The Rogers–Ramanujan continued fraction is a continued fraction discovered by Rogers (1894) and independently by Srinivasa Ramanujan, and closely related to ... Definition · Special values · Derivation of special values

The Rogers-Ramanujan continued fraction is a generalized continued fraction defined by R(q)=(q^(1/5))/(1+q/(1+(q^2)/(1+(q^3)/(1+...))))

Ramanujan developed a number of interesting closed-form expressions for generalized continued fractions. These include the almost integers.

The Rogers–Ramanujan continued fraction possesses a rich and beautiful theory containing fascinating and surprising results.

There are essentially three Ramanujan continued fractions of order eighteen, and we study them using the theory of modular functions.

24 апр. 2024 г. · The Rogers-Ramanujan continued fraction is defined by R(q)=q1/51+q1+q21+q3⋱. Rogers-Ramanujan continued fraction $R(e^{-2 \pi \sqrt 5}) Who solved the Bring quintic using the Rogers-Ramanujan ... Simple/Elementary derivation of Ramanujan's continued ... Другие результаты с сайта mathoverflow.net

If Ramanujan's continued fraction (or its reciprocal) is expanded as a power series, the sign of the coefficients is (eventually) periodic with period 5.

In this article we give solution of the general quintic equation by means of the Rogers-Ramanujan continued fraction. More precisely we express a root of the ...

which is the continued fraction of Ramanujan. Note that. 223. 9. Ramanujan seems to have had a great fascination for his continued fraction (1). It turns up ...

26 янв. 2021 г. · The Rogers-Ramanujan continued fraction is given by R(q)=q1/51+q1+q21+q31+… An infinite series plus a continued fraction by Ramanujan Does the Rogers-Ramanujan continued fraction $R(q)$ satisfy ... Другие результаты с сайта math.stackexchange.com