Results 181 to 190 of about 58,663 (206)
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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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Generalized Bessel functions on symmetric spaces
Journal f�r die reine und angewandte Mathematik (Crelles Journal), 1999In Math. Ann. 260, 269-302 (1982; Zbl 0502.10013) \textit{G. Shimura} studied the analytic continuation of a family of hypergeometric functions that generalize the classical Whittaker function \[ \xi(y,\alpha, \beta)= \int^\infty_0 e^{-yt}(1+t)^{\alpha-1} t^{\beta-1}dt.
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New intregral transform with generalized Bessel–Maitland function kernel and its applications
Mathematical Methods in the Applied Sciences, 2021Durmuş Albayrak +2 more
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Certain New Integrals Including Generalized Bessel-Maitland Function and M-Series
International Journal of Applied and Computational Mathematics, 2021Alok Bhargava, Mohd Rizwanullah
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Theory of generalized Bessel functions
Il Nuovo Cimento B Series 11, 1990G. Dattoli +3 more
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Generalized Bessel function associated with dihedral groups
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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Probabilistic and Analytical Aspects of the Symmetric and Generalized Kaiser–Bessel Window Function
Constructive Approximation, 2023Árpád Baricz, Tibor K Pogány
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On a generalization of bessel functions
Communications on Pure and Applied Mathematics, 1965openaire +2 more sources
CERTAIN UNIFIED INTEGRAL FORMULAS INVOLVING THE GENERALIZED MODIFIED k-BESSEL FUNCTION OF FIRST KIND
Communications of the Korean Mathematical Society, 2017Saiful R Mondal +1 more
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