Abstract. The main purpose of this paper is to prove an identity of symmetry for the Frobenius-Euler polynomials. It turns out that the recurrence relation and multiplication theorem for the Frobenius-Euler polynomials which discussed in [ K. Shiratani, S. Yamamoto, On a p-adic interpolation function for the Euler numbers and its derivatives, Memo. Fac. Sci. Kyushu University Ser.A, 39(1985), 1...

Rotating beams have been considerably appealing to engineers and designers of complex structures i.e. aircraft’s propeller and windmill turbines. In this paper, a new flexibility-based method is proposed for the dynamic analysis of rotating non-prismatic Euler-Bernoulli beams. The flexibility basis of the method ensures the true satisfaction of equilibrium equations at any interior point of the...

Abstract : The main purpose of this paper is to construct the p-adic twisted (h, q)-Euler-lfunction, which interpolates generalized twisted (h, q)-Euler numbers associated with a primitive Dirichlet character χ. This is a partial answer for the open question which was remained in [13]. An application of this function leads general congruences systems for generalized twisted (h, q)Euler numbers ...

We present a deterministic algorithm for drawing Euler diagrams using n simple polygons so that the regions have a prescribed area. Our solution works for all Euler diagrams that have a region of common intersection (i.e., region {1, 2, . . . , n}), and for any weight function. When there is no region for {1, 2, . . . , n}, the algorithm can still be applied, but will sometimes create an Euler ...

The initial version of the Birch and Swinnerton-Dyer conjecture concerned asymptotics for partial Euler products for an elliptic curve L-function at s = 1. Goldfeld later proved that these asymptotics imply the Riemann hypothesis for the L-function and that the constant in the asymptotics has an unexpected factor of √ 2. We extend Goldfeld’s theorem to an analysis of partial Euler products for ...