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Relevant bibliographies by topics / Bessel functions

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Academic literature on the topic 'Bessel functions'

Author: Grafiati

Published: 4 June 2021

Last updated: 13 June 2025

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Journal articles on the topic "Bessel functions"

1

Novelli, Jean-Christophe, and Jean-Yves Thibon. "Noncommutative Symmetric Bessel Functions." Canadian Mathematical Bulletin 51, no. 3 (2008): 424–38. http://dx.doi.org/10.4153/cmb-2008-043-3.

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AbstractThe consideration of tensor products of 0-Hecke algebramodules leads to natural analogs of the BesselJ-functions in the algebra of noncommutative symmetric functions. This provides a simple explanation of various combinatorial properties of Bessel functions.

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Hu, X., H. Wang, and D. S. Guo. "Phased Bessel functions." Canadian Journal of Physics 86, no. 7 (2008): 863–70. http://dx.doi.org/10.1139/p08-009.

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In the study of photon-state transitions, we found a natural extension of the first kind of Bessel functions that extends both the range and domain of the Bessel functions from the real number field to the complex number field. We term the extended Bessel functions as phased Bessel functions. This extension is completely different from the traditional “analytical extension”. The new complex Bessel functions satisfy addition, subtraction, and recurrence theorems in a complex range and a complex domain. These theorems provide short cuts in calculations. The single-phased Bessel functions are generalized to multiple-phased Bessel functions to describe various photon-state transitions.PACS Nos.: 02.30.Gp, 32.80.Rm, 42.50.Hz

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Daher, Radouan, and Mohamed El Hamma. "Bessel Transform of -Bessel Lipschitz Functions." Journal of Mathematics 2013 (2013): 1–3. http://dx.doi.org/10.1155/2013/418546.

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Ifantis, E. K., and P. D. Siafarikas. "Inequalities involving Bessel and modified Bessel functions." Journal of Mathematical Analysis and Applications 147, no. 1 (1990): 214–27. http://dx.doi.org/10.1016/0022-247x(90)90394-u.

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Nahid, Tabinda, and Mahvish Ali. "Several characterizations of Bessel functions and their applications." Georgian Mathematical Journal 29, no. 1 (2021): 83–93. http://dx.doi.org/10.1515/gmj-2021-2108.

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Abstract The present work deals with the mathematical investigation of some generalizations of Bessel functions. The main motive of this paper is to show that the generating function can be employed efficiently to obtain certain results for special functions. The complex form of Bessel functions is introduced by means of the generating function. Certain enthralling properties for complex Bessel functions are investigated using the generating function method. By considering separately the real and the imaginary part of complex Bessel functions, we get respectively cosine-Bessel functions and sine-Bessel functions for which several novel identities and Jacobi–Anger expansions are established. Also, the generating function of degenerate Bessel functions is investigated and certain novel identities are obtained for them. A hybrid form of degenerate Bessel functions, namely, of degenerate Fubini–Bessel functions, is constructed using the replacement technique. Finally, the explicit forms of the real and the imaginary part of complex Bessel functions are established by a hypergeometric approach.

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Joshi, C. M., and S. K. Bissu. "Some inequalities of Bessel and modified Bessel functions." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 50, no. 2 (1991): 333–42. http://dx.doi.org/10.1017/s1446788700032791.

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AbstractTwo-sided inequalties for the ratio of modified Bessel functions of first kind are given, which provide sharper upper and lower bounds than had been known earlier. Wronskian type inequalities for Bessel functions are proved, and in the sequel alternative proofs of Turan-type inequalities for Bessel and modified Bessel functions are also discussed. These then lead to a two-sided inequality for Bessel functions. Also incorporated in the discussion is an inequality for the ratio of two Bessel functions for 0 < x < 1. Verifications of these inequalities are pointed out numerically.

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SHEHATA, Ayman. "Extended Bessel Matrix Functions." Mathematical Sciences and Applications E-Notes 6, no. 1 (2018): 1–11. http://dx.doi.org/10.36753/mathenot.421743.

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Cesarano, C., B. Germano, and P. E. Ricci. "Laguerre-type bessel functions." Integral Transforms and Special Functions 16, no. 4 (2005): 315–22. http://dx.doi.org/10.1080/10652460412331270629.

