Asymptotics of the Meijer $G$-functions

Asymptotic expansions of the Meijer

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Bibliographic Details
Published inModern Trends in Constructive Function Theory Vol. 661; pp. 243 - 251
Main Authors Lin, Yu, Wong, R.
Format Book Chapter
LanguageEnglish
Published Providence, Rhode Island American Mathematical Society 31.03.2016
SeriesContemporary Mathematics
Online AccessGet full text
ISBN1470425343
9781470425340
ISSN0271-4132
1098-3627
DOI10.1090/conm/661/13285

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Abstract Asymptotic expansions of the Meijer
AbstractList Asymptotic expansions of the Meijer
Author Lin, Yu
Wong, R.
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  givenname: R.
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  email: mawong@cityu.edu.hk
  organization: Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong
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References Richard Beals and Jacek Szmigielski, Meijer GG-functions: a gentle introduction, Notices Amer. Math. Soc. 60 (2013), no. 7, 866–872. MR 3086637, DOI 10.1090/noti1016
Richard Beals and Roderick Wong, Special functions. A graduate text, Cambridge Studies in Advanced Mathematics, vol. 126, Cambridge University Press, Cambridge, 2010. MR 2683157 (2011j:33001), DOI 10.1017/CBO9780511762543
Frank W. J. Olver, Daniel W. Lozier, Ronald F. Boisvert, and Charles W. Clark (eds.), NIST handbook of mathematical functions, U.S. Department of Commerce, National Institute of Standards and Technology, Washington, DC; Cambridge University Press, Cambridge, 2010. With 1 CD-ROM (Windows, Macintosh and UNIX). MR 2723248 (2012a:33001)
Nico M. Temme, Special functions. An introduction to the classical functions of mathematical physics, A Wiley-Interscience Publication, John Wiley & Sons, Inc., New York, 1996. MR 1376370 (97e:33002), DOI 10.1002/9781118032572
F. W. J. Olver, Asymptotics and special functions, Academic Press [A subsidiary of Harcourt Brace Jovanovich, Publishers], New York-London, 1974. Computer Science and Applied Mathematics. MR 0435697 (55 \#8655)
R. B. Paris and D. Kaminski, Asymptotics and Mellin-Barnes integrals, Encyclopedia of Mathematics and its Applications, vol. 85, Cambridge University Press, Cambridge, 2001. MR 1854469 (2002h:33001), DOI 10.1017/CBO9780511546662
George E. Andrews, Richard Askey, and Ranjan Roy, Special functions, Encyclopedia of Mathematics and its Applications, vol. 71, Cambridge University Press, Cambridge, 1999. MR 1688958 (2000g:33001), DOI 10.1017/CBO9781107325937
E. W. Barnes, The Asymptotic Expansion of Integral Functions Defined by Generalised Hypergeometric Series, Proc. London Math. Soc. S2-5, no. 1, 59. MR 1577348, DOI 10.1112/plms/s2-5.1.59
Jerry L. Fields, The asymptotic expansion of the Meijer GG-function, Math. Comp. 26 (1972), 757–765. MR 0361202 (50 \#13648)
References_xml – reference: Richard Beals and Roderick Wong, Special functions. A graduate text, Cambridge Studies in Advanced Mathematics, vol. 126, Cambridge University Press, Cambridge, 2010. MR 2683157 (2011j:33001), DOI 10.1017/CBO9780511762543
– reference: Jerry L. Fields, The asymptotic expansion of the Meijer GG-function, Math. Comp. 26 (1972), 757–765. MR 0361202 (50 \#13648)
– reference: George E. Andrews, Richard Askey, and Ranjan Roy, Special functions, Encyclopedia of Mathematics and its Applications, vol. 71, Cambridge University Press, Cambridge, 1999. MR 1688958 (2000g:33001), DOI 10.1017/CBO9781107325937
– reference: Richard Beals and Jacek Szmigielski, Meijer GG-functions: a gentle introduction, Notices Amer. Math. Soc. 60 (2013), no. 7, 866–872. MR 3086637, DOI 10.1090/noti1016
– reference: Frank W. J. Olver, Daniel W. Lozier, Ronald F. Boisvert, and Charles W. Clark (eds.), NIST handbook of mathematical functions, U.S. Department of Commerce, National Institute of Standards and Technology, Washington, DC; Cambridge University Press, Cambridge, 2010. With 1 CD-ROM (Windows, Macintosh and UNIX). MR 2723248 (2012a:33001)
– reference: E. W. Barnes, The Asymptotic Expansion of Integral Functions Defined by Generalised Hypergeometric Series, Proc. London Math. Soc. S2-5, no. 1, 59. MR 1577348, DOI 10.1112/plms/s2-5.1.59
– reference: F. W. J. Olver, Asymptotics and special functions, Academic Press [A subsidiary of Harcourt Brace Jovanovich, Publishers], New York-London, 1974. Computer Science and Applied Mathematics. MR 0435697 (55 \#8655)
– reference: R. B. Paris and D. Kaminski, Asymptotics and Mellin-Barnes integrals, Encyclopedia of Mathematics and its Applications, vol. 85, Cambridge University Press, Cambridge, 2001. MR 1854469 (2002h:33001), DOI 10.1017/CBO9780511546662
– reference: Nico M. Temme, Special functions. An introduction to the classical functions of mathematical physics, A Wiley-Interscience Publication, John Wiley & Sons, Inc., New York, 1996. MR 1376370 (97e:33002), DOI 10.1002/9781118032572
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Title Asymptotics of the Meijer $G$-functions
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