Several Integrability Formulas of Special Functions. Part II
Bo Li; Yanping Zhuang; Yanhong Men; Xiquan Liang
Formalized Mathematics (2009)
- Volume: 17, Issue: 1, page 23-35
- ISSN: 1426-2630
Access Full Article
topAbstract
topHow to cite
topBo Li, et al. "Several Integrability Formulas of Special Functions. Part II." Formalized Mathematics 17.1 (2009): 23-35. <http://eudml.org/doc/267215>.
@article{BoLi2009,
abstract = {In this article, we give several differentiation and integrability formulas of special and composite functions including the trigonometric function, the hyperbolic function and the polynomial function [3].MML identifier: INTEGR11, version: 7.11.01 4.117.1046},
author = {Bo Li, Yanping Zhuang, Yanhong Men, Xiquan Liang},
journal = {Formalized Mathematics},
language = {eng},
number = {1},
pages = {23-35},
title = {Several Integrability Formulas of Special Functions. Part II},
url = {http://eudml.org/doc/267215},
volume = {17},
year = {2009},
}
TY - JOUR
AU - Bo Li
AU - Yanping Zhuang
AU - Yanhong Men
AU - Xiquan Liang
TI - Several Integrability Formulas of Special Functions. Part II
JO - Formalized Mathematics
PY - 2009
VL - 17
IS - 1
SP - 23
EP - 35
AB - In this article, we give several differentiation and integrability formulas of special and composite functions including the trigonometric function, the hyperbolic function and the polynomial function [3].MML identifier: INTEGR11, version: 7.11.01 4.117.1046
LA - eng
UR - http://eudml.org/doc/267215
ER -
References
top- [1] Czesław Byliński. Partial functions. Formalized Mathematics, 1(2):357-367, 1990.
- [2] Czesław Byliński and Piotr Rudnicki. Bounding boxes for compact sets in ε2. Formalized Mathematics, 6(3):427-440, 1997.
- [3] Chuanzhang Chen. Mathematical Analysis. Higher Education Press, Beijing, 1978.
- [4] Noboru Endou and Artur Korniłowicz. The definition of the Riemann definite integral and some related lemmas. Formalized Mathematics, 8(1):93-102, 1999.
- [5] Noboru Endou, Katsumi Wasaki, and Yasunari Shidama. Definition of integrability for partial functions from R to R and integrability for continuous functions. Formalized Mathematics, 9(2):281-284, 2001.
- [6] Artur Korniłowicz and Yasunari Shidama. Inverse trigonometric functions arcsin and arccos. Formalized Mathematics, 13(1):73-79, 2005. Zbl1276.26026
- [7] Jarosław Kotowicz. Convergent sequences and the limit of sequences. Formalized Mathematics, 1(2):273-275, 1990.
- [8] Jarosław Kotowicz. Partial functions from a domain to a domain. Formalized Mathematics, 1(4):697-702, 1990.
- [9] Jarosław Kotowicz. Partial functions from a domain to the set of real numbers. Formalized Mathematics, 1(4):703-709, 1990.
- [10] Jarosław Kotowicz. Real sequences and basic operations on them. Formalized Mathematics, 1(2):269-272, 1990.
- [11] Xiquan Liang and Bing Xie. Inverse trigonometric functions arctan and arccot. Formalized Mathematics, 16(2):147-158, 2008, doi:10.2478/v10037-008-0021-3.[Crossref]
- [12] Takashi Mitsuishi and Yuguang Yang. Properties of the trigonometric function. Formalized Mathematics, 8(1):103-106, 1999.
- [13] Konrad Raczkowski. Integer and rational exponents. Formalized Mathematics, 2(1):125-130, 1991.
- [14] Konrad Raczkowski and Paweł Sadowski. Real function differentiability. Formalized Mathematics, 1(4):797-801, 1990.
- [15] Konrad Raczkowski and Paweł Sadowski. Topological properties of subsets in real numbers. Formalized Mathematics, 1(4):777-780, 1990.
- [16] Yasunari Shidama. The Taylor expansions. Formalized Mathematics, 12(2):195-200, 2004.
- [17] Andrzej Trybulec and Czesław Byliński. Some properties of real numbers. Formalized Mathematics, 1(3):445-449, 1990.
- [18] Andrzej Trybulec and Yatsuka Nakamura. On the decomposition of a simple closed curve into two arcs. Formalized Mathematics, 10(3):163-167, 2002.
- [19] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
- [20] Peng Wang and Bo Li. Several differentiation formulas of special functions. Part V. Formalized Mathematics, 15(3):73-79, 2007, doi:10.2478/v10037-007-0009-4.[Crossref]
- [21] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.
- [22] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.
- [23] Yuguang Yang and Yasunari Shidama. Trigonometric functions and existence of circle ratio. Formalized Mathematics, 7(2):255-263, 1998.
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.