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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)

  1. A. Baricz, "Bounds for modified Bessel functions of the first and second kinds", Proc. Edinb. Math. Soc., 53(3), pp.575~599 (2010)
  2. A. Baricz, "Functional inequalities for modified Struve functions", Proc. Roy. Soc. Edinburgh Sect. A, 144(5), pp.891~904 (2014)
  3. 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)
  4. A. Gasmi, "The Bessel-Struve intertwining operator on C and mean-periodic functions", Int. J. Math. Math. Sci, (57-60), pp.3171~3185 (2004)
  5. A. Gasmi, "Fock spaces for the Bessel-Struve kernel", J. Anal. Appl, 3(2), pp.91~106 (2005)
  6. L. Kamoun, "Bessel-Struve intertwining operator and generalized Taylor series on the real line", Integral Transforms Spec. Funct, 16(1), pp.39~55 (2005)
  7. D. Karp, "Log-convexity and log-concavity of hypergeometric-like func-tions", J. Math. Anal. Appl, 364(2), pp.384~394 (2010)
  8. D. S. Mitrinovic, "Analytic Inequalities" (1970), Springer

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