Autoconvolution equations and special functions II
Autoconvolution equations and special functions II
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DOI：
10.1080/10652460903255459
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发表时间：
2010-04
影响因子：
1
通讯作者：
L. von Wolfersdorf
中科院分区：
文献类型：
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作者：
L. von Wolfersdorf
对于汇合超几何函数，推导了一类第一类自卷积方程，其行为类似于第三类方程，即x⇔0。此外，还处理了以 Mittag-Leffler 型函数为解的第一类自卷积方程的另一类，它推广了本文第一部分中误差函数的相关方程类。最后，列出了第二类自卷积方程的两个例子，它们具有贝塞尔函数作为解。
For confluent hypergeometric functions, a class of autoconvolution equations of the first kind is derived, which behave like equations of the third kind as x⇔0. Moreover, a further class of autoconvolution equations of the first kind with Mittag-Leffler type functions as solutions is treated, which generalizes a related class of equations for the error functions in part I of the paper. Finally, two examples of autoconvolution equations of the second kind are listed, which possess Bessel functions as solutions.