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Combinatorial t-designs from special functions
Cryptography and Communications, 2020 A special function is a function either of special form or with a special property. Special functions have interesting applications in coding theory and combinatorial t-designs.
Cunsheng Ding, Chunming Tang
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2002
CIRCULAR FUNCTIONS Consider the rectangular coordinate system shown in Figure 6.1. The coordinate is positive to the right of the origin and the coordinate is positive above the origin. The radius vector r shown terminating on the point is shown rotated by the angle up from the axis. The radius vector r has component values and .
N.M. Temme (Nico), A.I. Zayed (Ahmed)
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CIRCULAR FUNCTIONS Consider the rectangular coordinate system shown in Figure 6.1. The coordinate is positive to the right of the origin and the coordinate is positive above the origin. The radius vector r shown terminating on the point is shown rotated by the angle up from the axis. The radius vector r has component values and .
N.M. Temme (Nico), A.I. Zayed (Ahmed)
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The generalization of special functions
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Ultrafilter Logic and Special Functions
Studia Logica, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paulo A. S. Veloso, Sheila R. M. Veloso
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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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2000
Abstract The subject of this book is the theory of special functions, not considered as a list of functions exhibiting a certain range of properties, but based on the unified study of singularities of second-order ordinary differential equations in the complex domain.
Sergei yu. Slavyanov +2 more
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Abstract The subject of this book is the theory of special functions, not considered as a list of functions exhibiting a certain range of properties, but based on the unified study of singularities of second-order ordinary differential equations in the complex domain.
Sergei yu. Slavyanov +2 more
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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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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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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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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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