Matrix Analogues of Some Properties for Bessel Matrix Functions
Vol. 22 (2015), No. 2, Page 519–530.
Çekim, Bayram ; Altın, Abdullah
Matrix Analogues of Some Properties for Bessel Matrix Functions
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Abstract:
In this study, we obtain some recurrence relations for Bessel matrix functions of the first kind. Then we derive a new integral representation of these matrix functions. We lastly give new relations between Bessel matrix functions of the first kind and Laguerre matrix polynomials.
Keywords: Bessel matrix functions, Jordan block, Gamma matrix function, Beta matrix function, Laguerre matrix polynomials.
Mathematics Subject Classification (2010): Primary 33C45, 33C10; Secondary 15A60.
Mathematical Reviews Number: MR3287267
Received: 2013-02-08
