Univalency Conditions of A General Nonlinear Analytic Integral Operator with Different Domains

Eerdunqiqige; LI Shuhai

doi:10.6054/j.jscnun.2024013

Journal of South China Normal University (Natural Science Edition) > 2024 > 56(1): 112-117. > DOI: 10.6054/j.jscnun.2024013

Eerdunqiqige, LI Shuhai. Univalency Conditions of A General Nonlinear Analytic Integral Operator with Different Domains[J]. Journal of South China Normal University (Natural Science Edition), 2024, 56(1): 112-117. DOI: 10.6054/j.jscnun.2024013

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Univalency Conditions of A General Nonlinear Analytic Integral Operator with Different Domains

Eerdunqiqige¹,
LI Shuhai^2, ,

1.
School of Fundamental Education, Hohhot Minzu College, Hohhot 010051, China
2.
School of Mathematics and Computer Science, Chifeng University, Chifeng 024000, China

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Received Date: June 10, 2022
Available Online: April 29, 2024

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Abstract

Abstract

By using the subordination relationship and the sufficient conditions of univalent functions, some generalized nonlinear analytic integral operators $J_{n, \sigma}\left(\mathfrak{A}_n, \mathfrak{B}_n\right)(z)$ are researched, and the sufficient conditions for the analytic integral operator to be univalent in different regions are obtained. The sufficiency of the relevant nonlinear analytic integral operator to be univalent are generalized. The sufficient conditions for integral operators to be univalent in a strip region are derived.
- analytic function,
- univalent function,
- nonlinear,
- integral operator,
- subordination

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References (21)

References

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