Results 11 to 20 of about 92,603 (214)
New Sharp Bounds for the Modified Bessel Function of the First Kind and Toader-Qi Mean
Mathematics, 2020 Let I v x be he modified Bessel function of the first kind of order v. We prove the double inequality sinh t t cosh 1 / q q t
Zhen-Hang Yang +2 more
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New Bounds for the Modified Bessel Function of the First Kind and Toader-Qi Mean
Mathematics, 2021 Let Ipx be the modified Bessel function of the first kind of order p. The upper and lower bounds in the form of simple rational functions about cosht and (sinht)/t for the function I0x are obtained.
Ling Zhu
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Some Inequalities for Modified Bessel Functions [PDF]
Journal of Inequalities and Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
LAFORGIA, Andrea Ivo Antonio +1 more
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Turán-Type Inequalities for Bessel, Modified Bessel and Kr ̈tzel Functions
Journal of Kufa for Mathematics and Computer, 2018 We establish Turán-type inequalities for Bessel functions, modified Bessel functions, Kr ̈tzel function and Beta function, by using a new form of Cauchy–Bunyakovsky–Schwarz inequality.
Piyush Kumar Bhandari, S. K. Bissu
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Asymptotic expansions for the first hitting times of Bessel processes [PDF]
Opuscula Mathematica, 2021 We study a precise asymptotic behavior of the tail probability of the first hitting time of the Bessel process. We deduce the order of the third term and decide the explicit form of its coefficient.
Yuji Hamana +2 more
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New index transforms of the Lebedev- Skalskaya type [PDF]
, 2015 New index transforms, involving the real part of the modified Bessel function of the first kind as the kernel are considered. Mapping properties such as the boundedness and invertibility are investigated for these operators in the Lebesgue spaces ...
Yakubovich, Semyon
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Inequalities for Modified Bessel Functions [PDF]
Mathematics of Computation, 1974 A sequence of sharp versions of the inequality I v + 1 ( x ) > I v ( x ) , v > − 1 2
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Some inequalities of Bessel and modified Bessel functions [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1991 AbstractTwo-sided inequalties for the ratio of modified Bessel functions of first kind are given, which provide sharper upper and lower bounds than had been known earlier. Wronskian type inequalities for Bessel functions are proved, and in the sequel alternative proofs of Turan-type inequalities for Bessel and modified Bessel functions are also ...
C. M. Joshi, S. K. Bissu
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Non-Fuchsian Singularities in Quantum Mechanics [PDF]
, 1999 A modification of the spiked harmonic oscillator is studied in the case for which the perturbation potential contains both an inverse power and a linear term.
Esposito, Giampiero
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Bounds for modified bessel functions
Rendiconti del Circolo Matematico di Palermo, 1991 Aus Monotonieeigenschaften von \(I_{v+1}/I_ v\) und \(K_{v+1}/K_ v\) werden Schranken für \(I_ v\) und \(K_ v\) gewonnen und diskutiert.
Ifantis, E. K., Siafarikas, P. D.
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