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Relevant bibliographies by topics / Bessel function

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Academic literature on the topic 'Bessel function'

Author: Grafiati

Published: 4 June 2021

Last updated: 26 July 2025

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Journal articles on the topic "Bessel function"

1

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 si

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2

Soni, Amit, and Deepak Bansal. "Certain geometric properties of generalized Bessel-Maitland function." Studia Universitatis Babes-Bolyai Matematica 68, no. 4 (2023): 789–98. http://dx.doi.org/10.24193/subbmath.2023.4.08.

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"In the present study, we first introduce Generalized Bessel-Maitland function $\mathbb{J}^{\xi }_{\zeta,a}(z)$ and then derive sufficient conditions under which the Generalized Bessel-Maitland function $\mathbb{J}^{\xi}_{\zeta,a}(z)$ have geometric properties like univalency, starlikeness and convexity in the open unit disk $\mathscr{D}$. Keywords: Univalent, starlike, convex and close-to-convex function, subordination, Bessel functions, Bessel-Maitland functions."

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Aktaş, İbrahim, and Luminiţa-Ioana Cotîrlâ. "Certain Geometrical Properties and Hardy Space of Generalized k-Bessel Functions." Symmetry 16, no. 12 (2024): 1597. http://dx.doi.org/10.3390/sym16121597.

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In this paper, we study certain geometric properties such as the starlikeness of order ζ and the convexity of order ζ of the generalized k-Bessel function. In addition, we establish several requirements for the parameters so that the generalized k-Bessel function belongs to some subclasses of analytic functions. Furthermore, as an application of the geometric properties, we establish certain results concerning the Hardy spaces of the generalized k-Bessel function. On the other hand, we present some corollaries concerning the classical Bessel function Jρ and the modified Bessel function Iρ. To

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4

Naz, Adiba, Sumit Nagpal, and V. Ravichandran. "Geometric Properties of Generalized Bessel Function Associated with the Exponential Function." Mathematica Slovaca 73, no. 6 (2023): 1459–78. http://dx.doi.org/10.1515/ms-2023-0106.

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ABSTRACT Sufficient conditions are determined on the parameters such that the generalized and normalized Bessel function of the first kind, which is an elementary transform of the hypergeometric function and other related functions belong to subclasses of starlike and convex functions defined in the unit disk associated with the exponential mapping. Several differential subordination implications are derived for analytic functions involving Bessel function and the operator introduced by Baricz et al. [Differential subordinations involving generalized Bessel functions, Bull. Malays. Math. Sci.

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Nisar, K. S., S. R. Mondal, and P. Agarwal. "Composition Formulas of Bessel-Struve Kernel Function." Mathematical Problems in Engineering 2016 (2016): 1–8. http://dx.doi.org/10.1155/2016/9560346.

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The object of this paper is to study and develop the generalized fractional calculus operators involving Appell’s functionF3(·)due to Marichev-Saigo-Maeda. Here, we establish the generalized fractional calculus formulas involving Bessel-Struve kernel functionSαλz, λ,z∈Cto obtain the results in terms of generalized Wright functions. The representations of Bessel-Struve kernel function in terms of exponential function and its relation with Bessel and Struve function are also discussed. The pathway integral representations of Bessel-Struve kernel function are also given in this study.

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Raza, Mohsan, Sarfraz Nawaz Malik, Qin Xin, Muhey U. Din, and Luminiţa-Ioana Cotîrlă. "On Kudriasov Conditions for Univalence of Integral Operators Defined by Generalized Bessel Functions." Mathematics 10, no. 9 (2022): 1361. http://dx.doi.org/10.3390/math10091361.

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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 main tools for our discussions were the Kudriasov conditions for the univalency of functions, as well as functional inequalities for the generalized Bessel functions. We included the conditions for the univalency of integral operators that involve Bessel, modified Bessel and spherical Bessel functions as special cases. Furthermore, we provided

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7

Baricz, Árpád, and Róbert Szász. "The radius of convexity of normalized Bessel functions of the first kind." Analysis and Applications 12, no. 05 (2014): 485–509. http://dx.doi.org/10.1142/s0219530514500316.

