Monotonicity Properties for Ratios and Products of Modified Bessel Functions and Sharp Trigonometric Bounds [PDF]
Results in Mathematics, 2021 Let $$I_{\nu }(x)$$ I ν ( x ) and $$K_{\nu }(x)$$ K ν ( x ) be the first and second kind modified Bessel functions. It is shown that the nullclines of the Riccati equation satisfied by $$x^{\alpha } \Phi _{i,\nu }(x)$$ x α Φ i , ν ( x ) , $$i=1,2$$ i = 1
J. Segura
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On Kudriasov Conditions for Univalence of Integral Operators Defined by Generalized Bessel Functions
Mathematics, 2022 In this article, we studied the necessary conditions for the univalence of integral operators that involve two functions: the generalized Bessel function and a function from the well-known class of normalized analytic functions in the open unit disk. The
Mohsan Raza +4 more
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The Spherical Harmonic Family of Beampatterns
Acoustics, 2022 The free space solution to the wave equation in spherical coordinates is well known as a separable product of functions. Re-examination of these functions, particularly the sums of spherical Bessel and harmonic functions, reveals behaviors which can ...
Kevin J. Parker, Miguel A. Alonso
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Relation of Some Known Functions in terms of Generalized Meijer G-Functions
Journal of Mathematics, 2021 The aim of this paper is to prove some identities in the form of generalized Meijer G-function. We prove the relation of some known functions such as exponential functions, sine and cosine functions, product of exponential and trigonometric functions ...
Syed Ali Haider Shah +3 more
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Liouville-Green expansions of exponential form, with an application to modified Bessel functions [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2017 Linear second order differential equations of the form d2w/dz2 − {u2f(u, z) + g(z)}w = 0 are studied, where |u| → ∞ and z lies in a complex bounded or unbounded domain D.
T. M. Dunster
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Explicit solutions to fractional diffusion equations via Generalized Gamma Convolution [PDF]
, 2010 In this paper we deal with Mellin convolution of generalized Gamma densities which leads to integrals of modified Bessel functions of the second kind. Such convolutions allow us to explicitly write the solutions of the time-fractional diffusion equations
D'Ovidio, Mirko
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Inequalities for some integrals involving modified Bessel functions [PDF]
Proceedings of the American Mathematical Society, 2018 Simple inequalities are established for some integrals involving the modified Bessel functions of the first and second kind. In most cases these inequalities are tight in certain limits.
Robert E. Gaunt
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Bounds for modified Bessel functions of the first and second kinds
Proceedings of the Edinburgh Mathematical Society, 2010 Á. Baricz
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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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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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