山东理工大学学报(自然科学版)
山東理工大學學報(自然科學版)
산동리공대학학보(자연과학판)
Journal of Shandong University of Technology (Natural Science Edition)
2016年
1期
18-20
,共3页
特殊函数%不完全Beta函数%Neurix极限%实数域
特殊函數%不完全Beta函數%Neurix極限%實數域
특수함수%불완전Beta함수%Neurix겁한%실수역
the special function%the incomplete Beta function%Neutrix limit%real values
?z?ag E等运用Neurix极限将不完全Beta函数Bx (a ,b)中a ,b的取值范围扩展到了整个实数域,并给出了a ,b为负整数时不完全Beta函数的显示表达式,其结果发表于Journal of Mathe‐matical Analysis and Applications 。但是,我们认为其推导过程中存在错误,在此指出错误之处,并给出相应的更正结果。
?z?ag E等運用Neurix極限將不完全Beta函數Bx (a ,b)中a ,b的取值範圍擴展到瞭整箇實數域,併給齣瞭a ,b為負整數時不完全Beta函數的顯示錶達式,其結果髮錶于Journal of Mathe‐matical Analysis and Applications 。但是,我們認為其推導過程中存在錯誤,在此指齣錯誤之處,併給齣相應的更正結果。
?z?ag E등운용Neurix겁한장불완전Beta함수Bx (a ,b)중a ,b적취치범위확전도료정개실수역,병급출료a ,b위부정수시불완전Beta함수적현시표체식,기결과발표우Journal of Mathe‐matical Analysis and Applications 。단시,아문인위기추도과정중존재착오,재차지출착오지처,병급출상응적경정결과。
?z?ag E et al .extended the incomplete beta function Bx (a ,b) to all real values of a ,b by using the neutrix limit ,which was published in“Journal of Mathematical Analysis and Appli‐cations” .Specially ,the authors achieved the explicit expression of Bx (a ,b) for negative integer values of a or b .In this paper ,we point out that there are some errors in their deduction progress and study the corresponding correction .