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In this paper, we determine the radius of convexity for three kinds of normalized Bessel functions of the first kind. In the mentioned cases the normalized Bessel functions are starlike-univalent and convex-univalent, respectively, on the determined disks. The key tools in the proofs of the main results are some new Mittag-Leffler expansions for quotients of Bessel functions of the first kind, special properties of the zeros of Bessel functions of the first kind and their derivative, and the fact that the smallest positive zeros of some Dini functions are less than the first positive zero of t

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8

Ali, R. S., S. Mubeen, I. Nayab, Serkan Araci, G. Rahman, and K. S. Nisar. "Some Fractional Operators with the Generalized Bessel–Maitland Function." Discrete Dynamics in Nature and Society 2020 (July 24, 2020): 1–15. http://dx.doi.org/10.1155/2020/1378457.

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In this paper, we aim to determine some results of the generalized Bessel–Maitland function in the field of fractional calculus. Here, some relations of the generalized Bessel–Maitland functions and the Mittag-Leffler functions are considered. We develop Saigo and Riemann–Liouville fractional integral operators by using the generalized Bessel–Maitland function, and results can be seen in the form of Fox–Wright functions. We establish a new operator Zν,η,ρ,γ,w,a+μ,ξ,m,σϕ and its inverse operator Dν,η,ρ,γ,w,a+μ,ξ,m,σϕ, involving the generalized Bessel–Maitland function as its kernel, and also di

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9

Shaimardan, S., N. S. Tokmagambetov, and Y. Aikyn. "The Bessel equation on the quantum calculus." BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS 107, no. 3 (2022): 132–44. http://dx.doi.org/10.31489/2022m3/132-144.

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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. This paper introduces a h-difference equation analogue of the Bessel differential equation and investigates the properties of its solution, which is express using the Frobenius method by assuming a generalized power series. The authors find discrete analogue formulas for Bessel function and the h-Neumann function and these are solutions presented by a series with the h-fractional

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10

Prakash, Venkatesan, Daniel Breaz, Srikandan Sivasubramanian, and Sheza M. El-Deeb. "Results of Certain Subclasses of Univalent Function Related to Bessel Functions." Mathematics 13, no. 4 (2025): 569. https://doi.org/10.3390/math13040569.

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In this article, we established the necessary and sufficient conditions as well as the inclusion relations for a few subclasses of univalent functions associated with Bessel functions. Furthermore, we investigated an integral operator linked to Bessel functions and elaborated on several mapping properties. The study includes various theorems, corollaries and the consequences derived from the main results.

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Dissertations / Theses on the topic "Bessel function"

1

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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DeFranco, Mario A. (Mario Anthony). "The unramified principal series of p-adic groups : the Bessel function." Thesis, Massachusetts Institute of Technology, 2014. http://hdl.handle.net/1721.1/90183.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2014.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 99-101).<br>Let G be a connected reductive group with a split maximal torus defined over a nonarchimedean local field. I evaluate a matrix coefficient of the unramified principal series of G known as the "Bessel function" at torus elements of dominant coweight. I show that the Bessel function shares many properties with the Macdonald spherical function of G, in particular the properties described in Casselman's 1980 evalu

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Mirjana, Vidanović. "Sumiranje redova sa specijalnim funkcijama." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2003. https://www.cris.uns.ac.rs/record.jsf?recordId=73367&source=NDLTD&language=en.

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Disertacija se bavi sumiranjem redova sa specijalnim funkcijama. Ovi redovi se posredstvom trigonometrijskih redova svode na redove sa Riemannovom zeta funkcijom i srodnim funkcijama. U određenim slučajevima sumacione formule se mogu dovesti na takozvani zatvoreni oblik, &scaron;to znači da se beskonačni redovi predstavljaju konačnim sumama. Predloženi metodi sumacije omogućavaju ubrzanje konvergencije, a mogu se primeniti i kod nekih graničnih problema matematičke fizike. Sumacione formule uključuju kao specijalne slučajeve neke formule poznate iz literature, ali i nove sume, s obzirom d

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Hornik, Kurt, and Bettina Grün. "movMF: An R Package for Fitting Mixtures of von Mises-Fisher Distributions." American Statistical Association, 2014. http://epub.wu.ac.at/4893/1/v58i10.pdf.

