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En este artículo, presentamos una función logarítmica de Mittag-Leffler y discutir algunas de sus propiedades. La aplicación de estas propiedades se vuelven útiles en la extensión de la integral de contorno de tipo de Pochhammer representaciones y fórmulas de Rodrigues de algunos conocidos hipergeompétricos funciones. Desde el punto de vista de la aplicación, se discuten algunas relaciones que son útiles para interpretar el fenómeno de la propagación de infecciones enfermedades en términos de las múltiples funciones hipergeométricas de Lauricella.
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