engleski

On multiple generalized Mathieu series

Closed integral form expressions and different kinds of bounding inequalities are obtained for the m-fold generalized Mathieu series where s, q are positive m-tuples that ensure the convergence of Mathieu series. Connections to the first kind Bessel functions are given.

Bessel function of first kind $J_\nu(x)$ ; Dirichlet series ; Euler– McLaurin summation formula ; Hurwitz zeta-function ; Landau bounds for $J_\nu(x)$ ; Multiple generalized Mathieu series

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