Asymptotic Expansion of Bessel Functions For Large Argument
This note is based on Appendix B.7 and B.8 of (Grafakos, 2008). First, we show that Bessel function can be written into the following form
This note is based on Appendix B.7 and B.8 of (Grafakos, 2008). First, we show that Bessel function can be written into the following form
This note is based on the Appendix A.7 of (Grafakos, 2008). The gamma function is defined by the integral . For integer this defines the factorial up to . ...
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Classical Case A quick proof of general Holder’s inequality is as follows. First, by Jensen’s inequality, we have for positive and satisfying ,
Definition of Bessel Functions