Results 151 to 160 of about 2,598 (191)
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Integral Transforms and Special Functions, 2003
In this paper we consider a generalized Bessel function in the following form: [Formula: See Text] where [Formula: See Text] and for this generalization we present differential properties, integral representations, integrals and various particular cases.
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In this paper we consider a generalized Bessel function in the following form: [Formula: See Text] where [Formula: See Text] and for this generalization we present differential properties, integral representations, integrals and various particular cases.
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Smoothing of Stokes's discontinuity for the generalized Bessel function. II
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1999[For part I see the authors in ibid. 455, No. 1984, 1381-1400 (1999).] The generalized Bessel function \(\phi(z)=\sum_{n=0}^\infty z^n/[n!
Wong, R., Zhao, Y.-Q.
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Some Generating Functions for the Generalized Bessel Polynomials
Studies in Applied Mathematics, 1992The authors begin by presenting a systematic (historical) account of some linear generating functions for the generalized Bessel polynomials. It is then shown how these linear generating functions can be applied with a view to obtaining various new families of bilinear, bilateral, or mixed multilateral generating functions for the generalized Bessel ...
Chen, Ming-Po +2 more
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Generalized Bessel matrix functions
Georgian Mathematical Journal, 2023Abstract In this paper, we discuss the generalized Bessel matrix functions and their integral representations. Also, we derive some properties using integral transform and fractional calculus of these functions.
Farhatbanu H. Patel +2 more
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Generalized Bessel functions: Theory and their applications
Mathematical Methods in the Applied Sciences, 2017This paper presents 2 new classes of the Bessel functions on a compact domain [0,T] as generalized‐tempered Bessel functions of the first‐ and second‐kind which are denoted by GTBFs‐1 and GTBFs‐2. Two special cases corresponding to the GTBFs‐1 and GTBFs‐2 are considered.
Hassan Khosravian‐Arab +2 more
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Generalized q-Bessel functions
Canadian Journal of Physics, 1994An algebraic setting for a natural generalization of q-Bessel functions is provided. Many properties and formulas involving these functions are obtained and discussed.
Floreanini, Roberto, Vinet, Luc
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Generation of spherical Bessel functions in digital computers
Preprints of papers presented at the 13th national meeting of the Association for Computing Machinery on - ACM '58, 1958A method of computation for spherical Bessel functions of real and imaginary argument is given which is especially suitable for high speed digital computers. The accuracy and convergence are examined and criterion formulas are given. A procedure based on the Wronskian is used to simplify the final normalization.
Fernando J. Corbató, Jack L. Uretsky
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Geometric Properties of Generalized Bessel Functions
Publicationes Mathematicae Debrecen, 2008Summary: Our aim is to establish some geometric properties (like univalence, starlikeness, convexity and close-to-convexity) for the generalized Bessel functions of the first kind. In order to prove our main results, we use the technique of differential subordinations developed by \textit{S. S. Miller and P. T. Mocanu} [J. Differ.
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Generating Functions for Bessel and Related Polynomials
Canadian Journal of Mathematics, 1953Krall and Frink [4] aroused interest in what they term Bessel polynomials.
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