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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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A new product formula involving Bessel functions [PDF]
Integral transforms and special functions, 2020 In this paper, we consider the normalized Bessel function of index , we find an integral representation of the term . This allows us to establish a product formula for the generalized Hankel function on .
Mohamed Amine Boubatra +2 more
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Advances in Differential Equations, 2021 This paper deals with Al-Salam fractional q -integral operator and its application to certain q -analogues of Bessel functions and power series. Al-Salam fractional q -integral operator has been applied to various types of q -Bessel functions and some ...
S. Al-Omari, D.L. Suthar, S. Araci
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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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Geometric and monotonic properties of hyper-Bessel functions [PDF]
The Ramanujan journal, 2018 Some geometric properties of a normalized hyper-Bessel functions are investigated. Especially we focus on the radii of starlikeness, convexity, and uniform convexity of hyper-Bessel functions and we show that the obtained radii satisfy some ...
I. Aktas, Á. Baricz, Sanjeev Singh
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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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The radius of uniform convexity of Bessel functions [PDF]
, 2017 In this paper, we determine the radius of uniform convexity for three kinds of normalized Bessel functions of the first kind. In the cases considered the normalized Bessel functions are uniformly convex on the determined disks.
E. Deniz, R'obert Sz'asz
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Inequalities for integrals of modified Bessel functions and expressions involving them [PDF]
Journal of Mathematical Analysis and Applications, 2017 Simple inequalities are established for some integrals involving the modified Bessel functions of the first and second kind. In most cases, we show that we obtain the best possible constant or that our bounds are tight in certain limits.
Robert E. Gaunt
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