Analysis and Applications of Some Modified Bessel Functions

نویسندگان

  • JURI M. RAPPOPORT
  • J. M. RAPPOPORT
چکیده

Some new properties of kernels of modified Kontorovitch–Lebedev integral transforms — modified Bessel functions of the second kind with complex orderK 1 2+iβ (x) are presented. Inequalities giving estimations for these functions with argument x and parameter β are obtained. The polynomial approximations of these functions as a solutions of linear differential equations with polynomial coefficients and their systems are proposed.

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تاریخ انتشار 2010