Novel results on conformable Bessel functions

Novel results on conformable Bessel functions are proposed in this study. We complete this study by proposing and proving certain properties of the Bessel functions of first order involving their conformable derivatives or their zeros. We also establish the orthogonality of such functions in the int...

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Detalhes bibliográficos
Autores: Martínez González, Francisco Martín, Martínez Vidal, Inmaculada, Kaabar, Mohammed K. A., Paredes Hernández, Silvestre
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2022
País:España
Recursos:Universidad Politécnica de Cartagena(UPCT)
Repositório:Repositorio Digital UPCT
OAI Identifier:oai:repositorio.upct.es:10317/13285
Acesso em linha:http://hdl.handle.net/10317/13285
https://www.degruyter.com/document/doi/10.1515/nleng-2022-0002
Access Level:Acceso aberto
Palavra-chave:conformable derivative
conformable Bessel functions
conformable Bessel equation
Matemática Aplicada
12 Matemáticas
Descrição
Resumo:Novel results on conformable Bessel functions are proposed in this study. We complete this study by proposing and proving certain properties of the Bessel functions of first order involving their conformable derivatives or their zeros. We also establish the orthogonality of such functions in the interval [0,1]. This study is essential due to the importance of these functions while modeling various physical and natural phenomena.