The MC algorithm and its applications
Cao Xiaodong, Chen Shuang
TL;DR
This paper demonstrates how to derive infinite continued fraction formulas for Ramanujan-type series, including constants and functions, using the MC algorithm and Bauer-Muir transformation with six illustrative examples.
Contribution
It introduces a novel application of the MC algorithm and Bauer-Muir transformation to establish new continued fraction formulas for special series and constants.
Findings
Derived infinite continued fraction formulas for Ramanujan-type series
Applied the MC algorithm and Bauer-Muir transformation effectively
Provided six examples illustrating the method's utility
Abstract
By applying the MC algorithm and the Bauer-Muir transformation for continued fractions, in this paper we shall give six examples to show how to establish an infinite set of continued fraction formulas for certain Ramanujan-type series, such as Catalan's constant, the exponential function, etc.
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Taxonomy
TopicsAdvanced Mathematical Identities · Mathematical functions and polynomials · Advanced Combinatorial Mathematics