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Gilbert, Richard C., and John Mathews. "UsingMathematicato teach Bessel functions." International Journal of Mathematical Education in Science and Technology 24, no. 1 (1993): 45–53. http://dx.doi.org/10.1080/0020739930240106.

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Virchenko, Nina O., and Victor O. Haidey. "On generalizedm-bessel functions." Integral Transforms and Special Functions 8, no. 3-4 (1999): 275–86. http://dx.doi.org/10.1080/10652469908819234.

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Dissertations / Theses on the topic "Bessel functions"

1

Qi, Zhi. "Theory of Bessel Functions of High Rank." The Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1428530485.

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Hornik, Kurt, and Bettina Grün. "Amos-type bounds for modified Bessel function ratios." Elsevier, 2013. http://dx.doi.org/10.1016/j.jmaa.2013.05.070.

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Castillo, René Erlin. "Generalized Non-Autonomous Kato Classes and Nonlinear Bessel Potentials." Ohio University / OhioLINK, 2005. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1121964346.

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Orr, Andrew McLean White. "Computational techniques for evaluating extremely low frequency electromagnetic fields produced by a horizontal electric dipole in seawater." Thesis, King's College London (University of London), 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.326222.

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Coelho, João Bosco. "Corda vibrante e telegrafo : estudo analitico de problemas modelados por equações diferenciais." [s.n.], 2008. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307008.

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Orientador: Edmundo Capelas de Oliveira<br>Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-11T05:13:17Z (GMT). No. of bitstreams: 1 Coelho_JoaoBosco_M.pdf: 1003588 bytes, checksum: c8b5b0bbc0f7fe49adbeacc39f398bcf (MD5) Previous issue date: 2008<br>Resumo: Efetua-se um estudo sistemático das equações diferenciais parciais, lineares, de segunda ordem e do tipo hiperbólico, isto é, aquelas equações que estão associadas com o problema envolvendo a propagação de ondas. Como uma aplicação, discute-se o problema de ondas de corrente e ondas de tensão, através da chamada equação do telégrafo, também conhecida como equação dos telegrafistas. Casos particulares são discutidos tanto do ponto de vista matemático quanto do ponto de vista físico. Apresenta-se o método de Riemann como ferramenta para discutir a solução geral<br>Abstract: We perform a systematic way to study the linear, second order partial differential equation of the hyperbolic type, that is, those equations which are associated with the problem involving wave propagation. As an application, we discuss the problem associated with the current waves and tension waves by means of the so-called telegraph equation, also known as telephone equation. Particular cases are discussed in both sense, Mathematic and Physical point of view. We also present the Riemann¿s method as a powerful tool to discuss the general solution<br>Mestrado<br>Mestre em Matemática

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Polat, Zeynep Sonay. "Studies On The Generalized And Reverse Generalized Bessel Polynomials." Master's thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/12604961/index.pdf.

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The special functions and, particularly, the classical orthogonal polynomials encountered in many branches of applied mathematics and mathematical physics satisfy a second order differential equation, which is known as the equation of the hypergeometric type. The variable coefficients in this equation of the hypergeometric type are of special structures. Depending on the coefficients the classical orthogonal polynomials associated with the names Jacobi, Laguerre and Hermite can be derived as solutions of this equation. In this thesis, these well known classical polynomials as well as another class of polynomials, which receive less attention in the literature called Bessel polynomials have been studied.

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LICCIARDI, SILVIA. "Umbral calculus a different mathematical language." Doctoral thesis, Università degli studi di Catania, 2018. http://hdl.handle.net/20.500.11769/491021.

