Functional inequalities involving Bessel and modified Bessel functions of the first kind
Copyright policy )Functional inequalities involving Bessel and modified Bessel functions of the first kind
Since the sine and cosine functions and the hyperbolic sine and cosine functions are particular cases of Bessel and modifed Bessel functions, the author extends the inequality \(\cosh x-1\), where \(\Gamma\) is Euler gamma function and \(I_{p}(x)\) is the modified Bessel function of first kind. Some properties and inequalities satisfied by \(G_{p}(x)\) are proved in order to improve some known results and to present some new inequalities involving Bessel functions of the first kind.
- Babeș-Bolyai University Romania
Mathematics(all), Lazarevic-type inequality, Modified Bessel functions, Kummer's hypergeometric functions, Turan-type inequality, Bessel functions, modified Bessel functions, Wilker's inequality, Confluent hypergeometric functions, Whittaker functions, \({}_1F_1\), Inequalities for trigonometric functions and polynomials, Turán-type inequality, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Lazarević-type inequality
Mathematics(all), Lazarevic-type inequality, Modified Bessel functions, Kummer's hypergeometric functions, Turan-type inequality, Bessel functions, modified Bessel functions, Wilker's inequality, Confluent hypergeometric functions, Whittaker functions, \({}_1F_1\), Inequalities for trigonometric functions and polynomials, Turán-type inequality, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Lazarević-type inequality
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