Several Differentiation Formulas of Special Functions. Part VII

Fuguo Ge; Bing Xie

Formalized Mathematics (2008)

  • Volume: 16, Issue: 4, page 389-399
  • ISSN: 1426-2630

Abstract

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In this article, we prove a series of differentiation identities [2] involving the arctan and arccot functions and specific combinations of special functions including trigonometric and exponential functions.MML identifier: FDIFF 11, version: 7.10.01 4.111.1036

How to cite

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Fuguo Ge, and Bing Xie. "Several Differentiation Formulas of Special Functions. Part VII." Formalized Mathematics 16.4 (2008): 389-399. <http://eudml.org/doc/267479>.

@article{FuguoGe2008,
abstract = {In this article, we prove a series of differentiation identities [2] involving the arctan and arccot functions and specific combinations of special functions including trigonometric and exponential functions.MML identifier: FDIFF 11, version: 7.10.01 4.111.1036},
author = {Fuguo Ge, Bing Xie},
journal = {Formalized Mathematics},
language = {eng},
number = {4},
pages = {389-399},
title = {Several Differentiation Formulas of Special Functions. Part VII},
url = {http://eudml.org/doc/267479},
volume = {16},
year = {2008},
}

TY - JOUR
AU - Fuguo Ge
AU - Bing Xie
TI - Several Differentiation Formulas of Special Functions. Part VII
JO - Formalized Mathematics
PY - 2008
VL - 16
IS - 4
SP - 389
EP - 399
AB - In this article, we prove a series of differentiation identities [2] involving the arctan and arccot functions and specific combinations of special functions including trigonometric and exponential functions.MML identifier: FDIFF 11, version: 7.10.01 4.111.1036
LA - eng
UR - http://eudml.org/doc/267479
ER -

References

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  1. [1] Czesław Byliński. Partial functions. Formalized Mathematics, 1(2):357-367, 1990. 
  2. [2] Fritz Chemnitius. Differentiation und Integration ausgewählter Beispiele. VEB Verlag Technik, Berlin, 1956. 
  3. [3] Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990. 
  4. [4] Jarosław Kotowicz. Partial functions from a domain to a domain. Formalized Mathematics, 1(4):697-702, 1990. 
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  6. [6] Jarosław Kotowicz. Real sequences and basic operations on them. Formalized Mathematics, 1(2):269-272, 1990. 
  7. [7] Xiquan Liang and Bing Xie. Inverse trigonometric functions arctan and arccot. Formalized Mathematics, 16(2):147-158, 2008. 
  8. [8] Konrad Raczkowski. Integer and rational exponents. Formalized Mathematics, 2(1):125-130, 1991. 
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  11. [11] Yasunari Shidama. The Taylor expansions. Formalized Mathematics, 12(2):195-200, 2004. 
  12. [12] Andrzej Trybulec and Czesław Byliński. Some properties of real numbers. Formalized Mathematics, 1(3):445-449, 1990. 
  13. [13] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. 
  14. [14] Peng Wang and Bo Li. Several differentiation formulas of special functions. Part V. Formalized Mathematics, 15(3):73-79, 2007. 
  15. [15] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990. 
  16. [16] Yuguang Yang and Yasunari Shidama. Trigonometric functions and existence of circle ratio. Formalized Mathematics, 7(2):255-263, 1998. 

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