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Extension of Oppenheim’s problem to Bessel functions. (English) Zbl 1133.33005

Summary: Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we deduce the hyperbolic analogue of these trigonometric inequalities, and we extend these inequalities to modified Bessel functions.

MSC:

33C10 Bessel and Airy functions, cylinder functions, \({}_0F_1\)
26D05 Inequalities for trigonometric functions and polynomials
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References:

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