A note on the form of Jacobi polynomial used in Harish-Chandra’s paper "Motion of an electron in the field of a magnetic pole"

dc.contributor.author	Yadav, Vinod Kumar	en
dc.date.accessioned	2015-02-03T11:18:29Z
dc.date.available	2015-02-03T11:18:29Z
dc.date.issued	2015-02-03
dc.identifier.uri	http://hdl.handle.net/11400/5542
dc.rights	Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.source	http://e-jst.teiath.gr/	el
dc.subject	Wave equation
dc.subject	Κυματική εξίσωση
dc.subject	Jacobi polynomial
dc.subject	Jacobi πολυώνυμο
dc.subject	Identity
dc.subject	Ταυτότητα
dc.subject	Eigenvalues
dc.subject	Ιδιοτιμές
dc.subject	Eigenfunctions
dc.subject	Ιδιοσυναρτήσεις
dc.title	A note on the form of Jacobi polynomial used in Harish-Chandra’s paper "Motion of an electron in the field of a magnetic pole"	en
heal.type	journalArticle
heal.classification	Science
heal.classification	Mathematics
heal.classification	Επιστήμες
heal.classification	Μαθηματικά
heal.classificationURI	http://zbw.eu/stw/descriptor/15685-2
heal.classificationURI	http://zbw.eu/stw/thsys/70269
heal.classificationURI	N/A-Επιστήμες
heal.classificationURI	N/A-Μαθηματικά
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85145778
heal.language	en
heal.access	free
heal.publicationDate	2012
heal.bibliographicCitation	Yadav, V.K. (2012). A note on the form of jacobi polynomial used in Harish-Chandra’s paper "Motion of an electron in the field of a magnetic pole". "e-Journal of Science & Technology". [Online] 7(1): 55-63. Available from: http://e-jst.teiath.gr/	en
heal.abstract	It is very interesting and difficult to understand the papers of the great mathematician Prof. Harish-Chandra (1923-1983). While reading any one of them the reader is compelled to know the answers of many questions standing on the way. We have tried to understand his paper and found that the Jacobi polynomial appears on the way of solution of wave equation of electron moving in the field of a magnetic pole. This Jacobi polynomial is not in the usual form appearing in mathematical literature. In this paper we have compared the Jacobi polynomial used by Harish-Chandra with its usual form. We have also deduced the explicit form for such polynomials from identity given in his paper. We have also verified the results found by him concerning Jacobi polynomials.	en
heal.publisher	Νερατζής, Ηλίας	el
heal.publisher	Σιανούδης, Ιωάννης	el
heal.journalName	e-Journal of Science & Technology	en
heal.journalName	e-Περιοδικό Επιστήμης & Τεχνολογίας	el
heal.journalType	peer-reviewed
heal.fullTextAvailability	true