Schwarzian derivative for convex mappings of order α

Pablo Carrasco; Rodrigo Hernández

doi:10.1007/s13324-023-00785-y

Schwarzian derivative for convex mappings of order α

Pablo Carrasco
, Rodrigo Hernández

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

4 Citas (Scopus)

Resumen

The main purpose of this paper is to obtain sharp bounds of the norm of Schwarzian derivative for convex mappings of order alpha in terms of the value of f^{′ ′}(0 ) , in particular, when this quantity is equal to zero. In addition, we obtain sharp bounds for distortion and growth for this mappings and we generalize the results obtained by Suita (J Hokkaido Univ Ed Sect II A 46(2):113–117, 1996) and Yamashita (Hokkaido Math J 28:217–230, 1999) for this particular case.

Idioma original	Inglés
Número de artículo	22
Publicación	Analysis and Mathematical Physics
Volumen	13
N.º	2
DOI	https://doi.org/10.1007/s13324-023-00785-y
Estado	Publicada - abr 2023
Publicado de forma externa	Sí

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title = "Schwarzian derivative for convex mappings of order α",

abstract = "The main purpose of this paper is to obtain sharp bounds of the norm of Schwarzian derivative for convex mappings of order alpha in terms of the value of f′ ′(0 ) , in particular, when this quantity is equal to zero. In addition, we obtain sharp bounds for distortion and growth for this mappings and we generalize the results obtained by Suita (J Hokkaido Univ Ed Sect II A 46(2):113{\textendash}117, 1996) and Yamashita (Hokkaido Math J 28:217{\textendash}230, 1999) for this particular case.",

keywords = "Convex of order alpha, Schwarz Lemma, Schwarzian derivative",

author = "Pablo Carrasco and Rodrigo Hern{\'a}ndez",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2023",

month = apr,

doi = "10.1007/s13324-023-00785-y",

language = "English",

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journal = "Analysis and Mathematical Physics",

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AU - Carrasco, Pablo

AU - Hernández, Rodrigo

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N2 - The main purpose of this paper is to obtain sharp bounds of the norm of Schwarzian derivative for convex mappings of order alpha in terms of the value of f′ ′(0 ) , in particular, when this quantity is equal to zero. In addition, we obtain sharp bounds for distortion and growth for this mappings and we generalize the results obtained by Suita (J Hokkaido Univ Ed Sect II A 46(2):113–117, 1996) and Yamashita (Hokkaido Math J 28:217–230, 1999) for this particular case.

AB - The main purpose of this paper is to obtain sharp bounds of the norm of Schwarzian derivative for convex mappings of order alpha in terms of the value of f′ ′(0 ) , in particular, when this quantity is equal to zero. In addition, we obtain sharp bounds for distortion and growth for this mappings and we generalize the results obtained by Suita (J Hokkaido Univ Ed Sect II A 46(2):113–117, 1996) and Yamashita (Hokkaido Math J 28:217–230, 1999) for this particular case.

KW - Convex of order alpha

KW - Schwarz Lemma

KW - Schwarzian derivative

UR - https://www.scopus.com/pages/publications/85147533426

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DO - 10.1007/s13324-023-00785-y

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SN - 1664-2368

VL - 13

JO - Analysis and Mathematical Physics

JF - Analysis and Mathematical Physics

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ER -

Schwarzian derivative for convex mappings of order α

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