Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions

Helmut Prodinger

Open Mathematics (2017)

  • Volume: 15, Issue: 1, page 1156-1160
  • ISSN: 2391-5455

Abstract

top
A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers.

How to cite

top

Helmut Prodinger. "Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions." Open Mathematics 15.1 (2017): 1156-1160. <http://eudml.org/doc/288384>.

@article{HelmutProdinger2017,
abstract = {A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers.},
author = {Helmut Prodinger},
journal = {Open Mathematics},
keywords = {Chebyshev polynomials; Inversion formula; Explicit formula; Scaled Fibonacci numbers},
language = {eng},
number = {1},
pages = {1156-1160},
title = {Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions},
url = {http://eudml.org/doc/288384},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Helmut Prodinger
TI - Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1156
EP - 1160
AB - A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers.
LA - eng
KW - Chebyshev polynomials; Inversion formula; Explicit formula; Scaled Fibonacci numbers
UR - http://eudml.org/doc/288384
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.