¹Universidad Nacional Experimental Francisco de Miranda, Coro, Venezuela. Email: greilyn@hotmail.com
²Universidad del Zulia, Maracaibo, Venezuela. Email: lgalue@hotmail.com

Las funciones especiales son de suma importancia para científicos e ingenieros en muchas de sus aplicaciones, siendo las funciones de Bessel de las más utilizadas debido a que surgen en la solución de ecuaciones diferenciales en matemática, física, química, ingeniería y otras ramas de la ciencia y la tecnología; por esta razón diversos autores han estudiado diferentes generalizaciones de las funciones de Bessel. En este trabajo se presentan teoremas de adición, multiplicación y de Graf para la función de Bessel de dos índices y un parámetro (J_m,n(x;τ)).

Palabras clave: Funciones de Bessel generalizadas, teorema de adición, teorema de multiplicación, teorema de Graf.

The special functions are of utmost importance for scientists and engineers, in many of their applications, being Bessel functions of the most used due that they arise in the solution of differential equations from mathematics, physics, chemistry, engineering and other branches of science and technology; for this reason several authors have studied different generalizations of the Bessel functions. In this paper the theorems of addition, multiplication and Graf's, for double index, one parameter Bessel function (J_m,n(x;τ)) are established.

Key words: Generalized Bessel functions, Addition theorem, Multiplication theorem, Graf theorem.

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Referencias

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