Results 161 to 170 of about 2,598 (191)
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Some Families of Generating Functions for the Bessel and Related Functions
Georgian Mathematical Journal, 2004The authors apply a certain novel technique based on a combined use of operational methods and of some special multi-variable and multi-index polynomials to derive several families of generating functions involving the products of Bessel and related functions.
G. DATTOLI +2 more
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Generalized Bessel functions in incommensurate structure analysis
Acta Crystallographica Section A Foundations of Crystallography, 1994The analysis of incommensurate structures is computationally more difficult than that of normal ones. This is mainly a result of the structure-factor expression, which involves numerical integrations or infinite series of Bessel functions. Both approaches have been implemented in existing computer programs.
Paciorek, W. A., Chapuis, G.
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Generalization of the modified Bessel function and its generating function
2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Griffiths, J. +2 more
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Generalized Bessel Functions and Lie Algebra Representation
Mathematical Physics, Analysis and Geometry, 2005The authors derive generating relations involving generalized Bessel functions using the representation theory of the Lie group \(T_{3}\). The 2-index 3-variable 1-parameter Bessel functions (2I3V1PBF) \(J_{n,m}(x,\,y,\,z;\,\xi)\) can be defined by \[ J_{m,n}(x,\,y,\,z;\,\xi)=\sum_{s=-\infty}^{\infty} \xi^sJ_{m-s}(x)\,J_{n-s}(y)\,J_{s}(z), \] where ...
Khan, Subuhi, Yasmin, Ghazala
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Generalization of Bessel and hypergeometric functions
ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1990The generalized Bessel function in the form \[ (1)\quad J_{\ell mn}(z)=\sum^{\infty}_{k=0}\frac{(-1)^ k}{k!\Gamma ((n/\ell)+(mk/\ell)+1)}(\frac{z}{\ell +m})^{(n/\ell)+(mk/\ell)+k}, \] for \(z\in C\), \(\ell,m\in N\), \(n\in Z\) is presented. The author defines a generalised Bessel function \(J_{\lambda \mu \nu}(z)\) by the series (1) for z,\(\lambda\),\
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On generating functions of generalized Bessel polynomials
Kobe Journal of Mathematics, 1988Following a method of obtaining bilateral and multilateral generating functions for certain special functions due to the reviewer [Ganit (Bangladesh) 2, 114-137 (1982)], the author obtains a mixed bilateral and a mixed trilateral generating function for the generalized Bessel polynomials.
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Generalized Bessel Function Associated with Dihedral Groups
Journal of Lie Theory, 2012In the present paper the author obtains a generating formula involving a modified Bessel function and a Gegenbauer polynomial. Some connections with the dihedral groups \(D_n\), with \(n=4,6\) and \(n\) odd are also given.
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New intregral transform with generalized Bessel–Maitland function kernel and its applications
Mathematical Methods in the Applied Sciences, 2021Ahmet Dernek, D Albayrak, Faruk Uçar
exaly
On a generalization of bessel functions
Communications on Pure and Applied Mathematics, 1965openaire +2 more sources
On a Generalized Bessel Function and an Integral Transform
Mathematische Nachrichten, 1971Olkha, G. S., Rathie, P. N.
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