Displaying similar documents to “An effective lower bound for a certain exponential function”

Linear independence of values of a certain generalisation of the exponential function – a new proof of a theorem of Carlson

Rolf Wallisser (2005)

Journal de Théorie des Nombres de Bordeaux

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Let Q be a nonconstant polynomial with integer coefficients and without zeros at the non–negative integers. Essentially with the method of Hermite, a new proof is given on linear independence of values at rational points of the function G ( x ) = n = 0 x n Q ( 1 ) Q ( 2 ) Q ( n ) .

Solving a class of generalized Lyapunov operator differential equations without the exponential operator function.

Lucas A. Jódar Sánchez (1990)

Publicacions Matemàtiques

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In this paper a method for solving operator differential equations of the type X' = A + BX + XD; X(0) = C, avoiding the operator exponential function, is given. Results are applied to solve initial value problems related to Riccati type operator differential equations whose associated algebraic equation is solvable.