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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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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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Bessel Transform of -Bessel Lipschitz Functions
Journal of Mathematics, 2013 Using a generalized translation operator, we obtain an analog of Theorem 5.2 in Younis (1986) for the Bessel transform for functions satisfying the -Bessel Lipschitz condition in .
Radouan Daher, Mohamed El Hamma
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On Geometric Properties of Normalized Hyper-Bessel Functions
Mathematics, 2019 In this paper, the normalized hyper-Bessel functions are studied. Certain sufficient conditions are determined such that the hyper-Bessel functions are close-to-convex, starlike and convex in the open unit disc.
Khurshid Ahmad +5 more
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Appell-Type Functions and Chebyshev Polynomials
Mathematics, 2019 In a recent article we noted that the first and second kind Cebyshev polynomials can be used to separate the real from the imaginary part of the Appell polynomials. The purpose of this article is to show that the same classic polynomials can also be used
Pierpaolo Natalini, Paolo Emilio Ricci
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On the Zeros of the Big q-Bessel Functions and Applications
Mathematics, 2020 This paper deals with the study of the zeros of the big q-Bessel functions. In particular, we prove new orthogonality relations for functions which are similar to the one for the classical Bessel functions.
Fethi Bouzeffour +2 more
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