Characterizing two inclusive subfamilies of complex order defined by error functions and subordinate to horadam polynomials

In this paper, using the Error functions and subordinate to Horadam polynomials, we introduce two inclusive subfamilies AEH( , , , , , ) D H J G K U and BEH( , , , , , ) D H J G K U of complex order.For functions in these subfamilies, we derive the estimations of the initial coefficients | | 2 Q and | | 3 Q , as well as the Fekete-Szeg functional.Further, some related results are also obtained as corollaries and remark.

Publication Details

Journal
Results in Nonlinear Analysis
Published
2025-05-01
DOI
https://doi.org/10.31838/rna/2025.08.02.021
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00
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article

Characterizing two inclusive subfamilies of complex order defined by error functions and subordinate to horadam polynomials

Results in Nonlinear Analysis
Advanced Topics in Algebra
article

Characterizing two inclusive subfamilies of complex order defined by error functions and subordinate to horadam polynomials

article en

Abstract

In this paper, using the Error functions and subordinate to Horadam polynomials, we introduce two inclusive subfamilies AEH( , , , , , ) D H J G K U and BEH( , , , , , ) D H J G K U of complex order.For functions in these subfamilies, we derive the estimations of the initial coefficients | | 2 Q and | | 3 Q , as well as the Fekete-Szeg functional.Further, some related results are also obtained as corollaries and remark.

Results in Nonlinear AnalysisVol. 8(2)
Openalex Percentile: Top 69%
Advanced Topics in Algebra
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Characterizing two inclusive subfamilies of complex order defined by error functions and subordinate to horadam polynomials · Results in Nonlinear Analysis (2025) | TGRS Research Map | TGRS