A New Binary BBP-type Formula for $\sqrt 5\,\log\phi$
Kunle Adegoke
TL;DR
This paper introduces a novel binary BBP-type formula for .5 .log , expanding the known formulas for mathematical constants and deriving it from a broader family of logarithmic formulas.
Contribution
A new binary BBP-type formula for .5 .log is derived, extending the set of known formulas for this constant.
Findings
New binary BBP-type formula for .5 .log discovered.
Formula derived as a special case of a broader logarithmic family.
Expands computational tools for .5 .log and related constants.
Abstract
Hitherto only a base 5 BBP-type formula is known for , where \mbox{}, the golden ratio, ( i.e. Formula 83 of the April 2013 edition of Bailey's Compendium of \mbox{BBP-type} formulas). In this paper we derive a new binary BBP-type formula for this constant. The formula is obtained as a particular case of a BBP-type formula for a family of logarithms.
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Taxonomy
TopicsCoding theory and cryptography · Advanced Mathematical Theories