Results 281 to 290 of about 15,180,972 (331)
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2010
The subject of special functions is often presented as a collection of disparate results, which are rarely organised in a coherent way. This book answers the need for a different approach to the subject. The authors' main goals are to emphasise general unifying principles coherently and to provide clear motivation, efficient proofs, and original ...
Richard Beals, Roderick Wong
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The subject of special functions is often presented as a collection of disparate results, which are rarely organised in a coherent way. This book answers the need for a different approach to the subject. The authors' main goals are to emphasise general unifying principles coherently and to provide clear motivation, efficient proofs, and original ...
Richard Beals, Roderick Wong
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ACM SIGSAM Bulletin, 1989
This article describes a method by which the integration capabilities of symbolic-mathematics computer programs can be extended to include integrals that contain special functions. A summary of the theory that forms the basis of the method is given in Appendix A. A few integrals that have been evaluated using the method are presented in Appendix B.
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This article describes a method by which the integration capabilities of symbolic-mathematics computer programs can be extended to include integrals that contain special functions. A summary of the theory that forms the basis of the method is given in Appendix A. A few integrals that have been evaluated using the method are presented in Appendix B.
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2006
This is an overview article on q-special functions, a slightly extended version of an article to appear in the Encyclopedia of Mathematical Physics, Elsevier, 2006.
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This is an overview article on q-special functions, a slightly extended version of an article to appear in the Encyclopedia of Mathematical Physics, Elsevier, 2006.
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Nonlinear Systems and Complexity, 2018
Richard C. Dorf, Ronald J. Tallarida
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Richard C. Dorf, Ronald J. Tallarida
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Integration of Liouvillian functions with special functions
Proceedings of the fifth ACM symposium on Symbolic and algebraic computation - SYMSAC '86, 1986In this paper, we discuss a decision procedure for the indefinite integration of transcendental Liouvillian functions in terms of elementary functions and logarithmic integrals. We also discuss a decision procedure for the integration of a large class of transcendental Liouvillian functions in terms of elementary functions and error-functions.
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Lobachevskii Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Validated Special Functions Software
2010Because of the importance of special functions, several books and a large collection of papers have been devoted to the numerical computation of these functions, the most well-known being the NBS handbook by Abramowitz and Stegun. But up to this date, symbolic and numeric environments offer no routines for the validated evaluation of special functions.
Cuyt, Annie +3 more
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The Special Function Field Sieve
SIAM Journal on Discrete Mathematics, 2002Summary: Let \(p\) be a prime number and \(n\) a positive integer, and let \(q=p^{n}\). \textit{L. M. Adleman} and \textit{M.-D. A. Huang} [Inf. Comput. 151, 5--16 (1999; Zbl 1006.11078)] described a version of the function field sieve which is conjectured to compute a logarithm in the field of \(q\) elements in expected time \(L_{q}[1/3;(32/9)^{1/3}+o(
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Special Functions for Solving Nonlinear Differential Equations
International Journal of Applied and Computational Mathematics, 2021Jihuan He
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