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Some hyperbolic classes of analytic functions in the unit disk

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Abstract

We introduce the hyperbolic \(F^*_{g}(p,q,s) \) and \(F^*_{\varphi }( p,q,s) \) classes of holomorphic functions defined in the unit disk of \(\mathbb {C}\), with the aim of generalizing previous works of Zhao (Ann Acad Sci Fenn Math Diss 105, 1996a; Acta Math Sci 16:349–360, 1996b) and Li (Ann Acad Sci Fenn Math Diss 145, 2005). We give some interesting properties and characterizations in terms of other weighted hyperbolic classes.

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Authors and Affiliations

  1. Unidad Profesional Interdisciplinaría en Ingeniería y Tecnologías Avanzadas, Depto. de Ciencias Básicas, Instituto Politécnico Nacional, Avenida Instituto Politécnico Nacional 2580, Col. La Laguna Ticomán, Delegación Gustavo A. Madero, 07340, México, DF, México

    Jorge Pérez Hernández

  2. Unidad Azcapotzalco, C. B. I. Área de Análisis Matemático y sus Aplicaciones, Universidad Autónoma Metropolitana, Avenida San Pablo 180, Delegación Azcapotzalco, 02200, México, DF, México

    Lino Feliciano Reséndis Ocampo

  3. Unidad Adolfo López Mateos, Escuela Superior de Física y Matemáticas, Edificio 9, Instituto Politécnico Nacional, Zacatenco, Delegación Gustavo A. Madero, 07300, México, DF, México

    Luis Manuel Tovar Sánchez

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  1. Jorge Pérez Hernández
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  2. Lino Feliciano Reséndis Ocampo
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  3. Luis Manuel Tovar Sánchez
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Correspondence to Lino Feliciano Reséndis Ocampo.

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Pérez Hernández, J., Reséndis Ocampo, L.F. & Tovar Sánchez, L.M. Some hyperbolic classes of analytic functions in the unit disk. Bol. Soc. Mat. Mex. 21, 171–188 (2015). https://doi.org/10.1007/s40590-015-0062-x

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  • DOI: https://doi.org/10.1007/s40590-015-0062-x

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