ON EULER NUMBERS

. CO / 0505548 . ON q - EULER NUMBERS AND q - SALIÉ NUMBERS

On Stirling Numbers and Euler Sums

In this paper, we propose the another yet generalization of Stirling numbers of the rst kind for non-integer values of their arguments. We discuss the analytic representations of Stirling numbers through harmonic numbers, the generalized hypergeometric function and the logarithmic beta integral. We present then in nite series involving Stirling numbers and demonstrate how they are related to Eu...

ON q - EULER NUMBERS AND q - SALIÉ

Note on the Euler Numbers and Polynomials

In this paper we investigate the properties of the Euler functions. By using the Fourier transform for the Euler function, we derive the interesting formula related to the infinite series. Finally we give some interesting identities between the Euler numbers and the second kind stirling numbers. §

On the Euler Function of Fibonacci Numbers

In this paper, we show that for any positive integer k, the set {( φ(Fn+1) φ(Fn) , φ(Fn+2) φ(Fn) , . . . , φ(Fn+k) φ(Fn) )