Coefficient problems for analytic functions in M(α) and N(α)

In this paper we consider coefficients problems in classes M() and N(), >0, which are defined in a similar way to the class of starlike and convex functions. We generalize the known results concerning the bounds of coefficients in these classes. We also discuss the difference of successive coefficients for functions in M() and N (). Obtained results are then compared with those proved by Obradović et al., Schild as well as Sim and Thomas.

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Publication Details

Journal
Proceedings of the Romanian Academy Series A Mathematics Physics Technical Sciences Information Science
Published
2025-09-15
DOI
https://doi.org/10.59277/pra-ser.a.26.2.01
Primary Topic
Analytic and geometric function theory
Type
article
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article

Coefficient problems for analytic functions in M(α) and N(α)

Katarzyna Trąbka-Więcław, Paweł Zaprawa
Proceedings of the Romanian Academy Series A Mathematics Physics Technical Sciences Information Science
Analytic and geometric function theory
article

Coefficient problems for analytic functions in M(α) and N(α)

Katarzyna Trąbka-Więcław, Paweł Zaprawa
article en

Abstract

In this paper we consider coefficients problems in classes M() and N(), >0, which are defined in a similar way to the class of starlike and convex functions. We generalize the known results concerning the bounds of coefficients in these classes. We also discuss the difference of successive coefficients for functions in M() and N (). Obtained results are then compared with those proved by Obradović et al., Schild as well as Sim and Thomas.

Proceedings of the Romanian Academy Series A Mathematics Physics Technical Sciences Information ScienceVol. 26(2)
Lublin University of Technology (PL)
Openalex Percentile: Top 68%
Analytic and geometric function theory
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