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Finite mixtures of von Mises-Fisher distributions allow to apply model-based clustering methods to data which is of standardized length, i.e., all data points lie on the unit sphere. The R package movMF contains functionality to draw samples from finite mixtures of von Mises-Fisher distributions and to fit these models using the expectation-maximization algorithm for maximum likelihood estimation. Special features are the possibility to use sparse matrix representations for the input data, different variants of the expectationmaximization algorithm, different methods for determining the co

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5

Iskander, D. R. "The Generalised Bessel function K distribution and its application to the detection of signals in the presence of non-Gaussian interference." Thesis, Queensland University of Technology, 1997.

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Hornik, Kurt, and Bettina Grün. "On Maximum Likelihood Estimation of the Concentration Parameter of von Mises-Fisher Distributions." WU Vienna University of Economics and Business, 2012. http://epub.wu.ac.at/3669/1/Report120.pdf.

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Maximum likelihood estimation of the concentration parameter of von Mises-Fisher distributions involves inverting the ratio R_nu = I_{nu+1} / I_nu of modified Bessel functions. Computational issues when using approximative or iterative methods were discussed in Tanabe et al. (Comput Stat 22(1):145-157, 2007) and Sra (Comput Stat 27(1):177-190, 2012). In this paper we use Amos-type bounds for R_nu to deduce sharper bounds for the inverse function, determine the approximation error of these bounds, and use these to propose a new approximation for which the error tends to zero when the inverse

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Hofmann, Bernd, and Wolfersdorf Lothar von. "New results on the degree of ill-posedness for integration operators with weights." Universitätsbibliothek Chemnitz, 2008. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200800545.

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We extend our results on the degree of ill-posedness for linear integration opera- tors A with weights mapping in the Hilbert space L^2(0,1), which were published in the journal 'Inverse Problems' in 2005 ([5]). Now we can prove that the degree one also holds for a family of exponential weight functions. In this context, we empha- size that for integration operators with outer weights the use of the operator AA^* is more appropriate for the analysis of eigenvalue problems and the corresponding asymptotics of singular values than the former use of A^*A.

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Poliak, Juraj. "Vliv optických prvků na vyzařovaný laserový svazek." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2011. http://www.nusl.cz/ntk/nusl-219107.

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Diplomová práca pojednáva o skalárnej teórii difrakcie a zavádza dôležité riešenie vlnovej rovnice a to elipticky symetrický Gaussov zväzok. V praktickej časti bude popísané modelovanie difrakcie na kruhovom otvore dvoma rôznymi prístupmi. Model bude experimentálne overený experimentom. V záverečnej časti bude kriticky pojednané o výsledkoch experimentu a simulácie.

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9

Bendaas, Saïda. "Quelques applications de l'analyse non standard aux équations aux dérivées partielles." Mulhouse, 1994. http://www.theses.fr/1994MULH0298.

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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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Books on the topic "Bessel function"

1

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

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2

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

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3

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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5

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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6

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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7

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

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8

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

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9

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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10

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

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Book chapters on the topic "Bessel function"

1

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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2

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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3

Saxena, Vinod Prakash, Praveen Agarwal, and Altaf Ahmad Bhat. "Integral Equations Involving Bessel–Maitland Functions." In I-Function and Its Applications. Chapman and Hall/CRC, 2024. http://dx.doi.org/10.1201/9781003517757-6.

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Howard, F. T. "Recurrences Related to the Bessel Function." In Applications of Fibonacci Numbers. Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-015-7801-1_2.

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Mandal, B. N., and Nanigopal Mandal. "Dual integral equations with Bessel function kernel." In Advances in dual integral equations. Routledge, 2022. http://dx.doi.org/10.1201/9781315136851-2.

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Opic, Bohumír. "Continuous and Compact Embeddings of Bessel-Potential-Type Spaces." In Spectral Theory, Function Spaces and Inequalities. Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0263-5_10.

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Oldham, Keith B., Jan C. Myland, and Jerome Spanier. "The Bessel Function J v (x) of Arbitrary Order." In An Atlas of Functions. Springer US, 2008. http://dx.doi.org/10.1007/978-0-387-48807-3_54.

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Oldham, Keith B., Jan C. Myland, and Jerome Spanier. "The Modified Bessel Function I v (x) of Arbitrary Order." In An Atlas of Functions. Springer US, 2008. http://dx.doi.org/10.1007/978-0-387-48807-3_51.

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9

Chand, Mehar, and Zakia Hammouch. "Unified Fractional Integral Formulae Involving Generalized Multiindex Bessel Function." In 4th International Conference on Computational Mathematics and Engineering Sciences (CMES-2019). Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-39112-6_22.

