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Exponential integral
(section)
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==References== * {{cite book |last = Abramowitz |first = Milton |others = [[Abramowitz and Stegun]] |author2 = Irene Stegun |title = Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables |publisher = Dover |year = 1964 |location = New York |url = https://archive.org/details/handbookofmathe000abra |isbn = 978-0-486-61272-0 |url-access = registration }}, [http://people.math.sfu.ca/~cbm/aands/page_228.htm Chapter 5]. * {{cite book | last = Bender | first = Carl M. |author2=Steven A. Orszag | title = Advanced mathematical methods for scientists and engineers | publisher = McGraw–Hill | year = 1978 | isbn = 978-0-07-004452-4 }} * {{cite book | last = Bleistein | first = Norman |author2=Richard A. Handelsman | title = Asymptotic Expansions of Integrals | publisher = Dover | year = 1986 | isbn = 978-0-486-65082-1 }} * {{Citation | last1=Andrews | first1=George E. | last2=Berndt | first2=Bruce C. | title=Ramanujan's lost notebook. Part IV | publisher=[[Springer-Verlag]] | location=Berlin, New York | isbn=978-1-4614-4080-2 | year=2013}} * {{cite journal |doi=10.1093/qmath/1.1.176 |first=Ida W. |last=Busbridge |journal=Quart. J. Math. (Oxford) |year=1950 |volume=1 |issue=1 |title=On the integro-exponential function and the evaluation of some integrals involving it |pages=176–184 |bibcode=1950QJMat...1..176B }} * {{cite journal |first1=A. |last1=Stankiewicz |title=Tables of the integro-exponential functions |journal=Acta Astronomica |volume=18 |page=289 |year=1968 |bibcode=1968AcA....18..289S }} * {{cite journal |first1=R. R. |last1=Sharma |first2=Bahman |last2=Zohuri |title=A general method for an accurate evaluation of exponential integrals E<sub>1</sub>(x), x>0 |journal=J. Comput. Phys. |volume=25 |number=2 |pages=199–204 |doi=10.1016/0021-9991(77)90022-5 |year=1977 |bibcode=1977JCoPh..25..199S }} * {{cite journal |doi=10.1090/S0025-5718-1983-0701632-1 |first1=K. S. |last1=Kölbig |title=On the integral exp(−''μt'')''t''<sup>ν−1</sup>log<sup>''m''</sup>''t'' ''dt'' |journal=Math. Comput. |year=1983 |pages=171–182 |volume=41 |number=163 |doi-access=free }} * {{cite journal |doi=10.1090/S0025-5718-1985-0777276-4 |first=M. S. |last=Milgram |journal=Mathematics of Computation |title=The generalized integro-exponential function |volume=44 |issue=170 |year=1985 |mr=0777276 |pages=443–458 |jstor = 2007964 |doi-access=free }} * {{cite journal | last1 = Misra | first1 = Rama Dhar | year = 1940 | title = On the Stability of Crystal Lattices. II | journal = [[Mathematical Proceedings of the Cambridge Philosophical Society]] | volume = 36 | issue = 2 | pages = 173 | doi = 10.1017/S030500410001714X | last2 = Born | first2 = M. |bibcode = 1940PCPS...36..173M | s2cid = 251097063 }} * {{cite journal |first1=C. |last1=Chiccoli |first2=S. |last2=Lorenzutta |first3=G. |last3=Maino |title=On the evaluation of generalized exponential integrals E<sub>ν</sub>(x) |journal=J. Comput. Phys. |volume=78 |issue=2 |pages=278–287 |year=1988 |doi=10.1016/0021-9991(88)90050-2 |bibcode=1988JCoPh..78..278C }} * {{cite journal |first1=C. |last1=Chiccoli |first2=S. |last2=Lorenzutta |first3=G. |last3=Maino |title=Recent results for generalized exponential integrals |journal=Computer Math. Applic. |volume=19 |number=5 |pages=21–29 |year=1990 |doi=10.1016/0898-1221(90)90098-5 |url=https://www.openaccessrepository.it/record/135675 |archive-url=https://web.archive.org/web/20241211053950/https://www.openaccessrepository.it/record/135675 |url-status=dead |archive-date=December 11, 2024 |doi-access= |url-access=subscription }} * {{cite journal |first1=Allan J. |last1=MacLeod |title=The efficient computation of some generalised exponential integrals |journal=J. Comput. Appl. Math. |doi=10.1016/S0377-0427(02)00556-3 |year=2002 |volume=148 |number=2 |pages=363–374 |bibcode=2002JCoAM.148..363M |doi-access=free }} * {{Citation | last1=Press | first1=WH | last2=Teukolsky | first2=SA | last3=Vetterling | first3=WT | last4=Flannery | first4=BP | year=2007 | title=Numerical Recipes: The Art of Scientific Computing | edition=3rd | publisher=Cambridge University Press | location=New York | isbn=978-0-521-88068-8 | chapter=Section 6.3. Exponential Integrals | chapter-url=http://apps.nrbook.com/empanel/index.html#pg=266 | access-date=2011-08-09 | archive-date=2011-08-11 | archive-url=https://web.archive.org/web/20110811154417/http://apps.nrbook.com/empanel/index.html#pg=266 | url-status=dead }} *{{dlmf|id=6|title=Exponential, Logarithmic, Sine, and Cosine Integrals|first=N. M. |last=Temme}}
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