Several second order ODEs of the form 𝒚 ′′ + 𝒑(𝒙)𝒚 ′ + 𝒒(𝒙)𝒚 = 𝒓(𝒙) are of practical importance have Power series solution if coefficients p(x), q(x) and r(x) are functions instead of ...

Bessel functions, central to many problems in mathematical physics, provide solutions to differential equations that describe wave propagation, heat conduction and vibrations in cylindrical or ...

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Simple inequalities are established for some integrals involving the modified Bessel functions of the first and second kind. In most cases these inequalities are tight in certain limits. As a ...