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Using Real-Variable Techniques to Study Zeros of Complex-Valued Harmonic Functions

delete2026-04-16
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PRE
AI
J
Jennifer D. Brooks
J
Jenkins, Mary
L
Liechty, Samuel
P
Parker, Kaden
P
Perez, Katherine
R
Robison, Dallin
S
Sampson, Eli *
W
Wilson, Matthew G.
DOI:10.1007/s40840-026-02098-2delete
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Abstract

Abstract

En 中文
We investigate the zeros of a one-parameter family of harmonic functions and describe how the number of zeros depends on the parameter. Our functions have the property that all zeros lie on certain rays in the complex plane and thus we are able to use real-variable techniques to count the zeros on each ray.
Keywords:
Complex-valued harmonic functions
Zeros

Journal

B
Bulletin of the Malaysian Mathematical Sciences Society
IF:
1.2
Papers:
140
Citations:
0

Organization

B
brigham young university
Scholars:
1.5K
Papers: 590
Citations: 0