On application of decompositions of the known two variable polynomials to generating some identities of trigonometric nature

Roman Wituła; Edyta Hetmaniok; Alicja Wróbel

doi:10.12732/ijpam.v101i4.10

On application of decompositions of the known two variable polynomials to generating some identities of trigonometric nature

Roman Wituła
, Edyta Hetmaniok
, Alicja Wróbel

Silesian University of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper certain decompositions of the Ma polynomials, classic Cauchy polynomials and Ferrers-Jackson polynomials are used to generating some identities of trigonometric nature. Moreover, the Authors discuss also some potential applications of these decompositions to generating some identities for general recurrence sequences of the second order.

Original language	English
Pages (from-to)	561-569
Number of pages	9
Journal	International Journal of Pure and Applied Mathematics
Volume	101
Issue number	4
DOIs	https://doi.org/10.12732/ijpam.v101i4.10
Publication status	Published - 2015

Keywords

Cauchy polynomials
Ferrers-Jackson polynomials
Ma polynomials
Recurrence sequences of the second order
Trigonometric identities

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.12732/ijpam.v101i4.10

Cite this

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title = "On application of decompositions of the known two variable polynomials to generating some identities of trigonometric nature",

abstract = "In this paper certain decompositions of the Ma polynomials, classic Cauchy polynomials and Ferrers-Jackson polynomials are used to generating some identities of trigonometric nature. Moreover, the Authors discuss also some potential applications of these decompositions to generating some identities for general recurrence sequences of the second order.",

keywords = "Cauchy polynomials, Ferrers-Jackson polynomials, Ma polynomials, Recurrence sequences of the second order, Trigonometric identities",

author = "Roman Witu{\l}a and Edyta Hetmaniok and Alicja Wr{\'o}bel",

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AU - Wituła, Roman

AU - Hetmaniok, Edyta

AU - Wróbel, Alicja

PY - 2015

Y1 - 2015

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AB - In this paper certain decompositions of the Ma polynomials, classic Cauchy polynomials and Ferrers-Jackson polynomials are used to generating some identities of trigonometric nature. Moreover, the Authors discuss also some potential applications of these decompositions to generating some identities for general recurrence sequences of the second order.

KW - Cauchy polynomials

KW - Ferrers-Jackson polynomials

KW - Ma polynomials

KW - Recurrence sequences of the second order

KW - Trigonometric identities

UR - https://www.scopus.com/pages/publications/84928974653

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JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

IS - 4

ER -

On application of decompositions of the known two variable polynomials to generating some identities of trigonometric nature

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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