Elementary evaluation of Fresnel's integrals

Rudolf Výborný

Mathematica Bohemica (1991)

  • Volume: 116, Issue: 4, page 401-404
  • ISSN: 0862-7959

Abstract

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We evaluate the Fresnel integrals by using the Leibniz rule only on a finite interval.

How to cite

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Výborný, Rudolf. "Elementary evaluation of Fresnel's integrals." Mathematica Bohemica 116.4 (1991): 401-404. <http://eudml.org/doc/29176>.

@article{Výborný1991,
abstract = {We evaluate the Fresnel integrals by using the Leibniz rule only on a finite interval.},
author = {Výborný, Rudolf},
journal = {Mathematica Bohemica},
keywords = {evaluation; Fresnel integrals; Leibniz rule; evaluation; Fresnel integrals; Leibniz rule},
language = {eng},
number = {4},
pages = {401-404},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Elementary evaluation of Fresnel's integrals},
url = {http://eudml.org/doc/29176},
volume = {116},
year = {1991},
}

TY - JOUR
AU - Výborný, Rudolf
TI - Elementary evaluation of Fresnel's integrals
JO - Mathematica Bohemica
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 116
IS - 4
SP - 401
EP - 404
AB - We evaluate the Fresnel integrals by using the Leibniz rule only on a finite interval.
LA - eng
KW - evaluation; Fresnel integrals; Leibniz rule; evaluation; Fresnel integrals; Leibniz rule
UR - http://eudml.org/doc/29176
ER -

References

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  1. H. Flanders, 10.2307/2320230, Amer. Math. Monthly 89 (1982), 264-266. (1982) Zbl0599.26012MR0650673DOI10.2307/2320230
  2. V. Jarník, Integrální počet II, ČSAV, Praha, 1955, pp. 340-342 and 361-363. (1955) 
  3. E. J. McShane, Unified integration, Academic Press, Inc., Orlando, 1983. (1983) Zbl0551.28001MR0740710
  4. R. M. McLeod, The generalized Riemann integral, The Mathematical Association of America, Washington DC, 1980. (1980) Zbl0486.26005MR0588510
  5. J. D. DePree, Ch. W. Swartz, Introduction to Real Analysis, John Wiley & Sons, New York, 1988, p. 199. (1988) MR1042294
  6. R. Weinstock, Elementary Evaluations of 0 i n f t y e - x 2 d x , 0 i n f t y cos x 2 d x , and 0 i n f t y sin x 2 d x , Amer. Math. Monthly 97 (1990), 39-42. (1990) MR1034348
  7. J. van Yzeren, Moivre's and Fresnel's integrals by simple integration, Amer. Math. Monthly 86 (1979), 691-693. (1979) Zbl0446.26003MR1539141

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