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Ismail, Mourad, David Masson, and Sergei Suslov. "The 𝑞-Bessel function on a 𝑞-quadratic grid." In CRM Proceedings and Lecture Notes. American Mathematical Society, 1999. http://dx.doi.org/10.1090/crmp/022/10.

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Conference papers on the topic "Bessel function"

1

Patni, Suketu P., and Vikram M. Gadre. "Investigation into the role of the Bessel function order in the Fourier-Bessel series and the Hankel Transform." In 2025 National Conference on Communications (NCC). IEEE, 2025. https://doi.org/10.1109/ncc63735.2025.10983218.

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Shani, Nitzan, Fan Cheng, Lev Deych, and Tal Carmon. "Imaging of localized whispering-gallery-modes in a cylindrical fiber." In CLEO: Applications and Technology. Optica Publishing Group, 2024. http://dx.doi.org/10.1364/cleo_at.2024.jw2a.66.

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Modes of a dielectric cylindrical waveguide are characterized by three numbers: azimuthal number m, radial number, s, and a continuous propagation constant β.1 The azimuthal number determines the field dependence of the azimuthal angle φ of the cylindrical coordinate system with the polar axis along the axis of the cylinder in the form of exp (imφ). The radial number characterizes the behavior of the field in the radial direction and in an ideal cylinder is given by a cylindrical Bessel function Jm (κm,sr). Discrete values of the parameter κs characterizing the radial dependence of the field i

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Gupta, Priyanka, Sunil Joshi, and Ekta Mittal. "A new extended Bessel-Maitland function." In ADVANCES IN INTELLIGENT APPLICATIONS AND INNOVATIVE APPROACH. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0139342.

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Harrison, John. "Fast and Accurate Bessel Function Computation." In 2009 IEEE 19th IEEE Symposium on Computer Arithmetic (ARITH). IEEE, 2009. http://dx.doi.org/10.1109/arith.2009.32.

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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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Du, Y. Q., M. J. Pan, Q. Li, and L. Li. "Smooth curve drawing using a Bessel function." In International Conference on Computer Science and Systems Engineering. WIT Press, 2015. http://dx.doi.org/10.2495/csse140311.

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Malik, Pradeep, Saiful R. Mondal, and A. Swaminathan. "Fractional Integration of Generalized Bessel Function of the First Kind." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48950.

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Generalizing the classical Riemann-Liouville and Erde´yi-Kober fractional integral operators two integral transforms involving Gaussian hypergeometric functions in the kernel are considered. Formulas for composition of such integrals with generalized Bessel function of the first kind are obtained. Special cases involving trigonometric functions such as sine, cosine, hyperbolic sine and hyperbolic cosine are deduced. These results are established in terms of generalized Wright function and generalized hypergeometric functions.

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Hua, Jun. "A fast numerical algorithm for related bessel function integrations." In 2014 3rd Asia-Pacific Conference on Antennas and Propagation. IEEE, 2014. http://dx.doi.org/10.1109/apcap.2014.6992585.

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Sharma, Kal Renganathan. "On Relativistic Transformation of Coordinates and Exact Solution of Damped Wave Conduction and Relaxation Equation." In ASME 2008 Heat Transfer Summer Conference collocated with the Fluids Engineering, Energy Sustainability, and 3rd Energy Nanotechnology Conferences. ASMEDC, 2008. http://dx.doi.org/10.1115/ht2008-56121.

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Analytical solution to the hyperbolic damped wave conduction and relaxation equation is developed by a novel method called the relativistic transformation method. The hyperbolic PDE is decomposed into a time decaying damping component and a Klein-Gardon type equation for the wave temperature. The PDE that describes the wave temperature is transformed to a Bessel differential equation by using the relativistic transformation. The relativistic transformation, η = τ2 − X2 is symmetric in space and time. The solution obtained for the transient temperature to a semi-infinite medium was compared wit

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Lokesh, P., and S. Prema. "Quasi – subordination for a Bazilevic Sakaguchi function associated with k-analogue of Bessel function." In 5th INTERNATIONAL CONFERENCE ON CURRENT SCENARIO IN PURE AND APPLIED MATHEMATICS (ICCSPAM-2022). AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0136948.

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Reports on the topic "Bessel function"

1

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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2

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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