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Integral Representations for Products of Two Bessel or Modified Bessel Functions [PDF]

Mathematics, 2019
The first part of the article contains integral expressions for products of two Bessel functions of the first kind having either different integer orders or different arguments.
Dragana Jankov Maširević, Tibor K. Pogány   +1 more
doaj   +5 more sources

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
doaj   +5 more sources

On a Sum of Modified Bessel Functions [PDF]

Mediterranean Journal of Mathematics, 2013
8 ...
Arpad Baricz, Tibor K Pogány
exaly   +5 more sources

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
core   +4 more sources

Bounds for modified Bessel functions

Journal of Computational and Applied Mathematics, 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.
Andrea Laforgia
exaly   +4 more sources

Redheffer type inequalities for modified Bessel functions

Arab Journal of Mathematical Sciences, 2016
In this short note, we give new proofs of Redheffer’s inequality for modified Bessel functions of first kind published by Ling Zhu (2011). In addition, using the Grosswald formula we prove new Redheffer type inequality for the modified Bessel functions ...
Khaled Mehrez
doaj   +3 more sources

Jordan type inequalities involving the Bessel and modified Bessel functions

Computers and Mathematics With Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ling Zhu
exaly   +3 more sources

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, Sarfraz Nawaz Malik, Qin Xin, Muhey U. Din, Luminiţa-Ioana Cotîrlă   +4 more
doaj   +1 more source

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
doaj   +1 more source

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, Shahid Mubeen, Gauhar Rahman, Jihad Younis   +3 more
doaj   +1 more source