NEW FORMULAE FOR Ki(z) FUNCTION
نویسندگان
چکیده
defined in [13]. We give the generating functions, some representation and the congruences of the function Ki(z). Also, we present some inequalities for the function Ki(x) for positive values of x. AMS Mathematics Subject Classification (2000): 11B34, 11B50, 11B37.
منابع مشابه
Operational matrices with respect to Hermite polynomials and their applications in solving linear differential equations with variable coefficients
In this paper, a new and efficient approach is applied for numerical approximation of the linear differential equations with variable coeffcients based on operational matrices with respect to Hermite polynomials. Explicit formulae which express the Hermite expansion coeffcients for the moments of derivatives of any differentiable function in terms of the original expansion coefficients of the f...
متن کاملApproximate Closed-form Formulae for Buckling Analysis of Rectangular Tubes under Torsion
The buckling torque may be much less than the yield torque in very thin rectangular tubes under torsion. In this paper, simple closed-form formulae are presented for buckling analysis of long hollow rectangular tubes under torsion. By the presented formulae, one can obtain the critical torque or the critical angle of twist of the tube in terms of its geometrical parameters and material constant...
متن کاملA New High Order Closed Newton-Cotes Trigonometrically-fitted Formulae for the Numerical Solution of the Schrodinger Equation
In this paper, we investigate the connection between closed Newton-Cotes formulae, trigonometrically-fitted methods, symplectic integrators and efficient integration of the Schr¨odinger equation. The study of multistep symplectic integrators is very poor although in the last decades several one step symplectic integrators have been produced based on symplectic geometry (see the relevant lit...
متن کاملGeneralized Stark Formulae over Function Fields
We establish formulae of Stark type for the Stickelberger elements in the function field setting. Our result generalizes a work of Hayes and a conjecture of Gross. It is used to deduce a p-adic version of Rubin-Stark Conjecture and Burns Conjecture.
متن کاملA new method for ranking of Z-numbers
In this paper we propose a new method for ranking Z- numbers and generalizations. This method is based on the internal structure of the artificial neural network, which suggests that the structure of this network consists of inputs weights and the transfer function linear, nonlinear and sometimes linear and nonlinear. It is shown that the proposed method while possessing the ranking properties ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006