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Some Inequalities for Modified Bessel Functions [PDF]

Journal of Inequalities and Applications, 2010
We denote by and the Bessel functions of the first and third kinds, respectively. Motivated by the relevance of the function , , in many contexts of applied mathematics and, in particular, in some elasticity problems Simpson and Spector (1984), we
Laforgia Andrea, Natalini Pierpaolo
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Bounds for Tur\'anians of modified Bessel functions

Expositiones Mathematicae, 2013
Motivated by some applications in applied mathematics, biology, chemistry, physics and engineering sciences, new tight Tur\'an type inequalities for modified Bessel functions of the first and second kind are deduced.
Alexandrov, Amos, Baricz, Baricz, Baricz, Baricz, Baricz, Baricz, Baricz, Baricz, Baricz, Bertini, Bhattacharya, Erdélyi, Fabrizi, Giorgi, Giorgi, Grandison, Gronwall, Hamsici, Hamsici, Hamsici, Hartman, Hartman, Hartman, Hasan, Ismail, Ismail, Ismail, Joshi, Klimek, Kokologiannaki, Laforgia, Laforgia, Lechleiter, Lombardo, Lorch, Lushnikov, Marchand, Marchand, Marchand, Nasell, Paltsev, Penfold, Phillips, Radwan, Radwan, Robert, Schlenk, Segura, Simitev, Simon, Tanabe, Thabane, Thiruvenkatachar, van Haeringen, Watson, Watson, Árpád Baricz   +58 more
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Functional inequalities for modified Bessel functions [PDF]

Expositiones Mathematicae, 2011
14 ...
Árpád Baricz, Saminathan Ponnusamy, Matti Vuorinen   +2 more
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Inequalities for the modified k-Bessel function [PDF]

International Journal of Analysis and Applications, 2017
The article considers the generalized k-Bessel functions and represents it as Wright functions. Then we study the monotonicity properties of the ratio of two different orders k- Bessel functions, and the ratio of the k-Bessel and the m-Bessel functions. The log-convexity with respect to the order of the k-Bessel also given.
Saiful R. Mondal, Kottakkaran Sooppy Nisar   +1 more
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Complete Monotonicity of Modified Bessel Functions [PDF]

Proceedings of the American Mathematical Society, 1990
We prove that if ν > 1 / 2 \nu > 1/2 , then 2 ν − 1 Γ ( ν ) / [ x ν
Mourad E. H. Ismail
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Note on modified generalized Bessel function

Proyecciones (Antofagasta), 2023
An attempt is made to define Modified Generalized Bessel Function, and Modified Generalized Bessel Matrix Function. Some properties have also been discussed.
Farhatbanu H. Patel, Ranjan Kumar Jana, A. K. Shukla   +2 more
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Definite Integrals involving Modified Bessel Functions

          In this paper, we develop fifteen definite integral involving Modified Bessel function of first kind. Furthermore, we also develop the generalized formula for the same using Inspection method.
M.P. Chaudhary, Salah Uddin, Amresh Yadav, Hervé Wendpagnagdé Ouedraogo   +3 more
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Asymptotic estimates of the difference of products of Bessel functions by the integral of these functions

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
In the study of direct and inverse problems of finding the right-hand side of degenerate equations of mixed type with different boundary conditions, the problem arises of establishing asymptotic estimates for the differences of the products of ...
Kamil Basirovich Sabitov
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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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