Results 21 to 30 of about 11,043 (164)
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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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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Extension of Oppenheim's Problem to Bessel Functions
Journal of Inequalities and Applications, 2008 Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we deduce the hyperbolic analogue of these trigonometric inequalities, and we extend these inequalities to modified Bessel functions.
Ling Zhu, Árpád Baricz
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On some integrals of products of cylindrical functions
Физика волновых процессов и радиотехнические системы, 2019 For a number of solutions to problems of a multilayer optical fiber, the field of which in each layer is described by the sum of the corresponding Bessel functions, integrals of the products of these functions are of interest.
V.A. Burdin
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On the zeros of the Macdonald functions [PDF]
Opuscula Mathematica, 2019 We are concerned with the zeros of the Macdonald functions or the modified Bessel functions of the second kind with real index. By using the explicit expressions for the algebraic equations satisfied by the zeros, we describe the behavior of the zeros ...
Yuji Hamana +2 more
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Journal of Electronic Science and TechnologyThe spherically layered media theory has wide applications for electromagnetic wave scattering analysis. Due to the involved Bessel functions, the conventional formulations of the spherically layered media theory suffer from numerical overflow or ...
Jia-Hui Wang, Bo O. Zhu
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Arithmetic Means for a Class of Functions and the Modified Bessel Functions of the First Kind
Mathematics, 2019 In the paper, by virtue of the residue theorem in the theory of complex functions, the authors establish several identities between arithmetic means for a class of functions and the modified Bessel functions of the first kind, present several identities ...
Feng Qi, Shao-Wen Yao, Bai-Ni Guo
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Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In this paper, the systems with solutions in the form of degenerate hypergeometric Humbert functions of two variables reduced to Bessel functions of two variables are established and studied.
Zh.N. Tasmambetov, A.A. Issenova
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Dataset of Bessel function Jn maxima and minima to 600 orders and 10000 extrema
Data in Brief, 2021 Bessel functions of the first kind are ubiquitous in the sciences and engineering in solutions to cylindrical problems including electrostatics, heat flow, and the Schrödinger equation.
Nicholas A. Mecholsky +4 more
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Laplace Transform Methods for Bessel and Modified Bessel Equations: Theory and Applications
AxiomsThis paper revisits the use of the Laplace transform in the study of Bessel and modified Bessel differential equations. Rather than presenting the method as a new alternative to the classical Frobenius approach, the paper is organized as a pedagogical ...
Osman Yürekli
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