Evaluation of some trigonometric series occuring in infinite chain polymercalculations

Joseph Delhalle; [No Value] DELHALLE; [No Value] HARRIS

doi:10.1002/qua.560130210

Evaluation of some trigonometric series occuring in infinite chain polymercalculations

Joseph Delhalle, [No Value] DELHALLE, [No Value] HARRIS

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Abstract

Closed formulas are presented for a number of trigonometric series whose summands contain inverse powers of one or two quadratic forms. It is shown how to arrange the formulas to remove apparent numerical instabilities, and useful numerical approximations are identified together with the range of their validity.

Original language	English
Pages (from-to)	239-254
Number of pages	16
Journal	International Journal of Quantum Chemistry
Volume	13
Issue number	2
DOIs	https://doi.org/10.1002/qua.560130210
Publication status	Published - 1978

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title = "Evaluation of some trigonometric series occuring in infinite chain polymercalculations",

abstract = "Closed formulas are presented for a number of trigonometric series whose summands contain inverse powers of one or two quadratic forms. It is shown how to arrange the formulas to remove apparent numerical instabilities, and useful numerical approximations are identified together with the range of their validity.",

author = "Joseph Delhalle and DELHALLE, {[No Value]} and HARRIS, {[No Value]}",

year = "1978",

doi = "10.1002/qua.560130210",

language = "English",

volume = "13",

pages = "239--254",

journal = "International Journal of Quantum Chemistry",

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publisher = "John Wiley & Sons Inc.",

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AU - Delhalle, Joseph

AU - DELHALLE, [No Value]

AU - HARRIS, [No Value]

PY - 1978

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N2 - Closed formulas are presented for a number of trigonometric series whose summands contain inverse powers of one or two quadratic forms. It is shown how to arrange the formulas to remove apparent numerical instabilities, and useful numerical approximations are identified together with the range of their validity.

AB - Closed formulas are presented for a number of trigonometric series whose summands contain inverse powers of one or two quadratic forms. It is shown how to arrange the formulas to remove apparent numerical instabilities, and useful numerical approximations are identified together with the range of their validity.

U2 - 10.1002/qua.560130210

DO - 10.1002/qua.560130210

M3 - Article

SN - 0020-7608

VL - 13

SP - 239

EP - 254

JO - International Journal of Quantum Chemistry

JF - International Journal of Quantum Chemistry

IS - 2

ER -

Evaluation of some trigonometric series occuring in infinite chain polymercalculations

Abstract

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