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The thesis is aimed at a thorough exposition of the Umbral Method, relevant in the theory of special functions, for the solution of ordinary and partial differential equations, including those of fractional nature. It will provide an account of the theory and applications of Operational Methods allowing the "translation" of the theory of special functions and polynomials into a "different" mathematical language. The language we are referring to is that of symbolic methods, largely based on a formalism of umbral type which provides a tremendous simplification of the derivation of the associated properties, with significant advantages from the computational point of view, either analytical or to derive efficient numerical methods to handle integrals, ordinary and partial differential equations, special functions and physical problems solutions. The strategy we will follow is that of establishing the rules to replace higher trascendental functions in terms of elementary functions, taking advantage from such a recasting. Albeit the point of view discussed here is not equivalent to that developed by Rota and coworkers, we emphasize that it deepens its root into the Heaviside operational calculus and into the methods introduced by the operationalists (Sylvester, Boole, Glaisher, Crofton and Blizard) of the second half of the XIX century. The method has opened new avenues to deal with rational, trascendental and higher order trascendental functions, by the use of the same operational forms. The technique had been formulated in general enough terms to be readily extended to the fractional calculus. The starting point of our theory is the use of the Borel transform methods to put the relevant mathematical foundation on rigorous grounds. Our target is the search for a common thread between special functions, the relevant integral representation, the differential equations they satisfy and their group theoretical interpretation, by embedding all the previously quoted features within the same umbral formalism. The procedure we envisage allows the straightforward derivation of (not previously known) integrals involving e.g. the combination of special functions or the Cauchy type partial differential equations (PDE) by means of new forms of solution of evolution operator, which are extended to fractional PDE. It is worth noting that our methods allow a new definition of fractional forms of Poisson distributions different from those given in processes involving fractional kinetics. A noticeable amount of work has been devoted to the rigorous definition of the evolution operator and in particular the problem of its hermiticity properties and more in general of its invertibility. Much effort is devoted to the fractional ordering problem, namely the use of non-commuting operators in fractional evolution equations and to time ordering. We underscore the versatility and the usefulness of the proposed procedure by presenting a large number of application of the method in different fields of Mathematics and Physics .

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Lumori, Mikaya Lasuba Delesuk. "Microwave power deposition in bounded and inhomogeneous lossy media." Diss., The University of Arizona, 1988. http://hdl.handle.net/10150/184389.

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We present Bessel function and Gaussian beam models for a study of microwave power deposition in bounded and inhomogeneous lossy media. The aim is to develop methods that can accurately simulate practical results commonly found in electromagnetic hyperthermic treatment, which is a noninvasive method. The Bessel function method has a closed form solution and can be used to compute accurate results of electromagnetic fields emanating from applicators with cosinusoidal aperture fields. On the other hand, the Gaussian beam method is approximate but has the capability to simplify boundary value problems and to compute fields in three-dimensions with extremely low CPU time (less than 30 sec). Although the Gaussian beam method is derived from geometrical optics theory, it performs very well in domains outside the realm of geometrical optics which stipulates that aperture dimension/λ ≥ 5 in the design of microwave systems. This condition has no relevance to the Gaussian beam method since the method shows that a limit of aperture dimension/ λ ≥ 0.9 is possible, which is a very important achievement in the design and application of microwave systems. Experimental verifications of the two theoretical models are integral parts of the presentation and show the viability of the methods.

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Garay, Avendaño Roger Leonardo 1984. "Formulação analítica exata de feixes eletromagnéticos não paraxiais." [s.n.], 2013. http://repositorio.unicamp.br/jspui/handle/REPOSIP/259682.

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Orientador: Michel Zamboni Rached<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Elétrica e de Computação<br>Made available in DSpace on 2018-08-22T19:43:51Z (GMT). No. of bitstreams: 1 GarayAvendano_RogerLeonardo_M.pdf: 3532246 bytes, checksum: c57f4a9f337b3e0e75f701a896e690a0 (MD5) Previous issue date: 2013<br>Resumo: Embora a propagação de feixes ópticos seja um tema muito investigado, existe ainda uma grande variedade de estudos a se efetuar, principalmente no desenvolvimento de métodos que permitam, de forma analítica, a descrição exata da enorme diversidade de feixes com propriedades distintas. A principal contribuição desta dissertação é a proposta de uma metodologia matemática para a obtenção de feixes escalares e eletromagnéticos não paraxiais puramente propagantes como soluções analíticas exatas da equação de onda e das equações de Maxwell. Tal método baseia-se em uma solução analítica para as integrais que descrevem superposições de feixes de Bessel de ordem zero (não evanescentes) com qualquer tipo de função espectral. Exemplos de feixes não paraxiais são apresentados para a validação do método proposto neste trabalho, os quais provam a grande eficiência em termos do pouco esforço computacional quando são comparados com os métodos de outros autores<br>Abstract: Although the propagation of optical beams has been vastly studied, there is still a huge amount of research topics to be exploited, mainly regarding the developing of exact analytic methods. The main contribution of this work is the development of a mathematical methodology to obtain nonparaxial propagating scalar and electromagnetic beams as exact analytic solutions of the wave equation and Maxwell's equations, respectively. This method is based on a very general solution to the continuous superposition of zero order Bessel beams (non-evanescent) with any kind of spectral function. Examples of non paraxial beams are shown to validate the method proposed in this work, which proves to be very efficient, based on low computational effort when compared to other author's methods<br>Mestrado<br>Telecomunicações e Telemática<br>Mestre em Engenharia Elétrica

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Mendousse, Grégory. "Analyse Harmonique Quaternionique et Fonctions Spéciales Classiques." Thesis, Reims, 2017. http://www.theses.fr/2017REIMS007/document.

