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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.
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참고문헌 (8)
참고문헌 신청
A. Baricz / 2010 / Bounds for modified Bessel functions of the first and second kinds / Proc. Edinb. Math. Soc. 53(3):575~599
A. Baricz / 2014 / Functional inequalities for modified Struve functions / Proc. Roy. Soc. Edinburgh Sect. A 144(5):891~904
M. Biernacki / 1955 / On the monotonity of certain functionals in the theory of analytic functions / Ann. Univ. Mariae Curie-Sk lodowska. Sect. A 9:135~147
A. Gasmi / 2004 / The Bessel-Struve intertwining operator on C and mean-periodic functions / Int. J. Math. Math. Sci (57-60):3171~3185
A. Gasmi / 2005 / Fock spaces for the Bessel-Struve kernel / J. Anal. Appl 3(2):91~106
A. Baricz / 2014 / Functional inequalities for modified Struve functions / Proc. Roy. Soc. Edinburgh Sect. A 144(5):891~904
M. Biernacki / 1955 / On the monotonity of certain functionals in the theory of analytic functions / Ann. Univ. Mariae Curie-Sk lodowska. Sect. A 9:135~147
A. Gasmi / 2004 / The Bessel-Struve intertwining operator on C and mean-periodic functions / Int. J. Math. Math. Sci (57-60):3171~3185
A. Gasmi / 2005 / Fock spaces for the Bessel-Struve kernel / J. Anal. Appl 3(2):91~106
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