The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

A Convolution Approach on Partial Sums of Certain Harmonic Multivalent Functions


Affiliations
1 Department of Mathematics, Amity University, Lucknow - 226010, India
2 Department of Mathematics, Ram Sahai Govt. Degree College, Bairi-Shivrajpur, Kanpur - 209205, India
     

   Subscribe/Renew Journal


The main object of this paper is to obtain sharp lower bounds for the ratio of convolution of harmonic multivalent function to its sequences of partial sums. Relevant connections of the results presented here with various known results are briefly indicated.


Keywords

Harmonic functions, multivalent functions, Hadamard product, partial sums.
Subscription Login to verify subscription
User
Notifications
Font Size



  • A Convolution Approach on Partial Sums of Certain Harmonic Multivalent Functions

Abstract Views: 290  |  PDF Views: 0

Authors

Ruchi Patel
Department of Mathematics, Amity University, Lucknow - 226010, India
Saurabh Porwal
Department of Mathematics, Ram Sahai Govt. Degree College, Bairi-Shivrajpur, Kanpur - 209205, India

Abstract


The main object of this paper is to obtain sharp lower bounds for the ratio of convolution of harmonic multivalent function to its sequences of partial sums. Relevant connections of the results presented here with various known results are briefly indicated.


Keywords


Harmonic functions, multivalent functions, Hadamard product, partial sums.

References





DOI: https://doi.org/10.18311/jims%2F2022%2F24179