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Ce travail s’inscrit dans l’étude des symétries d’espaces de dimension infinie. Il répond à des questions algébriques en suivant des méthodes analytiques. Plus précisément, nous étudions certaines représentations du groupe symplectique complexe dans des espaces fonctionnels. Elles sont caractérisées par leurs décompositions isotypiques relativement à un sous-groupe compact maximal. Ce travail décrit ces décompositions dans deux modèles : un modèle classique (dit compact) et un autre plus récent (dit non-standard). Nous montrons que cela établit un lien entre deux familles de fonctions spéciales (fonctions hypergéométriques et fonctions de Bessel) ; ces familles sont associées à des équations différentielles ordinaires d’ordre 2, fuchsiennes dans un cas et non fuchsiennes dans l’autre. Nous mettons aussi en évidence, dans le modèle non-standard, un lien avec certaines équations d'Emden-Fowler, ainsi qu’un opérateur différentiel simple qui agit sur les décompositions isotypiques<br>The general setting of this work is the study of symmetry groups of infinite-dimensional spaces. We answer algebraic questions, using analytical methods. To be more specific, we study certain representations of the complex symplectic group in functional spaces. These representations are characterised by their isotypic decompositions with respect to a maximal compact subgroup. In this work, we describe these decompositions in two different models: a classical model (compact picture) and a more recent one (non-standard picture). We show that this establishes a connection between two families of special functions (hypergeometric functions and Bessel functions); these families correspond to second order differential equations, which are Fuchsian in one case and non-Fuchsian in the other. We also establish a link with certain Emden-Fowler equations and exhibit a simple differential operator that acts on the isotypic decompositions

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Books on the topic "Bessel functions"

1

Watson, G. N. A treatise on the theory of Bessel functions. 2nd ed. Cambridge University Press, 1995.

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Cholewinski, Frank M. The finite calculus associated with Bessel functions. American Mathematical Society, 1988.

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Rappoport, I︠U︡ M. Metody vychislenii︠a︡ i tablit︠s︡y modifit︠s︡irovannykh funkt︠s︡iĭ Besseli︠a︡: Uchebnoe posobie. MATI, 2008.

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Rappoport, I︠U︡ M. Metody vychislenii︠a︡ i tablit︠s︡y modifit︠s︡irovannykh funkt︠s︡iĭ Besseli︠a︡: Uchebnoe posobie. MATI, 2008.

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Baricz, Árpád, Dragana Jankov Maširević, and Tibor K. Pogány. Series of Bessel and Kummer-Type Functions. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-74350-9.

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Baricz, Árpád. Generalized Bessel Functions of the First Kind. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-12230-9.

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Watson, G. N. A treatise on the theory of Bessel functions. Merchant Books, 2008.

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Farkas, Walter. Function spaces related to continuous negative definite functions: [psi]-Bessel potential spaces. Polska Akademia Nauk, Instytut Matematyczny, 2001.

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Neves, J. S. Lorentz-Karamata spaces, Bessel and Riesz potentials and embeddings. Polska Akademia Nauk, Instytut Matematyczny, 2002.

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Major, J. R. Automated measurement of frequency response of frequency-modulated generators using the Bessel null method. National Bureau of Standards, 1986.

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Book chapters on the topic "Bessel functions"

1

Mitschke, Fedor. "Bessel Functions." In Fiber Optics. Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-52764-1_15.

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Akhmedova, Valeriya, and Emil T. Akhmedov. "Bessel Functions." In SpringerBriefs in Physics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-35089-5_5.

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Mitschke, Fedor. "Bessel Functions." In Fiber Optics. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03703-0_15.

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Beebe, Nelson H. F. "Bessel functions." In The Mathematical-Function Computation Handbook. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-64110-2_21.

