The so-called Fibonacci numbers in ancient and medieval India
type: Item
instance of: scholarly article
title: The so-called Fibonacci numbers in ancient and medieval India
zbMATH Open document ID: 0574.01005
DOI: 10.1016/0315-0860(85)90021-7
author: Parmanand Singh
published in: Historia Mathematica
publication date: 1985-01-01T00:00:00Z
review text: The sequence of numbers 0,1,1,2,3,5,8,13 wherein the n-th term \(u_ n\) is given by \(u_ n=u_{n-1}+u_{n-2}\) is attributed to Leonardo Fibonacci. But the sequence was used by Indian authorities before Leonardo's time in their works on metric. The method of their formation was given by Virahaṅka (between 600 A.D. and 800 A.D.), Gopala (prior to 1135 A.D.) and Hemacandra (1150 A.D.), all prior to Fibonacci (1202 A.D.). Nārāyaṇa Paṇdita (1356 A.D.) established a relation between Smāsika Paṅkti and the multinomial coefficients. Fibonacci numbers are only a particular case of Smāsika Paṅkti.
Mathematics Subject Classification ID: 01A32
Mathematics Subject Classification ID: 11-03
Mathematics Subject Classification ID: 11B37
zbMATH DE Number: 3916205
zbMATH Keywords: Virahaṅka
zbMATH Keywords: Gopala
zbMATH Keywords: Hemacandra
zbMATH Keywords: multinomial coefficients
zbMATH Keywords: Fibonacci numbers
MaRDI profile type: Publication
full work available at URL: 0315-0860(85)90021-7
OpenAlex ID: W2016464878
Wikidata QID: Q55878200
cites work: Q4479624
cites work: Q3248912
description: scientific article; zbMATH DE number 3916205