Monotonicity properties of the Bessel-Struve kernel
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In this paper our aim is to study the classical Bessel-Struve kernel. Monotonicity and log-convexity properties for the Bessel-Struve kernel, and the ratio of the Bessel-Struve kernel and the Kummer confluent hypergeometric function are investigated. Moreover, lower and upper bounds are given for the Bessel-Struve kernel in terms of the exponential function and some Tur\'an type inequalities are deduced.
Abstract
In this paper our aim is to study the classical Bessel-Struve kernel. Monotonicity and log-convexity properties for the Bessel-Struve kernel, and the ratio of the Bessel-Struve kernel and the Kummer confluent hypergeometric function are investigated. Moreover, lower and upper bounds are given for the Bessel-Struve kernel in terms of the exponential function and some Tur\'an type inequalities are deduced.
참고문헌 (8)
- A. Baricz, "Bounds for modified Bessel functions of the first and second kinds", Proc. Edinb. Math. Soc., 53(3), pp.575~599 (2010)
- A. Baricz, "Functional inequalities for modified Struve functions", Proc. Roy. Soc. Edinburgh Sect. A, 144(5), pp.891~904 (2014)
- M. Biernacki, "On the monotonity of certain functionals in the theory of analytic functions", Ann. Univ. Mariae Curie-Sk lodowska. Sect. A, 9, pp.135~147 (1955)
- A. Gasmi, "The Bessel-Struve intertwining operator on C and mean-periodic functions", Int. J. Math. Math. Sci, (57-60), pp.3171~3185 (2004)
- A. Gasmi, "Fock spaces for the Bessel-Struve kernel", J. Anal. Appl, 3(2), pp.91~106 (2005)
- L. Kamoun, "Bessel-Struve intertwining operator and generalized Taylor series on the real line", Integral Transforms Spec. Funct, 16(1), pp.39~55 (2005)
- D. Karp, "Log-convexity and log-concavity of hypergeometric-like func-tions", J. Math. Anal. Appl, 364(2), pp.384~394 (2010)
- D. S. Mitrinovic, "Analytic Inequalities" (1970), Springer
