Add to ORKGWe study several generalizations of the AGM continued fraction of Ramanujan inspired by a series of recent articles in which the validity of the AGM relation and the domain of convergence of the continued fraction were determined for certain complex parameters [4, 3, 2]. A study of the AGM continued fraction is equivalent to an analysis of the convergence of certain difference equations and the stability of dynamical systems. Using the matrix analytical tools developed in [2], we determine the convergence properties of deterministic difference equations and so divergence of their corresponding continued fractions
This thesis discusses the various problems arising in the modern theory of dynamical systems. It sta...
Abstract. The Ramanujan AGM continued fraction is a construct Rη(a, b) = a η + b2 η
We provide explicit solutions for three q-difference equations which arise in Ramanujan and Selberg'...
We study several generalizations of the AGM continued fraction of Ramanujan inspired by a series of ...
We study several generalizations of the AGM continued fraction of Ramanujan inspired by a series of ...
The Ramanujan continued fraction [formula could not be replicated] is interesting in many ways; e.g....
We study a generalization of a continued fraction of Ramanujan with random, complex-valued coefficie...
We study a generalization of a continued fraction of Ramanujan with random coefficients. A study of ...
We study a generalization of a continued fraction of Ramanujan with random, complexvalued coefficien...
77 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.In this thesis we study genera...
91 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2002.General convergence is a conce...
AbstractBy establishing uniform convergence of some of Ramanujan's continued fractions, we are able ...
43 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.Finally, this thesis uses dyna...
AbstractIf the odd and even parts of a continued fraction converge to different values, the continue...
AbstractIn the study of simultaneous rational approximation of functions using rational functions wi...
This thesis discusses the various problems arising in the modern theory of dynamical systems. It sta...
Abstract. The Ramanujan AGM continued fraction is a construct Rη(a, b) = a η + b2 η
We provide explicit solutions for three q-difference equations which arise in Ramanujan and Selberg'...
We study several generalizations of the AGM continued fraction of Ramanujan inspired by a series of ...
We study several generalizations of the AGM continued fraction of Ramanujan inspired by a series of ...
The Ramanujan continued fraction [formula could not be replicated] is interesting in many ways; e.g....
We study a generalization of a continued fraction of Ramanujan with random, complex-valued coefficie...
We study a generalization of a continued fraction of Ramanujan with random coefficients. A study of ...
We study a generalization of a continued fraction of Ramanujan with random, complexvalued coefficien...
77 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.In this thesis we study genera...
91 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2002.General convergence is a conce...
AbstractBy establishing uniform convergence of some of Ramanujan's continued fractions, we are able ...
43 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.Finally, this thesis uses dyna...
AbstractIf the odd and even parts of a continued fraction converge to different values, the continue...
AbstractIn the study of simultaneous rational approximation of functions using rational functions wi...
This thesis discusses the various problems arising in the modern theory of dynamical systems. It sta...
Abstract. The Ramanujan AGM continued fraction is a construct Rη(a, b) = a η + b2 η
We provide explicit solutions for three q-difference equations which arise in Ramanujan and Selberg'...