Intrinsically defined curves and special functions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10189034" target="_blank" >RIV/00216208:11320/13:10189034 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.4169/math.mag.86.3.211" target="_blank" >http://dx.doi.org/10.4169/math.mag.86.3.211</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4169/math.mag.86.3.211" target="_blank" >10.4169/math.mag.86.3.211</a>

Result language

angličtina

Original language name

Intrinsically defined curves and special functions

Original language description

We study two classes of plane curves with prescribed curvature. First, we investigate spirals whose curvature is a power function, and express coordinates of the spirals' centers in terms of the gamma function. For curves in the second family, the curvature is a multiple of the sine function. We show that this family contains infinitely many closed curves and provide their characterization in terms of the zeroth order Bessel function.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2013

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematics Magazine

ISSN

0025-570X

e-ISSN

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Volume of the periodical

86

Issue of the periodical within the volume

3

Country of publishing house

US - UNITED STATES

Number of pages

9

Pages from-to

211-219

UT code for WoS article

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EID of the result in the Scopus database

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