Confluent hypergeometric function (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Confluent hypergeometric function" in English language version.

Last modified: 15:59:52, 27 July 2026 (UTC)

Ref.Un. Ref.Website

Global rank English rank

2^nd place

2^nd place

434^th place

249^th place

11adsabs.harvard.edu

14^th place

9^th place

3,708^th place

2,384^th place

150^th place

174^th place

23^rd place

15^th place

adsabs.harvard.edu (Global: 14^th place; English: 9^th place)

ui.adsabs.harvard.edu

Campos, L.M.B.C. (2001). "On Some Solutions of the Extended Confluent Hypergeometric Differential Equation". Journal of Computational and Applied Mathematics. 137 (1): 177–200. Bibcode:2001JCoAM.137..177C. doi:10.1016/s0377-0427(00)00706-8. MR 1865885.

ams.org (Global: 434^th place; English: 249^th place)

mathscinet.ams.org

Campos, L.M.B.C. (2001). "On Some Solutions of the Extended Confluent Hypergeometric Differential Equation". Journal of Computational and Applied Mathematics. 137 (1): 177–200. Bibcode:2001JCoAM.137..177C. doi:10.1016/s0377-0427(00)00706-8. MR 1865885.
Frank, Evelyn (1956). "A new class of continued fraction expansions for the ratios of hypergeometric functions". Trans. Am. Math. Soc. 81 (2): 453–476. doi:10.1090/S0002-9947-1956-0076937-0. JSTOR 1992927. MR 0076937.

doi.org (Global: 2^nd place; English: 2^nd place)

Campos, L.M.B.C. (2001). "On Some Solutions of the Extended Confluent Hypergeometric Differential Equation". Journal of Computational and Applied Mathematics. 137 (1): 177–200. Bibcode:2001JCoAM.137..177C. doi:10.1016/s0377-0427(00)00706-8. MR 1865885.
Frank, Evelyn (1956). "A new class of continued fraction expansions for the ratios of hypergeometric functions". Trans. Am. Math. Soc. 81 (2): 453–476. doi:10.1090/S0002-9947-1956-0076937-0. JSTOR 1992927. MR 0076937.

jstor.org (Global: 23^rd place; English: 15^th place)

Frank, Evelyn (1956). "A new class of continued fraction expansions for the ratios of hypergeometric functions". Trans. Am. Math. Soc. 81 (2): 453–476. doi:10.1090/S0002-9947-1956-0076937-0. JSTOR 1992927. MR 0076937.

sfu.ca (Global: 3,708^th place; English: 2,384^th place)

people.math.sfu.ca

This is derived from Abramowitz and Stegun (see reference below), page 508, where a full asymptotic series is given. They switch the sign of the exponent in $exp(iπa)$ in the right half-plane but this is immaterial, as the term is negligible there or else $a$ is an integer and the sign doesn't matter.

wiley.com (Global: 150^th place; English: 174^th place)

"Aspects of Multivariate Statistical Theory | Wiley". Wiley.com. Retrieved 2021-01-23.