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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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q-Sumudu Transforms of q-Analogues of Bessel Functions [PDF]
The Scientific World Journal, 2014 The main purpose of this paper is to evaluate q-Sumudu transforms of a product of q-Bessel functions. Interesting special cases of theorems are also discussed.
Faruk Uçar
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Monotonicity of the ratio of modified Bessel functions of the first kind with applications. [PDF]
J Inequal Appl, 2018 Yang ZH, Zheng SZ.
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The Bessel equation on the quantum calculus [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 A large number of the most diverse problems related to almost all the most important branches of mathematical physics and designed to answer topical technical questions are associated with the use of Bessel functions.
S. Shaimardan +2 more
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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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Barekeng, 2022 Bessel functions find many applications in Physics and Engineering fields. Some of these applications are in the analysis of extended surface heat transfer where the cross-sections vary.
Irvan Irvan +4 more
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Starlikeness of Normalized Bessel Functions with Symmetric Points
Journal of Function Spaces, 2021 Bessel functions are related with the known Bessel differential equation. In this paper, we determine the radius of starlikeness for starlike functions with symmetric points involving Bessel functions of the first kind for some kinds of normalized ...
Maryam Nazir +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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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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On some geometric properties and Hardy class of q-Bessel functions
AIMS Mathematics, 2020 In this paper, we deal with some geometric properties including starlikeness and convexity of order α of Jackson’s second and third q-Bessel functions which are natural extensions of classical Bessel function Jν.
İbrahim Aktaş
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