From df8e535423f408f789f0cb624df7a4980572bc4d Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Sat, 28 May 2022 14:57:18 +0200 Subject: more onm integration and lemniscate --- buch/chapters/references.bib | 7 +++++++ 1 file changed, 7 insertions(+) (limited to 'buch/chapters/references.bib') diff --git a/buch/chapters/references.bib b/buch/chapters/references.bib index 17ef273..32a86ec 100644 --- a/buch/chapters/references.bib +++ b/buch/chapters/references.bib @@ -111,3 +111,10 @@ publisher = { Addison-Wesley } } +@online{buch:gmp, + title = {GNU Multiprecision Arithmetic Library}, + DAY = 26, + MONTH = 5, + YEAR = 2022, + url = {https://de.wikipedia.org/wiki/GNU_Multiple_Precision_Arithmetic_Library} +} -- cgit v1.2.1 From 8a570ddc78a49006c1e6ad15bf05a19e62038f16 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Tue, 21 Jun 2022 16:16:07 +0200 Subject: jacobi stuff completed --- buch/chapters/references.bib | 8 ++++++++ 1 file changed, 8 insertions(+) (limited to 'buch/chapters/references.bib') diff --git a/buch/chapters/references.bib b/buch/chapters/references.bib index 32a86ec..0818f54 100644 --- a/buch/chapters/references.bib +++ b/buch/chapters/references.bib @@ -118,3 +118,11 @@ YEAR = 2022, url = {https://de.wikipedia.org/wiki/GNU_Multiple_Precision_Arithmetic_Library} } +@article{buch:pearsondgl, + title = {Orthogonal matrix polynomials, scalar-type Rordigues' formulas and Pearson equations}, + author = { Antion J. Dur\'an and F. Alberto Grünbaum }, + year = 2005, + journal = { Journal of Approximation theory }, + volume = 134, + pages = {267-280} +} -- cgit v1.2.1 From 98e2356f6d690fc6840c3ec5ae8b9eaf21771df2 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Tue, 21 Jun 2022 17:54:12 +0200 Subject: bessel 2nd kind --- buch/chapters/references.bib | 11 +++++++++++ 1 file changed, 11 insertions(+) (limited to 'buch/chapters/references.bib') diff --git a/buch/chapters/references.bib b/buch/chapters/references.bib index 0818f54..571831a 100644 --- a/buch/chapters/references.bib +++ b/buch/chapters/references.bib @@ -126,3 +126,14 @@ volume = 134, pages = {267-280} } + +@book{buch:specialfunctions, + author = { George E. Andrews and Richard Askey and Ranjan Roy }, + title = { Special Functions }, + series = { Encyclopedia of Mathematics and its applications }, + volume = { 71 }, + publisher = { Cambridge University Press }, + ISBN = { 0-521-78988-5 }, + year = 2004 +} + -- cgit v1.2.1 From 05d75b0f467b2535db538ecaee461cf0c8b637d1 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Mon, 27 Jun 2022 20:17:16 +0200 Subject: add stuff for elliptic filters --- buch/chapters/references.bib | 9 +++++++++ 1 file changed, 9 insertions(+) (limited to 'buch/chapters/references.bib') diff --git a/buch/chapters/references.bib b/buch/chapters/references.bib index 571831a..fbbbf30 100644 --- a/buch/chapters/references.bib +++ b/buch/chapters/references.bib @@ -137,3 +137,12 @@ year = 2004 } +@book{buch:ellfun-applications, + author = { Derek F. Lawden }, + title = { Elliptic Functions and Applications }, + series = { Applied Mathematical Sciences }, + volume = { 80 }, + publisher = { Springer-Verlag }, + year = 2010, + ISBN = { 978-1-4419-3090-3 } +} -- cgit v1.2.1 From 7cf7e37298a732b1a900b5eed59c442461e43a6d Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Mon, 27 Jun 2022 21:02:10 +0200 Subject: add more problems to chapter 11 --- buch/chapters/references.bib | 9 +++++++++ 1 file changed, 9 insertions(+) (limited to 'buch/chapters/references.bib') diff --git a/buch/chapters/references.bib b/buch/chapters/references.bib index fbbbf30..e8f3494 100644 --- a/buch/chapters/references.bib +++ b/buch/chapters/references.bib @@ -146,3 +146,12 @@ year = 2010, ISBN = { 978-1-4419-3090-3 } } + +@article{buch:almkvist-berndt, + author = { Gert Almkvist und Bruce Berndt }, + title = { Gauss, Landen, Ramanjujan, the Arithmetic-Geometric Mean, Ellipses $\pi$, and the {\em Ladies Diary} }, + journal = { The American Mathematical Monthly }, + volume = { 95 }, + pages = { 585--608 }, + year = 1988 +} -- cgit v1.2.1 From e69e3df9a1e10de9e3122d694da2e923dad711a2 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Tue, 5 Jul 2022 18:04:48 +0200 Subject: elliptic stuff complete --- buch/chapters/references.bib | 17 ++++++++++++++++- 1 file changed, 16 insertions(+), 1 deletion(-) (limited to 'buch/chapters/references.bib') diff --git a/buch/chapters/references.bib b/buch/chapters/references.bib index e8f3494..d14a3d2 100644 --- a/buch/chapters/references.bib +++ b/buch/chapters/references.bib @@ -120,7 +120,7 @@ } @article{buch:pearsondgl, title = {Orthogonal matrix polynomials, scalar-type Rordigues' formulas and Pearson equations}, - author = { Antion J. Dur\'an and F. Alberto Grünbaum }, + author = { Antonio J. Dur\'an and F. Alberto Grünbaum }, year = 2005, journal = { Journal of Approximation theory }, volume = 134, @@ -155,3 +155,18 @@ pages = { 585--608 }, year = 1988 } + +@book{buch:schwalm, + author = { William A. Schwalm }, + title = { Lectures on Selected Topics in Mathematical Physics: Elliptic Functions and Elliptic Integrals }, + publisher = { IOP Science }, + year = 2015, + ISBN = { 978-1-6817-4166-6 } +} + +@misc{buch:schwalm-youtube, + author = { William A. Schwalm }, + title = { Elliptic Functions and Elliptic Integrals }, + howpublished = { \url{https://youtu.be/DCXItCajCyo} }, + year = 2018 +} -- cgit v1.2.1