A class of generalized Walsh functions

A Class of Generalized Gamma Functions

In this paper, we study the holomorphic function defined by the infinite product Γa,r(s) = ∏ n≥0(1 + 1 a+nr ) (1 + s a+nr ) which generalize Euler’s definition in the sense that Γ(s) = Γ1,1(s) s . We obtain analogues of the Gauss multiplication formula, complement formula for functions Γa,r(s). Laboratoire Gevrey de Mathématique Physique, Université de Bourgogne, Faculté des Sciences et Techniq...

New inequalities for a class of differentiable functions

In this paper, we use the Riemann-Liouville fractionalintegrals to establish some new integral inequalities related toChebyshev's functional in the case of two differentiable functions.

A Numerical Integration Method by Using Generalized Series of Functions

a contrastive study of rhetorical functions of citation in iranian and international elt scopus journals

writing an academic article requires the researchers to provide support for their works by learning how to cite the works of others. various studies regarding the analysis of citation in m.a theses have been done, while little work has been done on comparison of citations among elt scopus journal articles, and so the dearth of research in this area demands for further investigation into citatio...

On the computability of Walsh functions

The Haar and the Walsh functions are proved to be computable with respect to the Fine-metric dF which is induced from the in-nite product = {0; 1}{1;2; :::} with the weighted product metric dC of the discrete metric on {0; 1}. Although they are discontinuous functions on [0; 1] with respect to the Euclidean metric, they are continuous functions on ( ; dC) and on ([0; 1]; dF). On ( ; dC), comput...