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Probabilistic Proofs of Some Relationships Between the Bernoulli and Euler Polynomials

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Abstract (2. Language): 
The main purpose of this article is to provide probabilistic proofs of the relationships between the generalized Bernoulli (or Nörlund) polynomials B( ) n (x) and the generalized Euler polynomials E( ) n (x) of (real or complex) order and degree n in x, which were proved recently by Srivastava and Pintér [11]. Some other approaches to these relationships and their seemingly interesting generalizations are also investigated.
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