Positive Trigonometric Integrals Associated with Some Lommel Functions of the First Kind
Date
2017ISSN
1660-5446Source
Mediterranean Journal of MathematicsVolume
14Issue
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We prove that (Formula Presented.), for all μ≥ 1 / 2 and x≥ π, where sμ,12(x) is the Lommel function of the first kind. This refines a result of Steinig published in 1972. As an application, we derive positive functional bounds for the functions sμ,12(x), μ≥ 1 / 2 and x≥ π. Furthermore, we give estimates for the location of the zeros of the functions sμ , 1 / 2(x) , - 3 / 2 0. © 2016, Springer International Publishing.