On the inclusion properties for harmonic error functions

2025/10/23 by Şahsene Altınkaya, Altınkaya, Şahsene, Sibel Yalçın +1
Mathematics · #30C45 #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical Analysis and Transform Methods #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2510.20710

openalex publication_date 2025/10/23 · openalex created_date 2025/10/25 · openalex updated_date 2026/07/28

Abstract

For the error functions of the form E_r\mathfrakf(z)=(√(πz))/(2)er \mathfrakf(√(z))=z+Σ_n=2^∞ \frac(-1)^n-1(2n-1)(n-1)!zⁿ,% let ES_H(k,λ,γ) represent the class of harmonic error functions ERF=ERH+% ERG in the open unit disk \mathbbU=\ z∈ ℂ: \vert z\vert <1\ . The paper attempts to present some basic properties for functions in this class.

Citations

• Certain results on q-starlike and q-convex error functions

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