Results 21 to 30 of about 11,888,948 (254)
A new type of sharp bounds for ratios of modified Bessel functions [PDF]
, 2016 The bounds for the ratios of first and second kind modified Bessel functions of consecutive orders are important quantities appearing in a large number of scientific applications.
D. Ruiz-Antolín, J. Segura
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APPLICATION OF THE BESSEL-HYBRID FUNCTIONS FOR THE LINEAR FREDHOLM-VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS [PDF]
Romanian Journal of Mathematics and Computer Science, 2015 In this paper a collocation method based on the Bessel-hybrid functions is used for approximation of the solution of linear Fredholm-Volterra integro-differential equations (FVIDEs) under mixed conditions.
YADOLLAH ORDOKHANI, HANIYE DEHESTANI
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Inequalities for the Modified k-Bessel Function
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 k-Bessel functions ...
Saiful Rahman Mondal +1 more
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Certain Geometric Properties of Lommel and Hyper-Bessel Functions
Mathematics, 2019 In this article, we are mainly interested in finding the sufficient conditions under which Lommel functions and hyper-Bessel functions are close-to-convex with respect to the certain starlike functions.
Saima Mushtaq, Mohsan Raza, Muhey U Din
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Some Fractional Operators with the Generalized Bessel–Maitland Function
Discrete Dynamics in Nature and Society, 2020 In this paper, we aim to determine some results of the generalized Bessel–Maitland function in the field of fractional calculus. Here, some relations of the generalized Bessel–Maitland functions and the Mittag-Leffler functions are considered. We develop
R. S. Ali +5 more
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, 2018 Let Iv (x) be modified Bessel functions of the first kind. We prove the monotonicity property of the function x → Iu (x) Iv (x)/I(u+v)/2 (x) on (0,∞) .
Zhen-Hang Yang, Shenzhou Zheng
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A Neumann series of Bessel functions representation for solutions of perturbed Bessel equations [PDF]
, 2016 A new representation for a regular solution of the perturbed Bessel equation of the form Lu=-u″+l(l+1)x2+q(x)u=ω2u $ Lu=-u^{\prime \prime }+\left( \frac{l(l+1)}{x^{2}}+q(x)\right) u=\omega ^{2}u $ is obtained.
V. Kravchenko +2 more
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Novel results on conformable Bessel functions
Nonlinear Engineering, 2022 Novel results on conformable Bessel functions are proposed in this study. We complete this study by proposing and proving certain properties of the Bessel functions of first order involving their conformable derivatives or their zeros.
Martínez Francisco +3 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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Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions [PDF]
Applied Mathematics and Computation, 2015 A new representation of solutions to the equation −y′′+q(x)y=ω2y is obtained. For every x the solution is represented as a Neumann series of Bessel functions depending on the spectral parameter ω. Due to the fact that the representation is obtained using
V. Kravchenko, Luis J. Navarro, S. Torba
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