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Article #1251Re: Special Continued Fractions
From: Tom Crispin
Date: Fri, 21 Aug 1998 00:00
Date: Fri, 21 Aug 1998 00:00
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2178 bytes
Hi Paul, Try the following: http://www.mathsoft.com/asolve/constant/pi/frc.html http://www.mathsoft.com/asolve/constant/e/cntfrc.html -- Best wishes, Tom. Veni Vidi Bibi tom_crispin@msn.com Paul Bruckman wrote in message <6rhlms$6kk$1@news-1.news.gte.net>... >Can anyone recommend a web site where there is some discussion in depth >of "special" >continued fractions? By this term, I refer to continued fractions >representing numbers OTHER than quadratic surds (and therefore >non-periodic), yet displaying some type of predictable pattern. The >simplest example that comes to mind is the simple continued >fraction 1+1/(2+1/(3+1/(4+..., which is a ratio of modified Bessel >functions. The >continued fractions I am interested in need not be simple ones ; for >example, Ramanujan's continued fraction would qualify. I am very >interested in studying these types of continued fractions and would like >to know how to derive such expressions and to see a collection of such >results. Thank you in advance. Paul Bruckman
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: fbe8c,dbd2d18d89fedb63 X-Google-Attributes: gidfbe8c,public X-Google-Thread: 107079,dbd2d18d89fedb63 X-Google-Attributes: gid107079,public X-Google-Thread: 1130d6,dbd2d18d89fedb63 X-Google-Attributes: gid1130d6,public X-Google-Thread: 10d67e,dbd2d18d89fedb63 X-Google-Attributes: gid10d67e,public X-Google-Thread: 109d8a,dbd2d18d89fedb63 X-Google-Attributes: gid109d8a,public X-Google-Thread: 10956d,dbd2d18d89fedb63 X-Google-Attributes: gid10956d,public X-Google-Thread: 10d29f,dbd2d18d89fedb63 X-Google-Attributes: gid10d29f,public From: "Tom Crispin" <Tom_Crispin@msn.com> Subject: Re: Special Continued Fractions Date: 1998/08/21 Message-ID: <6ric4m$alk$1@oak.prod.itd.earthlink.net> X-Deja-AN: 383428181 Approved: Robert Israel <israel@math.ubc.ca>, moderator for sci.math.research References: <6rhlms$6kk$1@news-1.news.gte.net> Organization: EarthLink Network, Inc. Newsgroups: sci.math.num-analysis,sci.math.research,sci.math,aus.mathematics,geometry.college,alt.math.recreational,sci.research Originator: israel@math.ubc.ca