University
WT  - DergiPark
SN  - 1303-5991
SP  - 731
EP  - 751
VL  - 71
IS  - 3
LA  - en
AB  - 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.
KW  - Multivalent harmonic functions
KW  - uniformly starlike functions
KW  - generalized hypergeometric functions
KW  - convolution
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UR  - https://doi.org/10.31801/cfsuasmas.962040
L1  - https://dergipark.org.tr/en/download/article-file/1858433
ER  -