Sobre una familia de polinomios tipo Apostol

William Ramírez; Alejandro Urieles G.

William Ramírez Universidad de la Costa
Alejandro Urieles G. Universidad del Atlántico

Palabras clave: Polynomials Euler Apostol, generalized Bernoulli polynomilas of m level and generalized polynomials type Apostol. Polinomios de Apostol Euler, polinomios de Bernoulli generalizados de nivel m y polinomios tipo Apóstol generalizados.

Resumen

Sean m 2 N, ; ; ; 2 C, a; c 2 R+, y sea Q[m􀀀1;] n (x; c; a; ; ; ) la nueva clase de polinomios tipo Apostol generalizados de orden , nivel m y variable x. En el presente trabajo estudiaremos algunas propiedades de esta familia de polinomios y la utilizaremos para demostrar fórmulas de conexión entre éstos polinomios y los polinomios de Apostol Euler y los polinomios de Bernoulli generalizados de nivel m.

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