The general addition theorem and ladder operators

J. García Ravelo; A. Queijeiro; R. Cuevas; J. J. Peña; J. Morales

doi:10.1016/j.aml.2006.08.025

The general addition theorem and ladder operators

J. García Ravelo, A. Queijeiro, R. Cuevas, J. J. Peña, J. Morales

Escuela Superior de Física y Matemáticas (ESFM)

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

3 Scopus citations

Abstract

We establish a condition for obtaining differential ladder operators of functions that satisfy the general addition theorem. We show that trigonometric and hyperbolic functions fulfill this condition and give some properties and applications of these operators.

Original language	English
Pages (from-to)	758-763
Number of pages	6
Journal	Applied Mathematics Letters
Volume	20
Issue number	7
DOIs	https://doi.org/10.1016/j.aml.2006.08.025
State	Published - Jul 2007

Keywords

Addition theorem
Ladder operators
Trigonometric and hyperbolic functions

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10.1016/j.aml.2006.08.025

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title = "The general addition theorem and ladder operators",

abstract = "We establish a condition for obtaining differential ladder operators of functions that satisfy the general addition theorem. We show that trigonometric and hyperbolic functions fulfill this condition and give some properties and applications of these operators.",

keywords = "Addition theorem, Ladder operators, Trigonometric and hyperbolic functions",

author = "Ravelo, {J. Garc{\'i}a} and A. Queijeiro and R. Cuevas and Pe{\~n}a, {J. J.} and J. Morales",

note = "Funding Information: We thank Prof. Shi-Hai Dong for discussions. This work was partially supported by SNI-M{\'e}xico, project SIP-IPN 20060855 and COFAA-IPN, M{\'e}xico. ",

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T1 - The general addition theorem and ladder operators

AU - Ravelo, J. García

AU - Queijeiro, A.

AU - Cuevas, R.

AU - Peña, J. J.

AU - Morales, J.

N1 - Funding Information: We thank Prof. Shi-Hai Dong for discussions. This work was partially supported by SNI-México, project SIP-IPN 20060855 and COFAA-IPN, México.

PY - 2007/7

Y1 - 2007/7

N2 - We establish a condition for obtaining differential ladder operators of functions that satisfy the general addition theorem. We show that trigonometric and hyperbolic functions fulfill this condition and give some properties and applications of these operators.

AB - We establish a condition for obtaining differential ladder operators of functions that satisfy the general addition theorem. We show that trigonometric and hyperbolic functions fulfill this condition and give some properties and applications of these operators.

KW - Addition theorem

KW - Ladder operators

KW - Trigonometric and hyperbolic functions

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U2 - 10.1016/j.aml.2006.08.025

DO - 10.1016/j.aml.2006.08.025

M3 - Artículo

SN - 0893-9659

VL - 20

SP - 758

EP - 763

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 7

ER -

The general addition theorem and ladder operators

Abstract

Keywords

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