Several Differentiation Formulas of Special Functions. Part VI

Bo Li; Pan Wang

Formalized Mathematics (2007)

  • Volume: 15, Issue: 4, page 243-250
  • ISSN: 1426-2630

Abstract

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In this article, we prove a series of differentiation identities [3] involving the secant and cosecant functions and specific combinations of special functions including trigonometric, exponential and logarithmic functions.

How to cite

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Bo Li, and Pan Wang. "Several Differentiation Formulas of Special Functions. Part VI." Formalized Mathematics 15.4 (2007): 243-250. <http://eudml.org/doc/266748>.

@article{BoLi2007,
abstract = {In this article, we prove a series of differentiation identities [3] involving the secant and cosecant functions and specific combinations of special functions including trigonometric, exponential and logarithmic functions.},
author = {Bo Li, Pan Wang},
journal = {Formalized Mathematics},
language = {eng},
number = {4},
pages = {243-250},
title = {Several Differentiation Formulas of Special Functions. Part VI},
url = {http://eudml.org/doc/266748},
volume = {15},
year = {2007},
}

TY - JOUR
AU - Bo Li
AU - Pan Wang
TI - Several Differentiation Formulas of Special Functions. Part VI
JO - Formalized Mathematics
PY - 2007
VL - 15
IS - 4
SP - 243
EP - 250
AB - In this article, we prove a series of differentiation identities [3] involving the secant and cosecant functions and specific combinations of special functions including trigonometric, exponential and logarithmic functions.
LA - eng
UR - http://eudml.org/doc/266748
ER -

References

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  1. [4] Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990. 
  2. [5] Jarosław Kotowicz. Partial functions from a domain to the set of real numbers. Formalized Mathematics, 1(4):703-709, 1990. 
  3. [6] Jarosław Kotowicz. Real sequences and basic operations on them. Formalized Mathematics, 1(2):269-272, 1990. 
  4. [7] Konrad Raczkowski and Paweł Sadowski. Real function differentiability. Formalized Mathematics, 1(4):797-801, 1990. 
  5. [8] Konrad Raczkowski and Paweł Sadowski. Topological properties of subsets in real numbers. Formalized Mathematics, 1(4):777-780, 1990. 
  6. [9] Yasunari Shidama. The Taylor expansions. Formalized Mathematics, 12(2):195-200, 2004. 
  7. [10] Andrzej Trybulec. Subsets of complex numbers. To appear in Formalized Mathematics. 
  8. [11] Andrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9-11, 1990. 
  9. [12] Andrzej Trybulec and Czesław Byliński. Some properties of real numbers. Formalized Mathematics, 1(3):445-449, 1990. 
  10. [13] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. 
  11. [14] Peng Wang and Bo Li. Several differentiation formulas of special functions. Part V. Formalized Mathematics, 15(3):73-79, 2007. 
  12. [15] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990. 
  13. [16] Yuguang Yang and Yasunari Shidama. Trigonometric functions and existence of circle ratio. Formalized Mathematics, 7(2):255-263, 1998. 
  14. [1] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990. 
  15. [2] Czesław Byliński. Partial functions. Formalized Mathematics, 1(2):357-367, 1990. 
  16. [3] Fritz Chemnitius. Differentiation und Integration ausgewählter Beispiele. VEB Verlag Technik, Berlin, 1956. 

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