Здесь дело такое:
This equation represents a typical integral of the first kind
или
One can easily see that this equation is a first kind (improper, elliptic, etc.) integral.

Для более точного ответа нужно бы знать детали, но имеется около 600 ссылок на ткаие конструкции (и нет ссылок ВООБЩЕ на genus!) в таком источнике, как ZentralBlatt (www.emis.de)

см также
pre01686302 Yang, Weijun; Fu, Hongyuan; Shen, Longjun The numerical solution of first kind integral equation for the Helmholtz equation on smooth open arcs. (English) J. Comput. Math. 19, No.5, 489-500 (2001).

Elliptic Integral of the First Kind -- from MathWorld ... Elliptic Integral of the First Kind, ... (10). which arises in computing the period of a pendulum, is also an elliptic integral of the first kind. Use, (11). (12). ...
mathworld.wolfram.com/EllipticIntegraloftheFirstKind.html

INTEGRAL EQUATIONS OF FIRST KIND
... Series on Soviet and East European Mathematics - Vol. 7 INTEGRAL EQUATIONS OF FIRST KIND by AV Bitsadze (Steklov Inst. of Maths., Russia) This book studies ...
www.wspc.com/books/mathematics/2750.html

A Primer on Integral Equations of the First Kind: The Problem of ... Book Catalog Book Search: ... A Primer on Integral Equations of the First Kind: The Problem of Deconvolution and Unfolding. ...
www.siam.org/catalog/mcc26/wing.htm

... A Primer on Integral Equations of the First Kind. G. Milton Wing, with the assistance of John D. Zahrt. ...
www.ec-securehost.com/SIAM/ot27.html

QUADRATURES FOR BOUNDARY INTEGRAL EQUATIONS OF THE FIRST KIND ...
QUADRATURES FOR BOUNDARY INTEGRAL EQUATIONS OF THE FIRST KIND WITH LOGARITHMIC KERNELS. YUESHENG XU AND YUNHE ZHAO. Abstract: ...
math.la.asu.edu/~rmmc/jie/vol8-2/xu/xu.htm

Dataplot Vol 2 Vol 1
... ELLIP1 (Legendre's Elliptic Integral, First Kind). ELLIP2
(Legendre's Elliptic Integral, Second Kind). ...
www.itl.nist.gov/div898/software/dataplot/refman2/ch6/homep...

45: Integral equations
... Wing, G. Milton: "A primer on integral equations of the first kind. The problem of
deconvolution and unfolding", Society for Industrial and Applied Mathematics ...
www.math.niu.edu/~rusin/known-math/index/45-XX.html

... Uniform Approximation of Incomplete Elliptic Integral of the First Kind on the Extended Complex Plane. ...
www.ipsj.or.jp/members/Journal/Eng/2505/article002.html

Integrals
... EllipticK — elliptic integrals of the first kind. Elliptic ... complimentary elliptic integral of the first kind. ...
excalc.vestris.com/docs/ref-integrals.html

A WAVELET METHOD FOR THE FIRST KIND INTEGRAL EQUATIONS WITH ...
File Format: PDF/Adobe Acrobat - View as HTML
... No. 4, pp. 427-434, December 1998 A WAVELET METHOD FOR THE FIRST KIND INTEGRAL EQUATIONS WITH KERNEL k(x - y) Xiao-Qing Jin and Jin-Yun Yuan Abstract. We study ...
www.math.nthu.edu.tw/tjm/abstract/9812/tjm9812_4.pdf

Compliant Mechanisms Course, Spring 2001
... Description, Syntax(Arguments, Optional Arguments), Notes. F_Ellip, Incomplete (Complete) Elliptic Integral of the First Kind, F_Ellip(phi,k) F_Ellip(k), Omitting ...
www.et.byu.edu/~llhwww/538/class.html

и т.д. и т.п.

Yours,
Tagir.

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Note added at 2002-04-17 14:14:47 (GMT)
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Кстати, type = тип и чрезвычайно редко \"род\".
Есть еще один сайт, где это хорошо видно: www.ams.org
Там есть новая международная классификация \"сабжектов\" по математике (файл очень большой). Там то и можно увидеть все! :-)
Yours,
Tagir.