Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Lisa Lorentzen"'
Autor:
Lisa Lorentzen
Publikováno v:
Continued fractions and orthogonal functions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::838bf5e74500e798131a5d6808d2c6f6
https://doi.org/10.1201/9781003072591-12
https://doi.org/10.1201/9781003072591-12
Autor:
Lisa Lorentzen
Publikováno v:
Continued fractions and orthogonal functions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a869851eebe23a92a4c438167d0dd54
https://doi.org/10.1201/9781003072591-13
https://doi.org/10.1201/9781003072591-13
Autor:
Lisa Lorentzen
Publikováno v:
Modern Trends in Constructive Function Theory. :57-71
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c43f379a865d8ef7698ae82480784d00
https://doi.org/10.1090/conm/661/13274
https://doi.org/10.1090/conm/661/13274
Autor:
Lisa Lorentzen
Publikováno v:
Journal of Approximation Theory. 197:1-8
Let K ( a n / b n ) be a continued fraction with elements ( a n , b n ) picked randomly and independently from ( C ∖ { 0 } ) × C according to some probability distribution μ . We show that K ( a n / b n ) converges generally with probability 1 un
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::897776cf00337920d4ae2b623eda6759
https://doi.org/10.1016/j.jat.2014.07.009
https://doi.org/10.1016/j.jat.2014.07.009
Autor:
Lisa Lorentzen
Publikováno v:
Ramanujan 125. :123-130
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0aac7b154893005c7666e8d8ea15fd66
https://doi.org/10.1090/conm/627/12537
https://doi.org/10.1090/conm/627/12537
Autor:
Lisa Lorentzen
Publikováno v:
Constructive Approximation. 38:171-191
Let K(an/bn) be a continued fraction with elements (an,bn) picked randomly and independently from \((\mathbb{C}\setminus\{0\})\times\mathbb{C}\) according to some probability distribution μ. We find sufficient conditions on μ for K(an/bn) to conver
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::52066f33bfd7c99e5a40a5b700c25041
https://doi.org/10.1007/s00365-013-9198-y
https://doi.org/10.1007/s00365-013-9198-y
Autor:
Lisa Lorentzen
Publikováno v:
Applied Numerical Mathematics. 60:1364-1370
The purpose of this paper is to tell how continued fraction expansions of functions are derived, how they relate to Pade approximation, and how they can improve Pade approximants.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f588bb9dc7b6ac795d87ff49d9ac74fd
https://doi.org/10.1016/j.apnum.2010.03.016
https://doi.org/10.1016/j.apnum.2010.03.016
Autor:
Lisa Lorentzen
Publikováno v:
The Ramanujan Journal. 16:83-95
We prove that the Ramanujan AGM fraction diverges if |a|=|b| with a2≠b2. Thereby we prove two conjectures posed by J. Borwein and R. Crandall. We also demonstrate a method for accelerating the convergence of this continued fraction when it converge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6529f380b7bef600c5ed173eb1ec4365
https://doi.org/10.1007/s11139-007-9112-y
https://doi.org/10.1007/s11139-007-9112-y
Autor:
Lisa Lorentzen
Publikováno v:
Transactions of the American Mathematical Society. 360:4287-4304
We prove that if the continued fraction K(a n /1) has circular twin value sets (V 0 , V 1 ), then K(a n /1) converges except in some very special cases. The results generalize previous work by Jones and Thron.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97f2423feef785e96812aab83c89a6c1
https://doi.org/10.1090/s0002-9947-08-04475-9
https://doi.org/10.1090/s0002-9947-08-04475-9
Autor:
Lisa Lorentzen
Publikováno v:
The Ramanujan Journal. 17:369-385
We present an idea on how Ramanujan found some of his beautiful continued fraction identities. Or more to the point: why he chose the ones he wrote down among all possible identities.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cf3265cb934eb11c975df46c576f7715
https://doi.org/10.1007/s11139-007-9057-1
https://doi.org/10.1007/s11139-007-9057-1