ON THETA-TYPE FUNCTIONS IN THE FORM(x;q)∞  

作　　者：Changgui ZHANG 

机构地区：[1]Laboratoire P.Painlevé(UMR—CNRS 8524),Département de mathématiques,FST,Universitéde Lille,Citéscientifique,59655,Villeneuve d’Ascq cedex,France

出　　处：《Acta Mathematica Scientia》2021年第6期2086-2106,共21页数学物理学报（B辑英文版）

基　　金：The author was supported by Labex CEMPI(Centre Europeen pour les Mathematiques,la Physique et leurs Interaction).

摘　　要：As in our previous work [14], a function is said to be of theta-type when its asymptotic behavior near any root of unity is similar to what happened for Jacobi theta functions. It is shown that only four Euler infinite products have this property. That this is the case is obtained by investigating the analyticity obstacle of a Laplace-type integral of the exponential generating function of Bernoulli numbers.

关 键 词：Q-SERIES Mock theta-functions Stokes phenomenon continued fractions 

分 类 号：O174[理学—数学]