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Zhu, Yichao. "Bessel Functions." In Equations and Analytical Tools in Mathematical Physics. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-5441-1_5.

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Zhu, Yichao. "Bessel Functions." In Equations and Analytical Tools in Mathematical Physics. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-5441-1_5.

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Nikiforov, Arnold F., and Vasilii B. Uvarov. "Bessel Functions." In Special Functions of Mathematical Physics. Birkhäuser Boston, 1988. http://dx.doi.org/10.1007/978-1-4757-1595-8_3.

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Schwinger, Julian, and Kimball A. Milton. "Bessel Functions." In Classical Electrodynamics, 2nd ed. CRC Press, 2024. http://dx.doi.org/10.1201/9781003057369-18.

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Koranga, Bipin Singh, Sanjay Kumar Padaliya, and Vivek Kumar Nautiyal. "Bessel Function." In Special Functions and their Application. River Publishers, 2022. http://dx.doi.org/10.1201/9781003339595-4.

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Müller, Claus. "The Bessel Functions." In Analysis of Spherical Symmetries in Euclidean Spaces. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-0581-4_6.

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Conference papers on the topic "Bessel functions"

1

Masirevic, Dragana Jankov, Tibor K. Pogany, Arpad Bariez, and Aurel Galantai. "Sampling bessel functions and bessel sampling." In 2013 IEEE 8th International Symposium on Applied Computational Intelligence and Informatics (SACI). IEEE, 2013. http://dx.doi.org/10.1109/saci.2013.6608942.

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Gabrielli, Italo. "Acousto-optics without Bessel functions and Bessel functions by acousto-optics." In Acousto-Optics and Applications VI, edited by Antoni Sliwinski, Piotr Kwiek, Bogumil B. J. Linde, and A. Markiewicz. SPIE, 1995. http://dx.doi.org/10.1117/12.222762.

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RÖSLER, MARGIT. "Convolution algebras for multivariable Bessel functions." In Proceedings of the Fourth German–Japanese Symposium. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812832825_0017.

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Fathi, Mohammed A., and Abdul Rahman S. Juma. "Certain subclasses of univalent analytic functions defined by Bessel function." In 1ST SAMARRA INTERNATIONAL CONFERENCE FOR PURE AND APPLIED SCIENCES (SICPS2021): SICPS2021. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0121731.

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Reddy, Salla Gangi, R. P. Singh, and Yoko Miyamoto. "Experimental generation of Bessel-Gauss coherence functions." In SPIE Technologies and Applications of Structured Light, edited by Takashige Omatsu. SPIE, 2017. http://dx.doi.org/10.1117/12.2269488.

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RAPPOPORT, JURI M. "SOME INTEGRAL EQUATIONS WITH MODIFIED BESSEL FUNCTIONS." In Proceedings of the 5th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812835635_0025.

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Debeerst, Ruben, Mark van Hoeij, and Wolfram Koepf. "Solving differential equations in terms of bessel functions." In the twenty-first international symposium. ACM Press, 2008. http://dx.doi.org/10.1145/1390768.1390777.

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Russell, C. T. "The Limitation of Bessel Functions for ICME Modeling." In SOLAR WIND TEN: Proceedings of the Tenth International Solar Wind Conference. AIP, 2003. http://dx.doi.org/10.1063/1.1618557.

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EVERITT, W. N. "FOURTH-ORDER BESSEL-TYPE SPECIAL FUNCTIONS: A SURVEY." In Proceedings of the International Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812770752_0016.

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Доброхотов, Сергей. "Lagange manifolds related to Bessel functions and applications." In International scientific conference "Ufa autumn mathematical school - 2021". Baskir State University, 2021. http://dx.doi.org/10.33184/mnkuomsh1t-2021-10-06.89.

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Reports on the topic "Bessel functions"

1

Qin, Hong, Cynthia K. Phillips, and Ronald C. Davidson. Response to "Comment on ' A New Derivation of the Plasma Susceptibility Tensor for a Hot Magnetized Plasma Without Infinite Sums of Products of Bessel Functions'. Office of Scientific and Technical Information (OSTI), 2008. http://dx.doi.org/10.2172/960232.

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Boisvert, Ronald F., and Bonita V. Saunders. Portable vectorized software for Bessel function evaluation. National Institute of Standards and Technology, 1991. http://dx.doi.org/10.6028/nist.ir.4615.

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