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Chen [ 6 ] gave generalizations of ( 1 ) for sums of N products of Bernoulli polynomials, generalized Bernoulli numbers and Euler polynomials by using special values of certain
Using the properties of the Beta function, we investigate the representation of infi- nite series involving the reciprocals of binomial coefficients... Similar technical details can
We begin with sums involving q -binomial coefficients which come up naturally when counting elements in finite classical groups which square to the iden- tity, and we obtain
Now, taking into account the above-mentioned properties of P N ( λx ) and using the fact that the partial sums of the initial series (10) are positive, it is easy to show that
Abstract. We consider various possibilities concerning the continu- ous extension of continuous functions taking values in an ultrametric space. In Section 1 we consider
When investigating the problem of approximation of functions defined on compact or locally compact Abelian groups one should consider sets with properties similar to the properties
In this paper, we consider the twin issues of estimating the characteristic exponent a and of testing a null hypothesis which includes the composite hypothesis of a stable
In this paper we consider a transient wave which propagates in a viscoelastic homogeneous isotropic medium described by the Maxwell model or by the Maxwell–Kelvin model and