华南师范大学学报(自然科学版)
華南師範大學學報(自然科學版)
화남사범대학학보(자연과학판)
JOURNAL OF SOUTH CHINA NORMAL UNIVERSITY (NATURAL SCIENCE EDITION)
2013年
6期
26-33
,共8页
复域差分%差分方程%复域q-差分%q-差分方程%亚纯函数值分布
複域差分%差分方程%複域q-差分%q-差分方程%亞純函數值分佈
복역차분%차분방정%복역q-차분%q-차분방정%아순함수치분포
complex difference%difference equations%complex q-difference%q-difference equations%value distri-bution of meromorphic functions
介绍了近十年来复域差分、q-差分、差分方程及q-差分方程的主要研究成果,其中包括亚纯函数对数导数引理的差分模拟;Clunie引理和Mohon′ko引理的差分模拟;慢增长亚纯函数的差分、均差分的零点和不动点的性质;差分多项式的值分布性质;差分Riccati方程与差分Painlevé方程亚纯解的性质;复域q-差分及q-差分方程的解析性质。
介紹瞭近十年來複域差分、q-差分、差分方程及q-差分方程的主要研究成果,其中包括亞純函數對數導數引理的差分模擬;Clunie引理和Mohon′ko引理的差分模擬;慢增長亞純函數的差分、均差分的零點和不動點的性質;差分多項式的值分佈性質;差分Riccati方程與差分Painlevé方程亞純解的性質;複域q-差分及q-差分方程的解析性質。
개소료근십년래복역차분、q-차분、차분방정급q-차분방정적주요연구성과,기중포괄아순함수대수도수인리적차분모의;Clunie인리화Mohon′ko인리적차분모의;만증장아순함수적차분、균차분적영점화불동점적성질;차분다항식적치분포성질;차분Riccati방정여차분Painlevé방정아순해적성질;복역q-차분급q-차분방정적해석성질。
The researches on the complex difference , complex q-difference , difference equations and q-difference equations in recent decades are mainly introduced .These results include the difference analogue of the logarithmic derivative;the difference analogue of Clunie lemma;the difference counterpart of Mohon′ko lemma;the properties on the zeros , fixed-points on complex differences and divided difference of meromorphic functions with small order ;the properties on the value distribution of difference polynomials , the properties on the meromorphic solutions of difference Riccati and Painlev éequations;the results on q-differences and meromorphic solutions of q-difference e-quations.