( 206 ) 



2/_|-l, hilt ill 110 case is a liiiite expression by means of elementary 

 functions obtainable. 



The function (p {x, ni) as well a^ f{,v,m) satisfies the relation 



V ]a (f (./• ]/iU >n) i = — — (f {.v, m + //) ' 



^=1 f ) r{m) 



and by means of this rule expansions for y (.r, /) and 7- ( .r, I- -\- -\ 

 may be deduced from the equations 



r^siuM ^ .^•2A+l /111 1 \ 



M , , ) 



= - I (i--' Li {e+') — t'+' Li {e--')\ , 



and 



/i::=oo 



/ 1 \ r dn xt 



rr ^^ V 2 



2 .Éiw fh 

 /.^oT 2+1 



Botany. — On "Leptostroma austriacum Oud., a hitherto 

 uiihiown Lcptosti'omacea UrliKj on the needles of Pinas aiistriaca; 

 and on Hymen ops is Typ ha e (Fuck.) Sacc, a hitherto 

 iiisnfjiciently described Tidjercnhiriacea, occur rimj on the ivi- 

 thered lea/sheaths of Typha Litifolid."' By Prof. C. A. .1. A. 



OUDEMANS. 



1. LEPTOSTROMA AUSTRIACUM Old. 

 (Plate 1.) 



On the IS'^^» of June 1904 I received from Dr. J. Ritzema Bos, 

 Professor at i\.mstei'dam, a number of specimens of transplanted seedlings 

 of Pinus aiistriaca, originating from Sclioorl, all dead and of which 

 the accompanying letter informed me that the roots showed here 

 and there cushionlike prominences, the surface of which was covered 

 with shuttle-shaped conidia, divided into cells, and the microscopic 

 properties of which resembled most those of conidia of the genus 

 Fusarinui. 



Besides 1 found, without my attention having been directed to 

 it, that most needles of the dead jilantiets were spotted on both 



