Add to ORKGAdvisors: Douglas Bowman.Committee members: Greg Ammar; Harris Bernard; Richard Blecksmith; Bowman Douglas.This dissertation establishes an Euler-Minding type theorem for the continued fraction with numerator elements --1 and denominator elements 1 + bi, where bi is a sequence of indeterminants. This theorem is employed to derive new partition identities from Ramanujan's well-known q-continued fraction which diverges to three limit points. Continued fractions that diverge to two limits are also considered: alternating partitions studied by Andrews are shown to occur in this context, and a new proof of a result of Alladi is given.Ph.D. (Doctor of Philosophy
In this paper we have established interesting results involving continued fraction. Special cases of...
Ramanujan recorded many beautiful continued fractions in his notebooks. In this paper, we derive sev...
Ramanujan has recorded several continued fractions in his notebooks. In this paper, we establish sev...
AbstractOn page 45 in his lost notebook, Ramanujan asserts that a certain q-continued fraction has t...
For integers m ≥ 2, we study divergent continued fractions whose numerators and denominators in each...
AbstractWe study the numerator and denominator of a continued fraction R(a, b) of Ramanujan and esta...
AbstractFor integers m⩾2, we study divergent continued fractions whose numerators and denominators i...
Abstract. By using Euler’s approach of using Euclid’s algorithm to expand a power series into a cont...
94 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.In Chapter 5, we prove two oth...
77 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.In this thesis we study genera...
AbstractIn this paper, the modified convergence of three Rogers-Ramanujan type continued fractions i...
The author grants HarveyMudd College the nonexclusive right to make this work available for noncomme...
In a recent paper G. Bhatnagar has given simple proofs of some of Ramanujan’s continued fractions. I...
AbstractWe investigate a one-parameter family of infinite generalised continued fractions. The fract...
© 2017, The Indian National Science Academy. We present here two classes of infinite series and the ...
In this paper we have established interesting results involving continued fraction. Special cases of...
Ramanujan recorded many beautiful continued fractions in his notebooks. In this paper, we derive sev...
Ramanujan has recorded several continued fractions in his notebooks. In this paper, we establish sev...
AbstractOn page 45 in his lost notebook, Ramanujan asserts that a certain q-continued fraction has t...
For integers m ≥ 2, we study divergent continued fractions whose numerators and denominators in each...
AbstractWe study the numerator and denominator of a continued fraction R(a, b) of Ramanujan and esta...
AbstractFor integers m⩾2, we study divergent continued fractions whose numerators and denominators i...
Abstract. By using Euler’s approach of using Euclid’s algorithm to expand a power series into a cont...
94 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.In Chapter 5, we prove two oth...
77 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.In this thesis we study genera...
AbstractIn this paper, the modified convergence of three Rogers-Ramanujan type continued fractions i...
The author grants HarveyMudd College the nonexclusive right to make this work available for noncomme...
In a recent paper G. Bhatnagar has given simple proofs of some of Ramanujan’s continued fractions. I...
AbstractWe investigate a one-parameter family of infinite generalised continued fractions. The fract...
© 2017, The Indian National Science Academy. We present here two classes of infinite series and the ...
In this paper we have established interesting results involving continued fraction. Special cases of...
Ramanujan recorded many beautiful continued fractions in his notebooks. In this paper, we derive sev...
Ramanujan has recorded several continued fractions in his notebooks. In this paper, we establish sev...