On Application of Fractional Differintegral Operator to the K4- Function



Título del documento: On Application of Fractional Differintegral Operator to the K4- Function
Revista: Boletim da Sociedade Paranaense de Matematica
Base de datos: PERIÓDICA
Número de sistema: 000398610
ISSN: 0037-8712
Autores: 1
Instituciones: 1NRI Institute of Technology and Management, Gwalior, Madhya Pradesh. India
Año:
Volumen: 30
Número: 1
Paginación: 91-97
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico
Resumen en inglés The object of this paper is to introduce a new function called K4- function defined by the author in terms of some special functions, which is an extension of the G-function defined by Lorenzo and Hartley [4] and demonstrate how K4-function is closely related to another special functions, namely LorenzoHartleyâ’s R-function, Robotnov and Hartleyâ’s F-function, Mittag-Leffler function, generalized Mittag-Leffler function, Exponential function. The differintegration of that function is also investigated. As special cases most of the results obtained in this paper are believed to be new and include some of the results given earlier by other authors
Disciplinas: Matemáticas
Palabras clave: Matemáticas aplicadas,
Matemáticas puras,
Análisis matemático,
Cálculo fraccional,
Diferintegrales,
Funciones
Keyword: Mathematics,
Applied mathematics,
Pure mathematics,
Mathematical analysis,
Fractional calculus,
Differintegrals,
Functions
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