A Convolution Approach on Partial Sums of Certain Harmonic Multivalent Functions

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Authors

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

DOI:

https://doi.org/10.18311/jims/2022/24179

Keywords:

Harmonic functions, multivalent functions, Hadamard product, partial sums
30C45

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.

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Published

2022-01-27

How to Cite

Patel, R., & Porwal, S. (2022). A Convolution Approach on Partial Sums of Certain Harmonic Multivalent Functions. The Journal of the Indian Mathematical Society, 89(1-2), 117–133. https://doi.org/10.18311/jims/2022/24179

Issue

Volume 89, Issue 1-2, January-June 2022

Section

Articles

License

Copyright (c) 2022 Ruchi Patel, Saurabh Porwal

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2019-09-04
Accepted 2021-12-09
Published 2022-01-27

 

References

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