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Jacob's ladders, Bessel's functions and the asymptotic solutions of a new class of nonlinear integral equations
Jacob's ladders Bessel's functions the asymptotic solutions
2010/11/19
It is shown in this paper that there is a connection between the Riemann zeta-function $\zf$ and the Bessel's functions. In this direction, a new class of the nonlinear integral equations is introduce...
Asymptotic solutions and eigenvalues of second-order differential equations with poles and turning points
Eigenvalues singularity turning point
2010/9/13
Using of the asymptotic estimates provided in [2] for a special fundamental system of solutions of Sturm-Liouville equation, we study the asymptotic estimates for a special fundamental system of solut...
Asymptotic solutions of a generalized eigenvalue problem
Weight functions Asymptotic converge
2010/9/17
This paper provides a solution of a generalized eigenvalue problem for a fractional integrated processes. To this end two random matrices are constructed in order to take into account the stationarity...